Relevant bibliographies by topics / PICTURE FUZZY RELATION

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Academic literature on the topic 'PICTURE FUZZY RELATION'

Author: Grafiati
Published: 16 January 2024

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Journal articles on the topic "PICTURE FUZZY RELATION"

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Hasan, Mohammad Kamrul, Abeda Sultana, and Nirmal Kanti Mitra. "Compositions of Picture Fuzzy Relations with Application in Decision Making." European Journal of Mathematics and Statistics 4, no. 2 (March 11, 2023): 19–28. http://dx.doi.org/10.24018/ejmath.2202.4.2.188.

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Picture fuzzy relation is an important and powerful concept which is suitable for describing correspondences between objects. It represents the strength of association of the elements of picture fuzzy sets. In this paper we have defined min-max composition for picture fuzzy relations and some properties are explored based on this definition. Also we have discussed some properties of max-min composition for picture fuzzy relations. Finally, an application is discussed as illustration to show how the picture fuzzy relation are applied in decision making.
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Luqman, Anam, Muhammad Akram, and Ali N. A. Koam. "Granulation of Hypernetwork Models under the q-Rung Picture Fuzzy Environment." Mathematics 7, no. 6 (June 1, 2019): 496. http://dx.doi.org/10.3390/math7060496.

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In this paper, we define q-rung picture fuzzy hypergraphs and illustrate the formation of granular structures using q-rung picture fuzzy hypergraphs and level hypergraphs. Further, we define the q-rung picture fuzzy equivalence relation and q-rung picture fuzzy hierarchical quotient space structures. In particular, a q-rung picture fuzzy hypergraph and hypergraph combine a set of granules, and a hierarchical structure is formed corresponding to the series of hypergraphs. The mappings between the q-rung picture fuzzy hypergraphs depict the relationships among granules occurring at different levels. The consequences reveal that the representation of the partition of the universal set is more efficient through q-rung picture fuzzy hypergraphs and the q-rung picture fuzzy equivalence relation. We also present an arithmetic example and comparison analysis to signify the superiority and validity of our proposed model.
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Zuo, Cen, Anita Pal, and Arindam Dey. "New Concepts of Picture Fuzzy Graphs with Application." Mathematics 7, no. 5 (May 24, 2019): 470. http://dx.doi.org/10.3390/math7050470.

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The picture fuzzy set is an efficient mathematical model to deal with uncertain real life problems, in which a intuitionistic fuzzy set may fail to reveal satisfactory results. Picture fuzzy set is an extension of the classical fuzzy set and intuitionistic fuzzy set. It can work very efficiently in uncertain scenarios which involve more answers to these type: yes, no, abstain and refusal. In this paper, we introduce the idea of the picture fuzzy graph based on the picture fuzzy relation. Some types of picture fuzzy graph such as a regular picture fuzzy graph, strong picture fuzzy graph, complete picture fuzzy graph, and complement picture fuzzy graph are introduced and some properties are also described. The idea of an isomorphic picture fuzzy graph is also introduced in this paper. We also define six operations such as Cartesian product, composition, join, direct product, lexicographic and strong product on picture fuzzy graph. Finally, we describe the utility of the picture fuzzy graph and its application in a social network.
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Cuong, Bui Cong. "Pythagorean Picture Fuzzy Sets, Part 1- basic notions." Journal of Computer Science and Cybernetics 35, no. 4 (October 31, 2019): 293–304. http://dx.doi.org/10.15625/1813-9663/35/4/13898.

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Picture fuzzy set (2013) is a generalization of the Zadeh‟ fuzzy set (1965) and the Antanassov‟intuitionistic fuzzy set. The new concept could be useful for many computational intelligentproblems. Basic operators of the picture fuzzy logic were studied by Cuong, Ngan [10,11 ].Newconcept –Pythagorean picture fuzzy set ( PPFS) is a combination of Picture fuzzy set with theYager‟s Pythagorean fuzzy set [12-14].First, in the Part 1 of this paper, we consider basic notionson PPFS as set operators of PPFS‟s , Pythagorean picture relation, Pythagorean picture fuzzy softset. Next, the Part 2 of the paper is devoted to main operators in fuzzy logic on PPFS: picturenegation operator, picture t-norm, picture t-conorm, picture implication operators on PPFS.As aresult we will have a new branch of the picture fuzzy set theory.
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Muhiuddin, Ghulam, Nabilah Abughazalah, Afaf Aljuhani, and Manivannan Balamurugan. "Tripolar Picture Fuzzy Ideals of BCK-Algebras." Symmetry 14, no. 8 (July 29, 2022): 1562. http://dx.doi.org/10.3390/sym14081562.

