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Journal articles on the topic 'Fuzzy Multi-Attribute Decision Making'

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Published: 4 June 2021
Last updated: 3 February 2022

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1

Xu, Zeshui, and Ronald R. Yager. "Dynamic intuitionistic fuzzy multi-attribute decision making." International Journal of Approximate Reasoning 48, no. 1 (April 2008): 246–62. http://dx.doi.org/10.1016/j.ijar.2007.08.008.

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2

Gong, Zengtai, and Junhu Wang. "Hesitant fuzzy graphs, hesitant fuzzy hypergraphs and fuzzy graph decisions1." Journal of Intelligent & Fuzzy Systems 40, no. 1 (January 4, 2021): 865–75. http://dx.doi.org/10.3233/jifs-201016.

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Up to now, there have been a lot of research results about multi-attribute decision making problems by fuzzy graph theory. However, there are few investigations about multi-attribute decision making problems under the background of indecisiveness. The main reason is that the difference of cognition and the complexity of thinking by decision makers, for the same question have different opinions. In this paper, we proposed a hesitant fuzzy hypergraph model based on hesitant fuzzy sets and fuzzy hypergraphs. At the same time, some basic graph operations of hesitant fuzzy hypergraphs are investigated and several equivalence relationship between hesitant fuzzy hypergraphs, hesitant fuzzy formal concept analysis and hesitant fuzzy information systems are discussed. Since granular computing can deal with multi-attribute decision-making problems well, we considered the hesitant fuzzy hypergraph model of granular computing, and established an algorithm of multi-attribute decision-making problem based on hesitant fuzzy hypergraph model. Finally an example is given to illustrate the effectiveness of the algorithm.
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3

Gunaratne, M., J. L. Chameaut, and A. G. Altschaefflf. "Fuzzy multi-attribute decision making in pavement management." Civil Engineering Systems 2, no. 3 (September 1985): 166–70. http://dx.doi.org/10.1080/02630258508970400.

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4

Li, Guangxu, Gang Kou, Changsheng Lin, Liang Xu, and Yi Liao. "Multi-attribute decision making with generalized fuzzy numbers." Journal of the Operational Research Society 66, no. 11 (November 2015): 1793–803. http://dx.doi.org/10.1057/jors.2015.1.

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5

Gui, Mei, Xiaoyang Ding, and Cheng Yi Zhang. "Multi-Attribute Decision Making Method Based on Intuitionistic Fuzzy Grey Sets." Advanced Materials Research 557-559 (July 2012): 2070–74. http://dx.doi.org/10.4028/www.scientific.net/amr.557-559.2070.

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In this paper, it discussed the fuzzy multi-attribute decision making problems that are the attribute weights are known and the attribute values are intuitionistic fuzzy grey sets. Intuitionistic fuzzy grey set is given, and the positive and negative ideal points are introduced, then the definition of Hamming distance formula between the intuitionistic fuzzy grey numbers is discussed. Moreover, it puts forward multi-attribute decision making method based on intuitionistic fuzzy grey set, and discusses the steps of the method. Then, the examples are given to show that the method is reasonable and effective.
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6

Li, D. F. "A fuzzy closeness approach to fuzzy multi-attribute decision making." Fuzzy Optimization and Decision Making 6, no. 3 (August 23, 2007): 237–54. http://dx.doi.org/10.1007/s10700-007-9010-1.

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7

Sun, Peng, Jun Zhang, and Hongbin Zeng. "A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 36, no. 4 (August 2018): 735–41. http://dx.doi.org/10.1051/jnwpu/20183640735.

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To solve a multi-attribute group decision-making problem, since its attribute weight is completely unknown, based on the prospect theory, a hesitant fuzzy multi-attribute group decision making method is proposed. According to the single-attribute-preference function provided by a decision maker, an improved entropy weight method is proposed to calculate the attribute weight. The hesitant fuzzy decision-making matrix is transformed into the prospect decision-making matrix which utilizes positive and negative ideal solutions as reference points. Then alternative schemes are ranked according to the ratio of profit to loss. Finally, a numerical example is provided to verify the effectiveness and feasibility of the proposed method.
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8

Chuu *, S. J. "Fuzzy multi-attribute decision-making for evaluating manufacturing flexibility." Production Planning & Control 16, no. 3 (April 2005): 323–35. http://dx.doi.org/10.1080/09537280500063236.

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9

Gu, Xiangbai, and Qunxiong Zhu. "Fuzzy multi-attribute decision-making method based on eigenvector of fuzzy attribute evaluation space." Decision Support Systems 41, no. 2 (January 2006): 400–410. http://dx.doi.org/10.1016/j.dss.2004.08.001.

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10

SU, ZHI-XIN. "A HYBRID FUZZY APPROACH TO FUZZY MULTI-ATTRIBUTE GROUP DECISION-MAKING." International Journal of Information Technology & Decision Making 10, no. 04 (July 2011): 695–711. http://dx.doi.org/10.1142/s021962201100452x.

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The paper investigates fuzzy multi-attribute group decision-making (FMAGDM) problems. The important weights of the attributes and the ratings of the alternatives with respect to each attribute provided by multiple decision-makers are described by the linguistic variables expressed in triangular fuzzy numbers or trapezoidal fuzzy numbers. A hybrid fuzzy approach is proposed, which assesses each alternative in terms of distance measure calculated by a modified VIKOR method as well as similarity measure calculated by a modified gray relational analysis (GRA) method, to the positive ideal alternative and the negative ideal alternative. A new relative closeness coefficient is established to rank alternatives by aggregating the distance and the similarity measures. Two numerical examples for reverse logistics applications are presented to illustrate the proposed method.
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11

Liu, Lihui, and Hepu Deng. "A Fuzzy Approach for Ranking Discrete Multi-Attribute Alternatives under Uncertainty." Mathematics 8, no. 6 (June 8, 2020): 945. http://dx.doi.org/10.3390/math8060945.

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This paper presents a fuzzy approach for ranking discrete alternatives in multi-attribute decision-making under uncertainty. Linguistic variables approximated by fuzzy numbers were applied for facilitating the making of pairwise comparison by the decision maker in determining the alternative performance and attribute importance using fuzzy extent analysis. The resultant fuzzy assessments were aggregated using the simple additive utility method for calculating the fuzzy utility of each alternative across all the attributes. An ideal solution-based procedure was developed for comparing and ranking these fuzzy utilities, leading to the determination of the overall ranking of all the discrete multi-attribute alternatives. An example is provided that shows the proposed approach is effective and efficient in solving the multi-attribute decision making problem under uncertainty, due to the simplicity and comprehensibility of the underlying concept and the efficiency and effectiveness of the computation involved.
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12

Zhang, Pengdan, Qing Liu, and Bingyi Kang. "An improved OWA-Fuzzy AHP decision model for multi-attribute decision making problem." Journal of Intelligent & Fuzzy Systems 40, no. 5 (April 22, 2021): 9655–68. http://dx.doi.org/10.3233/jifs-202168.

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Multi-attribute decision-making (MADM) is an important part of modern decision-making science. Fuzzy Analytic Hierarchy Process (Fuzzy AHP) is a popular model to deal with the issue of MADM for its flexible and effective advantages. However, The traditional Fuzzy AHP with some limitations does not consider the preference (attitude) of decision makers (DMs). In addition, some ideas of combining Ordered Weighted Average (OWA) and Fuzzy AHP don’t investigated the MADM well. Some programs are only applicable to a few examples, and more general cases do not result in effective decision making. Considering these shortcomings, an OWA-Fuzzy AHP decision model using OWA weights and Fuzzy AHP is proposed in this paper. Our contribution is that the proposed method can handle situations where the degree of fuzzy synthesis is not intersected. Moreover, the loss of information can be reduced in the process of applying the proposed method, so that the decision result is more reasonable than the previous methods. Several examples and comparative experimental simulation are given to illustrate the effectiveness and superiority of the proposed model.
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13

RAO, CONGJUN, and JIN PENG. "FUZZY GROUP DECISION MAKING MODEL BASED ON CREDIBILITY THEORY AND GRAY RELATIVE DEGREE." International Journal of Information Technology & Decision Making 08, no. 03 (September 2009): 515–27. http://dx.doi.org/10.1142/s0219622009003533.

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In this paper, the problems of fuzzy multi-attribute group decision making in which the attribute values are given in the form of linguistic fuzzy numbers are studied. First of all, a new method called fuzzy dominance is given for ranking trapezoidal fuzzy numbers based on the credibility theory. Then the TOWA operator is presented to aggregate the trapezoidal fuzzy numbers. Furthermore, a new model is presented for the problems of fuzzy multi-attribute group decision making via TOWA operator, fuzzy dominance method and gray relative degree. Finally, a decision-making example is given to demonstrate the feasibility and rationality of this new model.
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14

Jin, Jiulin, Fuyang Zhu, and Taijie You. "Picture fuzzy tensor and its application in multi-attribute decision making." Journal of Intelligent & Fuzzy Systems 40, no. 6 (June 21, 2021): 11995–2009. http://dx.doi.org/10.3233/jifs-210093.

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In this paper, picture fuzzy tensor is proposed, and some related properties are studied. In the meantime, the decomposition theorem of picture fuzzy tensors is established by using picture fuzzy cutting tensors and picture fuzzy t-norm. Moreover, we propose the generalized picture fuzzy weighted interaction aggregation (GPFWIA) operator and the generalized picture fuzzy weighted interaction geometric (GPFWIG) operator. Finally, an application of picture fuzzy tensor in multi-attribute decision making (MADM) problems is presented, that is, a method is suggested to solve picture fuzzy MADM problems with multi-dimensional data characteristics. It is found that our proposed method is feasible and effective by a typical application example.
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15

Xu, Zeshui. "Multi-person multi-attribute decision making models under intuitionistic fuzzy environment." Fuzzy Optimization and Decision Making 6, no. 3 (August 29, 2007): 221–36. http://dx.doi.org/10.1007/s10700-007-9009-7.

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16

Jin, Wu, Sun, Zeng, Luo, and Peng. "A Multi-Attribute Pearson’s Picture Fuzzy Correlation-Based Decision-Making Method." Mathematics 7, no. 10 (October 21, 2019): 999. http://dx.doi.org/10.3390/math7100999.