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In this paper, we acquaint new kinds of ideals of BCK-algebras built on tripolar picture fuzzy structures. In fact, the notions of tripolar picture fuzzy ideal, tripolar picture fuzzy implicative ideal (commutative ideal) of BCK-algebra are introduced, and related properties are studied. Also, a relation among tripolar picture fuzzy ideal, and tripolar picture fuzzy implicative ideal is well-known. Furthermore, it is shown that a tripolar picture fuzzy implicative ideal of BCK-algebra may be a tripolar picture fuzzy ideal, but the converse is not correct in common. Further, it is obtained that in an implicative BCK-algebra, the converse of aforementioned statement is true. Finally, the opinion of tripolar picture fuzzy commutative ideal is given, and some useful properties are explored. Many examples are constructed to sport our study.
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Khan, Sami Ullah, Esmail Hassan Abdullatif Al-Sabri, Rashad Ismail, Maha Mohammed Saeed Mohammed, Shoukat Hussain, and Arif Mehmood. "Prediction Model of a Generative Adversarial Network Using the Concept of Complex Picture Fuzzy Soft Information." Symmetry 15, no. 3 (February 22, 2023): 577. http://dx.doi.org/10.3390/sym15030577.

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A computer vision model known as a generative adversarial network (GAN) creates all the visuals, including images, movies, and sounds. One of the most well-known subfields of deep learning and machine learning is generative adversarial networks. It is employed for text-to-image translations, as well as image-to-image and conceptual image-to-image translations. Different techniques are used in the processing and generation of visual data, which can lead to confusion and uncertainty. With this in mind, we define some solid mathematical concepts to model and solve the aforementioned problem. Complex picture fuzzy soft relations are defined in this study by taking the Cartesian product of two complex picture fuzzy soft sets. Furthermore, the types of complex picture fuzzy soft relations are explained, and their results are also discussed. The complex picture fuzzy soft relation has an extensive structure comprising membership, abstinence, and non-membership degrees with multidimensional variables. Therefore, this paper provides modeling methodologies based on complex picture fuzzy soft relations, which are used for the analysis of generative adversarial networks. In the process, the score functions are also formulated. Finally, a comparative analysis of existing techniques was performed to show the validity of the proposed work.
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Ahmed, Dliouah, and Binxiang Dai. "Picture Fuzzy Rough Set and Rough Picture Fuzzy Set on Two Different Universes and Their Applications." Journal of Mathematics 2020 (November 29, 2020): 1–17. http://dx.doi.org/10.1155/2020/8823580.

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The major concern of this article is to propose the notion of picture fuzzy rough sets (PFRSs) over two different universes which depend on δ , ζ , ϑ -cut of picture fuzzy relation ℛ on two different universes (i.e., by combining picture fuzzy sets (PFSs) with rough sets (RSs)). Then, we discuss several interesting properties and related results on the PFRSs. Furthermore, we define some notions related to PFRSs such as (Type-I/Type-II) graded PFRSs, the degree α and β with respect to ℛ δ , ζ , ϑ on PFRSs, and (Type-I/Type-II) generalized PFRSs based on the degree α and β with respect to ℛ δ , ζ , ϑ and investigate the basic properties of above notions. Finally, an approach based on the rough picture fuzzy approximation operators on two different universes in decision-making problem is introduced, and we give an example to show the validity of this approach.
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Park, Choonkil, Shahzaib Ashraf, Noor Rehman, Saleem Abdullah, and Muhammad Aslam. "Evaluation of the product quality of the online shopping platform using t-spherical fuzzy preference relations." Journal of Intelligent & Fuzzy Systems 41, no. 6 (December 16, 2021): 6245–62. http://dx.doi.org/10.3233/jifs-202930.