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As a generalization of several fuzzy tools, picture fuzzy sets (PFSs) hold a special ability to perfectly portray inherent uncertain and vague decision preferences. The intention of this paper is to present a Pearson’s picture fuzzy correlation-based model for multi-attribute decision-making (MADM) analysis. To this end, we develop a new correlation coefficient for picture fuzzy sets, based on which a Pearson’s picture fuzzy closeness index is introduced to simultaneously calculate the relative proximity to the positive ideal point and the relative distance from the negative ideal point. On the basis of the presented concepts, a Pearson’s correlation-based model is further presented to address picture fuzzy MADM problems. Finally, an illustrative example is provided to examine the usefulness and feasibility of the proposed methodology.
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17

Olabanji, Olayinka Mohammed, and Khumbulani Mpofu. "Fusing Multi-Attribute Decision Models for Decision Making to Achieve Optimal Product Design." Foundations of Computing and Decision Sciences 45, no. 4 (December 1, 2020): 305–37. http://dx.doi.org/10.2478/fcds-2020-0016.

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Abstract Manufacturers need to select the best design from alternative design concepts in order to meet up with the demand of customers and have a larger share of the competitive market that is flooded with multifarious designs. Evaluation of conceptual design alternatives can be modelled as a Multi-Criteria Decision Making (MCDM) process because it includes conflicting design features with different sub features. Hybridization of Multi Attribute Decision Making (MADM) models has been applied in various field of management, science and engineering in order to have a robust decision-making process but the extension of these hybridized MADM models to decision making in engineering design still requires attention. In this article, an integrated MADM model comprising of Fuzzy Analytic Hierarchy Process (FAHP), Fuzzy Pugh Matrix and Fuzzy VIKOR was developed and applied to evaluate conceptual designs of liquid spraying machine. The fuzzy AHP was used to determine weights of the design features and sub features by virtue of its fuzzified comparison matrix and synthetic extent evaluation. The fuzzy Pugh matrix provides a methodical structure for determining performance using all the design alternatives as basis and obtaining aggregates for the designs using the weights of the sub features. The fuzzy VIKOR generates the decision matrix from the aggregates of the fuzzified Pugh matrices and determine the best design concept from the defuzzified performance index. At the end, the optimal design concept is determined for the liquid spraying machine.
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18

Wang, HaoJing, Fang Chen, and Yu Zhang. "Fuzzy Multi-Attribute Decision Making Method of Energy Alternative Evaluation." E3S Web of Conferences 118 (2019): 01024. http://dx.doi.org/10.1051/e3sconf/201911801024.

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It’s important to make the suitable energy alternatives with the comprehensive technical and economic indicators for energy-saving, emissions reduction and energy comprehensive utilization under the condition of the optimal comprehensive technology and economy index. A new fuzzy multi-attribute decision making method based on expectation is proposed to construct optimal evaluation index system for electric energy alternatives in the case that the weight information is completely unknown or only partially available. The quantitative analysis of attribute value is carried out, and the weight of each layer in the index system is determined by weighting and comparing with each other. Then, the optimization of power alternatives is achieved. The simulation results prove that the proposed method can not only make full use of the objective fuzzy information, but also achieve the interests of all parties with the advantages of practicability, efficiency and easy operation.
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19

Prasetyaningrum, Putri Taqwa, and Dhana Sudana. "Sistem Pendukung Keputusan Seleksi Visa-Kitas Lansia Menggunakan Metode Fuzzy MADM (STUDI KASUS: PT. Mulia Prima Permai)." Telematika 15, no. 1 (April 30, 2018): 30. http://dx.doi.org/10.31315/telematika.v15i1.3063.

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AbstractThe selection of elderly visa-kitas receiver to asses the cantidate who qualify at PT Mulia Prima Permai Jakarta is not an easy process. The difficulty of the procedure require in Embassy makes PT Mulia Prima Permai needs to choose the most effective way to do the selection of elderly visa applicants before sending it to the Embassy. One of the options is by using the decision making of Fuzzy Multi Attribute Dictition Making (MADM) method. The Fuzzy Multi Attribute Diction Making Method is expected can help to solve the problem of elderly visa acceptance selection effectively. In this research, it is necessary to compile some criteria and alternatives. To support the selection process of acceptance for the elderly visa kitas a Decision Support System of selection was created by using Fuzzy Multi Attribute Dicision Making (MADM) method. The Decision Support System is useful to process the required data (input) of elderly visa kitas application and outcome the request status output in the form that 100% match the results of the calculation with PT. Mulia Prima Permai.Keywords: Fuzzy Multi Attribute Dicision Making (MADM), Elderly visa-kitas selection, Decission support systemAbstrakSeleksi penerimaan visa-kitas lansia, untuk menilai calon peserta yang memenuhi syarat di PT.Mulia Prima Permai Jakarta bukanlah suatu kegiatan yang mudah. Banyaknya prosedur seleksi pada tingkat Dirjen Imigrasi, membuat PT.Mulia Prima Permai harus mengambil keputusan yang tepat untuk menyeleksi persyartan pemohon visa sebelum dikirim ke Dirjen Imigrasi, ini menjamin permohonan visa-kitas dapat dipertangung-jawabkan dan disetujui. Salah satu solusi dalam memecahkan masalah seleksi penerimaan visa kitas lansia tersebut adalah dengan pengambilan keputusan metode Fuzzy Multi Attribute Dicision Making (MADM). Metode Fuzzy Multi Attribute Dicision Making dapat membantu menyelesaikan permasalahan seleksi penerimaan visa kitas lansia tersebut dengan efektif. Dalam penelitian ini, untuk mendapatkan solusi pengambilan keputusan seleksi penerimaan visa kitas lansia tersebut, perlu disusun beberapa kriteria dan alternatif. Untuk membantu proses seleksi penerimaan visa kitas lansia tersebut, maka dibuat sebuah Sistem Pendukung Keputusan seleksi penerimaan visa kitas lansia tersebut dengan menggunakan metode Fuzzy Multi Attribute Dicision Making (MADM). Sistem Pendukung Keputusan berguna untuk mengolah data-data syarat (input) permohonan visa kitas lansia dan mengahsilkan output status permohonan berupa kesamaan hasil 98% cocok terhadap hasil perhitungan PT. Mulia Prima Permai.Kata kunci: Fuzzy Multi Attribute Dicision Making (MADM), Seleksi visa-kitas lansia, Sistem Pendukung Keputusan
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20

Duan, Rong, Qing Bang Han, and Zuo Wang. "Multi-Attribute Group Decision Making Models under Intuitionistic Fuzzy Environment." Applied Mechanics and Materials 263-266 (December 2012): 3225–29. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.3225.

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In order to solve the problem of multi-attribute group-decision making with the elements of evaluation matrix are intuitionistic fuzzy sets, this paper offers corresponding TOPSIS models based on the information entropy weights and examples to be verified. The examples show the feasibility and effectiveness of the proposed models.
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21

Li, Mei. "Intuitionistic Fuzzy Multiple Attribute Decision Making Method Based on Closeness Degree." Applied Mechanics and Materials 536-537 (April 2014): 426–29. http://dx.doi.org/10.4028/www.scientific.net/amm.536-537.426.

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Closeness degree is a metric similar levels between two fuzzy sets. This paper extends the closeness degree to the filed of intuitionistic fuzzy multiple attribute decision making. First it defines the closeness degree of two intuitionistic fuzzy vector, then proposes a method based on closeness degree to solve intuitionistic fuzzy multi-attribute decision making problems with the known weights, and demonstrates the effectiveness of this method with examples at last.
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22

Ohlan, Anshu. "Intuitionistic fuzzy exponential divergence: Application in multi-attribute decision making." Journal of Intelligent & Fuzzy Systems 30, no. 3 (March 1, 2016): 1519–30. http://dx.doi.org/10.3233/ifs-151859.

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23

Ravi, V., and P. J. Reddy. "Ranking of Indian coals via fuzzy multi attribute decision making." Fuzzy Sets and Systems 103, no. 3 (May 1999): 369–77. http://dx.doi.org/10.1016/s0165-0114(97)00394-1.

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24

Wang, Jiajia, Xueling Ma, Zeshui Xu, and Jianming Zhan. "Three-way multi-attribute decision making under hesitant fuzzy environments." Information Sciences 552 (April 2021): 328–51. http://dx.doi.org/10.1016/j.ins.2020.12.005.

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25

Kuo, Tsai-Chi, Sheng-Hung Chang, and Samuel H. Huang. "Environmentally conscious design by using fuzzy multi-attribute decision-making." International Journal of Advanced Manufacturing Technology 29, no. 3-4 (July 27, 2005): 209–15. http://dx.doi.org/10.1007/s00170-005-2504-5.

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26

Kuo, Tsai-Chi, Sheng-Hung Chang, and Samuel H. Huang. "Environmentally conscious design by using fuzzy multi-attribute decision-making." International Journal of Advanced Manufacturing Technology 29, no. 5 (January 25, 2006): 419–25. http://dx.doi.org/10.1007/s00170-005-2540-1.

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27

Kuo, Tsai-Chi, Sheng-Hung Chang, and Samuel H. Huang. "Environmentally conscious design by using fuzzy multi-attribute decision-making." International Journal of Advanced Manufacturing Technology 29, no. 5-6 (September 2006): 419–25. http://dx.doi.org/10.1007/bf02729093.

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28

Fu, Qiang, Yafei Song, Cheng-li Fan, Lei Lei, and Xiaodan Wang. "Evidential model for intuitionistic fuzzy multi-attribute group decision making." Soft Computing 24, no. 10 (September 28, 2019): 7615–35. http://dx.doi.org/10.1007/s00500-019-04389-2.

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29

Li, Deng-Feng. "Compromise ratio method for fuzzy multi-attribute group decision making." Applied Soft Computing 7, no. 3 (June 2007): 807–17. http://dx.doi.org/10.1016/j.asoc.2006.02.003.

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30

Johnson Savarimuthu, S., and S. Kowsalya. "Hexagon Hesitant Fuzzy Multi – Attribute Decision Making Based On TOPSIS." Journal of Physics: Conference Series 1850, no. 1 (May 1, 2021): 012036. http://dx.doi.org/10.1088/1742-6596/1850/1/012036.

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31

Lin, Jian, Riqing Chen, and Qiang Zhang. "Similarity-Based Approach for Group Decision Making with Multi-Granularity Linguistic Information." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 24, no. 06 (November 30, 2016): 873–900. http://dx.doi.org/10.1142/s0218488516500409.

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The aim of this article is to investigate the approach for multi-attribute group decision-making, in which the attribute values take the form of multi-granularity multiplicative linguistic information. Firstly, to process multiple sources of decision information assessed in different multiplicative linguistic label sets, a method for transforming multi-granularity multiplicative linguistic information into multiplicative trapezoidal fuzzy numbers is proposed. Then, a formula for ranking multiplicative trapezoidal fuzzy numbers is given based on geometric mean. Furthermore, the concept of similarity degree between two multiplicative trapezoidal fuzzy numbers is defined. The attribute weights are obtained by solving some optimization models. An effective approach for group decision making with multi-granularity multiplicative linguistic information is developed based on the ordered weighted geometric mean operator and proposed formulae. Finally, a practical example is provided to illustrate the practicality and validity of the proposed method.
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32

Chen, Yuan, Bing Li, and Xiao Jun Yang. "An Integrated Fuzzy Multi-Attribute Decision-Making Methodology for Evaluation of Mechanical Product." Key Engineering Materials 450 (November 2010): 534–38. http://dx.doi.org/10.4028/www.scientific.net/kem.450.534.

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The concept evaluation of mechanical product is essentially a multi-attribute decision making (MADM) problem in the fuzzy environment. In order to reduce the adverse impact of preference or judgments of decision makers on the final evaluation results, this paper attempts to propose an integrated fuzzy multi-attribute decision making methodology that combines the fuzzy TOPSIS technique and the objective weighting to evaluate mechanical product. The fuzzy TOPSIS technique is applied to rank the design alternatives, and the objective weighting method is integrated into the fuzzy TOPSIS technique to determine the appropriate criteria weights. Finally, a real application to pan mechanism selection for a cooking robot is demonstrated.
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33

Nureize, Arbaiy, and Junzo Watada. "Multi-Attribute Decision Making in Contractor Selection Under Hybrid Uncertainty." Journal of Advanced Computational Intelligence and Intelligent Informatics 15, no. 4 (June 20, 2011): 465–72. http://dx.doi.org/10.20965/jaciii.2011.p0465.

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The successful of a construction industry project depends on contractor evaluation and selection. Further, human judgment and unknown evaluation risk make evaluation and selection increasingly complex. Such situations show that a contractor selection is influenced by multiple attributes that often have the hybrid uncertainty of fuzziness and probability. The objective of this study is therefore to propose a fuzzy random variable based multi-attribute decision scheme that enables us to solve such problems within the bounds of hybrid uncertainty by using a fuzzy random regression model. The proposed model is explained in examples and its usefulness is clarified. This decision model is facilitated in its use by evaluating alternatives and enables us to indicate the optimum choice in the presence of hybrid uncertainty.
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34

Liu, Guo Feng, Li Guo, and Yue Bao. "Multi-Attribute Decision Making Based on the Similarity Degree of Ternary Interval Numbers." Advanced Materials Research 926-930 (May 2014): 3092–95. http://dx.doi.org/10.4028/www.scientific.net/amr.926-930.3092.

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For multi-attribute decision making problems whose attribute values are ternary interval numbers and their weights and attribute values are not fully, this paper proposes a decision-making method based on the similarity degree of ternary interval numbers. Firstly, utilizing the closeness theory of fuzzy sets, we give the corresponding axiomatic definition of ternary interval numbers and obtain the corresponding calculation formula of similarity degree. Then, according to the basic idea of traditional TOPSIS method, we establish the multi-attribute decision making and give the general steps of solving multi-attribute decision making problems. Finally, the paper demonstrates the effectiveness and practicality of the method by the example analysis.
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35

Zhang, Mo, Qinghua Zhang, and Man Gao. "A sequential three-way decision model based on hesitant fuzzy sets." Journal of Intelligent & Fuzzy Systems 40, no. 5 (April 22, 2021): 9073–84. http://dx.doi.org/10.3233/jifs-201524.

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As a new extended model of fuzzy sets, hesitant fuzzy set theory is a useful tool to process uncertain information in decision making problems. The traditional hesitant fuzzy multi-attribute decision making (MADM) can only choose an optimal strategy, which is not suitable for all of the complex scenarios. Typically, in practical application, decision making problems may be more complicated involving three options of acceptance, non-commitment and rejection decisions. Three-way decisions, which divide universe into three disjoint regions by a pair of thresholds, are more efficient to deal with these problems. Therefore, how to utilize three-way decision theory to process hesitant fuzzy information is an essential issue to be studied. In this paper, from the perspective of hesitant fuzzy distance, a hesitant fuzzy three-way decision model is proposed. First, because hesitant fuzzy element (HFE) is a set of several possible membership degrees, it cannot be compared with thresholds directly. Hence, this paper converts it into the comparison between the distance and the thresholds. Then, to calculate thresholds more reasonably, shadowed set theory is introduced to avoid the subjectivity of threshold acquisition. Furthermore, sequential strategy is adopted to solve the multi-attribute decision making problems. Finally, an example of medical diagnosis and simulation experiments are given to prove the accuracy and efficiency of the proposed hesitant fuzzy three-way decision model.
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36

Khan, Saifullah, Saleem Abdullah, Lazim Abdullah, and Shahzaib Ashraf. "Logarithmic Aggregation Operators of Picture Fuzzy Numbers for Multi-Attribute Decision Making Problems." Mathematics 7, no. 7 (July 8, 2019): 608. http://dx.doi.org/10.3390/math7070608.

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The objective of this study was to create a logarithmic decision-making approach to deal with uncertainty in the form of a picture fuzzy set. Firstly, we define the logarithmic picture fuzzy number and define the basic operations. As a generalization of the sets, the picture fuzzy set provides a more profitable method to express the uncertainties in the data to deal with decision making problems. Picture fuzzy aggregation operators have a vital role in fuzzy decision-making problems. In this study, we propose a series of logarithmic aggregation operators: logarithmic picture fuzzy weighted averaging/geometric and logarithmic picture fuzzy ordered weighted averaging/geometric aggregation operators and characterized their desirable properties. Finally, a novel algorithm technique was developed to solve multi-attribute decision making (MADM) problems with picture fuzzy information. To show the superiority and the validity of the proposed aggregation operations, we compared it with the existing method, and concluded from the comparison and sensitivity analysis that our proposed technique is more effective and reliable.
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37

Wang, R. B., and L. X. Gu. "Fuzzy Multiple Attributes Decision-Making Hybrid Model for Selecting Aircraft Baseline Scenario." Applied Mechanics and Materials 743 (March 2015): 30–36. http://dx.doi.org/10.4028/www.scientific.net/amm.743.30.

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Expertise or certain performance metrics information was often separately considered to model the Aircraft baseline scenario preferential problem in a traditional way, with one-sidedness and subjective. This paper focus on baseline scenario preferential problem in aircraft conceptual design, proposed a hybrid fuzzy decision merit model with synthesizing the description and numerical fuzzy indicators and using interval theory to model the fuzziness of each attribute. Proposed the preference information method based on multi-level expertise interval scale to model description fuzzy indicators and grey incidence analysis to model numerical fuzzy indicators, induced objective information entropy to increase the discrimination degree among group information, and then established a hybrid fuzzy interval multi-attribute decision model based on expertise, grey scale and objective information entropy, by constructing the Lagrangian function to solve each attribute weights. Applied it to the aircraft baseline scenario preferred example, to verify its feasibility and effectiveness.
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38

Fu, Sha, Xi-long Qu, Hang-jun Zhou, and Guo-bing Fan. "A Multi-Attribute Decision-Making Model Using Interval-Valued Intuitionistic Fuzzy Numbers and Attribute Correlation." International Journal of Enterprise Information Systems 14, no. 1 (January 2018): 21–34. http://dx.doi.org/10.4018/ijeis.2018010102.

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This article describes a decision analysis method with attribute correlation and attribute values of interval-valued intuitionistic fuzzy numbers (IVIFN). This considers the correlation between attributes and undetermined attribute weight information was put forward against the case where solution attribute values are interval-valued intuitionistic fuzzy numbers. To achieve a comprehensive consideration of the undetermined evaluation attribute weight information, experts' positive and negative ideal solutions against each attribute are taken as reference points, attribute weight is obtained via decision making trial and evaluation laboratory (DEMATEL) method according to the direct relation matrix provided by experts against attribute sets. On this basis, evaluation information is aggregated by using weighted arithmetic average operators. Then, the closeness degree formula of interval-valued intuitionistic fuzzy numbers relative to the maximum IVIFN is provided by combining the Euclidean distance of IVIFN, thus determining closeness degree and making an ordering of all solutions. Finally, the feasibility and validity of the method proposed in this study are verified via a case analysis of the best information system decision-making.
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Lin, Wei, Guangle Yan, and Yuwen Shi. "Dynamic Multi-Attribute Group Decision Making Model Based on Generalized Interval-Valued Trapezoidal Fuzzy Numbers." Cybernetics and Information Technologies 14, no. 4 (January 31, 2015): 11–28. http://dx.doi.org/10.1515/cait-2014-0002.

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Abstract In this paper we investigate the dynamic multi-attribute group decision making problems, in which all the attribute values are provided by multiple decision makers at different periods. In order to increase the level of overall satisfaction for the final decision and deal with uncertainty, the attribute values are enhanced with generalized interval-valued trapezoidal fuzzy numbers to cope with the vagueness and indeterminacy. We first define the Dynamic Generalized Interval-valued Trapezoidal Fuzzy Numbers Weighted Geometric Aggregation (DGITFNWGA) operator and give an approach to determine the weights of periods, using the probability density function of Gamma distribution, and then a dynamic multi-attribute group decision making method is developed. The method proposed employs the Generalized Interval-valued Trapezoidal Fuzzy Numbers Hybrid Geometric Aggregation (GITFNHGA) operator to aggregate all individual decision information into the collective attribute values corresponding to each alternative at the same time period, and then utilizes the DGITFNWGA operator to aggregate the collective attribute values at different periods into the overall attribute values corresponding to each alternative and obtains the alternatives ranking, by which the optimal alternative can be determined. Finally, an illustrative example is given to verify the approach developed.
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40

Xu, Chen Guang, Dong Xiao Liu, and Min Li. "Extension of VIKOR Method for Multi-Attribute Group Decision Making with Incomplete Weights." Applied Mechanics and Materials 513-517 (February 2014): 721–24. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.721.

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In this paper, we First utilize the induced interval-valued intuitionistic fuzzy hybrid averaging (I-IIFHA) operator to aggregate all individual interval-valued intuitionistic fuzzy decision matrices provided by the decision makers into a collective interval-valued intuitionistic fuzzy decision matrix. Based on the basic ideal of traditional VIKOR method, we establish an optimization model to determine the weights of attributes. Then, calculation steps based on the collective interval-valued intuitionistic fuzzy decision matrix and traditional VIKOR method for solving the MAGDM problems with interval-valued intuitionistic fuzzy assessments and partially known weight information are given. Finally, a numerical example is used to illustrate the applicability of the proposed approach.
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Zhu, Yahui, and Li Gao. "Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 38, no. 6 (December 2020): 1361–69. http://dx.doi.org/10.1051/jnwpu/20203861361.

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Aiming at solving the problem of probability hesitation fuzzy multi-attribute decision making, a new decision-making method of probability hesitation fuzzy multi-attribute is proposed in this paper, based on Hamacher operations and MULTIMOORA method. Firstly, probability hesitation fuzzy Hamacher operations are defined, including sum, product, scalar multiplication and exponentiation, and their properties are studied. On this basis, probability hesitation fuzzy Hamacher weighted average operator and probability hesitation fuzzy Hamacher weighted geometric average operator are proposed, and their properties are also studied. Secondly, alternative from multiple perspectives are chosen and compared by using the MULTIMOORA method. Finally, the effectiveness and feasibility of the decision-making method are verified by an example.
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42

Ullah, Rizwan, De Qun Zhou, and Peng Zhou. "Design Concept Evaluation and Selection: A Decision Making Approach." Applied Mechanics and Materials 155-156 (February 2012): 1122–26. http://dx.doi.org/10.4028/www.scientific.net/amm.155-156.1122.

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This study proposes a multi-attribute decision making based approach for product design concept evaluation and selection. The technique for order preference by similarity to ideal solution (TOPSIS) is combined with fuzzy sets and information entropy. While the fuzzy sets theory is employed to capture the associated vagueness in the expert judgment, the combination of information entropy method with multi-attribute decision making makes the approach computationally efficient. We present the results of the evaluation of design concepts which demonstrate the feasibility and practicability of the approach. The proposed approach will result in considerable time and cost saving by identifying the most promising product design concepts and short-listing for further design and development activities.
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43

He, Ping, Zaoli Yang, and Bowen Hou. "A Multi-Attribute Decision-Making Algorithm Using Q-Rung Orthopair Power Bonferroni Mean Operator and Its Application." Mathematics 8, no. 8 (July 29, 2020): 1240. http://dx.doi.org/10.3390/math8081240.

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The process of decision-making is subject to various influence factors and environmental uncertainties, which makes decision become a very complex task. As a new type of decision processing tool, the q-rung orthopair fuzzy sets can effectively deal with complex uncertain information arising in the decision process. To this end, this study proposes a new multi-attribute decision-making algorithm based on the power Bonferroni mean operator in the context of q-rung orthopair fuzzy information. In this method, in view of multi-attribute decision-making problem of internal relationship between multiple variables and extreme evaluation value, the Bonferroni mean operator is combined with power average operator. Then, the integrated operator is introduced into the q-rung orthopair fuzzy set to develop a new q-rung orthopair power Bonferroni mean operator, and some relevant properties of this new operator are discussed. Secondly, a multi-attribute decision-making method is established based on this proposed operator. Finally, the feasibility and superiority of our method are testified via a numerical example of investment partner selection in the tourism market.
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44

Xu, Xiaoyue, Danhui Fang, and Yinghua Song. "Emergency decision-making method based on multi-attribute intuitionistic fuzzy and evidence theory." E3S Web of Conferences 253 (2021): 02027. http://dx.doi.org/10.1051/e3sconf/202125302027.

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Multi-attribute emergency decision-making problems have the characteristics of incomplete information and shortage of response time. Evidence theory can effectively express uncertain information in the decision-making process. However, evidence theory requires that the condition of evidence independence is met, and the evaluation information of experts is often vague. Therefore, an emergency decision-making method based on intuitionistic fuzzy sets and evidence theory is proposed. First, each expert gives an intuitionistic fuzzy evaluation of each emergency plan. Secondly, the proposed intuitionistic fuzzy similarity calculation method is used to obtain the similarity between experts and determine the expert weight. The attribute weight is known, the intuitionistic fuzzy evaluation is converted into a Mass function, and the evaluation of expert's decision-making plan is revised and fused using evidence theory to obtain the final decision. Finally, an example analysis proves that the model is feasible and effective.
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45

Gui, Mei, and Yue Lin Huang. "Multi-Attribute Decision Making Method Based on the Satisfaction under Interval-Valued Intuitionistic Fuzzy Environment." Applied Mechanics and Materials 631-632 (September 2014): 1253–56. http://dx.doi.org/10.4028/www.scientific.net/amm.631-632.1253.

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In this paper, it discussed multi-attribute decision making (MADM) problems in which the information about attribute weights is incomplete and decision-making information is characterized by interval-valued intuitionistic fuzzy number (IVIFNs), decision-making method is proposed based on the satisfaction. First, we define positive and negative ideal point of the comprehensive attribute values and satisfaction function, and make use of satisfaction function to establish a multi-objective optimization model, apply this model to determine the attribute weight vector, calculate the comprehensive attribute values, rank the alternatives according to the score function and precise function of the comprehensive attribute values. Finally, the examples are given to show that the method is reasonable and effective.
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46

Nazari, Abdolhadi, Mohammad Mehdi Salarirad, and Abbas Aghajani Bazzazi. "Landfill site selection by decision-making tools based on fuzzy multi-attribute decision-making method." Environmental Earth Sciences 65, no. 6 (June 15, 2011): 1631–42. http://dx.doi.org/10.1007/s12665-011-1137-2.

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47

Li, Jin-qiu, Wei Chen, Zao-li Yang, and Chuan-yun Li. "A time-preference and VIKOR-based dynamic intuitionistic fuzzy decision making method." Filomat 32, no. 5 (2018): 1523–33. http://dx.doi.org/10.2298/fil1805523l.

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According to the decision information of multi-attribute decision-making problem with fuzzy and temporal characteristics, a dynamic intuitionistic fuzzy decision making method based on time preference and VIKOR is proposed. First, we determined the attribute weights under different time sequence based on intuitionistic fuzzy entropy minimization; secondly, we introduced the time degree function reflecting the decision makers? subjective time preference, and established a multi-objective programming model to obtain time weights; then we used dynamic intuitionistic fuzzy weighted geometric (DIFWG) operator to integrate different time periods of the intuitionistic fuzzy decision matrices; the VIKOR method is used in ranking solutions that takes account of group effectiveness maximization and individual regret minimization, and obtained the optimal scheme that is closet to ideal solution; finally, the feasibility and effectiveness of the proposed method is verified by the example of a technology innovation alliance partner selection.
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48

Wang, Wan Jun, and Yan Yan. "A Multi-Attribute Decision-Making Method Based on SPAOWA Operator." Applied Mechanics and Materials 571-572 (June 2014): 124–27. http://dx.doi.org/10.4028/www.scientific.net/amm.571-572.124.

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The vagueness of human thinking and complexity of perception of the objective reality led to the uncertainty of decision-making. Facing with the growing mass of information, the problem of uncertain information, vague information and uncertain fuzzy decision making become increasingly important. The paper studied the multi-attribute decision-making problem raised from decision information in the form of set pair number, put forward a Set Pair Analysis Ordered Weighted Averaging (SPAOWA) operator and set up a multi-attribute decision-making method for information aggregation and ordering by score function with set pair number. Feasibility of the proposed method has been analyzed by the given examples.
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49

Ren, Haiping, and Hui Zhou. "Triangular Fuzzy Multi-attribute Decision Making Based on Risk Attitude of Decision Maker." International Journal of Hybrid Information Technology 8, no. 7 (July 31, 2015): 161–68. http://dx.doi.org/10.14257/ijhit.2015.8.7.14.

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Liao, Huchang, Zeshui Xu, and Jiuping Xu. "An approach to hesitant fuzzy multi-stage multi-criterion decision making." Kybernetes 43, no. 9/10 (November 3, 2014): 1447–68. http://dx.doi.org/10.1108/k-11-2013-0246.

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Purpose – The purpose of this paper is to develop some weight determining methods for hesitant fuzzy multi-criterion decision making (MCDM) in which the preference information on attributes is collected over different periods. Design/methodology/approach – Based on the proposed weight determining methods and dynamic hesitant fuzzy aggregation operators, an approach is developed to solve the hesitant fuzzy multi-stage multi-attribute decision-making problem where all the preference information of attributes over different periods is represented in hesitant fuzzy values. Findings – In order to determine the weights associated with dynamic hesitant fuzzy operators, the authors propose the improved maximum entropy method and the minimum average deviation method. Research limitations/implications – This paper does not consider the multi-stage multi-criteria group decision-making problem. Practical implications – An example concerning the evaluation of rangelands is given to illustrate the validation and efficiency of the proposed approach. It should be stated that the proposed approach can also be implemented into other multi-stage MCDM problems. Originality/value – The concept of hesitant fuzzy variable (HFV) is defined. Some operational laws and properties of the HFVs are given. Moreover, to fuse the multi-stage hesitant fuzzy information, the aggregation operators of hesitant fuzzy sets are extended to that of the HFVs.
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