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As a generalization of Pythagorean fuzzy sets and picture fuzzy sets, spherical fuzzy sets provide decision makers more flexible space in expressing their opinions. Preference relations have received widespread acceptance as an efficient tool in representing decision makers’ preference over alternatives in the decision-making process. In this paper, some new preference relations are investigated based on the spherical fuzzy sets. Firstly, the deficiency of the existing operating laws is elaborated in detail and three cases are described to identify the accuracy of the proposed operating laws in the context of t-spherical fuzzy environment. Also, a novel score function is proposed to obtain the consistent value in ranking of the alternatives. The backbone of this research, t-spherical fuzzy preference relation, consistent t-spherical fuzzy preference relations, incomplete t-spherical fuzzy preference relations, consistent incomplete t-spherical fuzzy preference relations, and acceptable incomplete t-spherical fuzzy preference relations are established. Additionally, some ranking and selection algorithms are established using the proposed novel score function and preference relations to tackle the uncertainty in real-life decision-making problems. Finally, evaluation of the product quality of the online shopping platform problem is demonstrated to show the applicability and reliability of proposed technique.
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Jan, Naeem, Bushra Akram, Abdul Nasir, Mohsin S. Alhilal, Amerah Alabrah, and Naziha Al-Aidroos. "An Innovative Approach to Investigate the Effects of Artificial Intelligence Based on Complex Bipolar Picture Fuzzy Information." Scientific Programming 2022 (February 17, 2022): 1–20. http://dx.doi.org/10.1155/2022/1460544.

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Artificial intelligence (AI) has made the life more efficient and powered many programs and services. AI is progressing rapidly, and the future is arriving faster than the predictions. Soon, AI will be more proficient as compared to humans in all aspects. Many industries are using AI for the analysis of data to find the best methods for investments. In this article, we developed the impacts of AI on different industries through the new concepts of complex bipolar picture fuzzy set (CBPFS) proposed in the current study. The CBPFS has an extensive structure that includes membership, abstinence, and nonmembership degrees with the ability to deal with multivariable problems. These degrees are fuzzy numbers between 0 and 1 inclusive; 0 being the lowest and 1 being the highest value for each degree, which reflect different meaning for membership, nonmembership, and abstinence. Furthermore, the paper explains the Cartesian product between CBPFSs and complex bipolar picture fuzzy relation (CBPFR) and its types with suitable example. Furthermore, through a comparison test with preexisting fuzzy set frameworks, some benefits of CBPFS are presented in this article.
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Nasir, Abdul, Naeem Jan, Sami Ullah Khan, Abdu Gumaei, and Abdulrahman Alothaim. "Analysis of Communication and Network Securities Using the Concepts of Complex Picture Fuzzy Relations." Computational Intelligence and Neuroscience 2021 (October 31, 2021): 1–20. http://dx.doi.org/10.1155/2021/9427492.

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In our lives, we cannot avoid the uncertainty. Randomness, rough knowledge, and vagueness lead us to uncertainty. In mathematics, the fuzzy set (FS) theory and logics are used to model uncertain events. This article defines a new concept of complex picture fuzzy relation (CPFR) in the field of FS theory. In addition, the types of CPFRs are also discussed to make the paper more fruitful. Today’s complex network architecture faces the ever-changing threats. The cyber-attackers are always trying to discover, catch, and exploit the weaknesses in the networks. So, the security measures are essential to avoid and dismantle such threats. The CPFR has a vast structure composed of levels of membership, abstinence, and nonmembership which models uncertainty better than any other structures in the theory. Moreover, a CPFR has the ability to cope with multivariable problems. Therefore, this article proposes modeling techniques based on the complex picture fuzzy information which are used to study the effectiveness and ineffectiveness of different network securities against several threats and cyber-attack practices. Moreover, the strength and preeminence of the proposed methods are verified by studying their comparison with the existing methods.
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Dissertations / Theses on the topic "PICTURE FUZZY RELATION"

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KUMARI, RANJEETA, and SHIVAM SHARMA. "HIERARCHICAL CLUSTERING OF PICTURE FUZZY RELATION." Thesis, 2023. http://dspace.dtu.ac.in:8080/jspui/handle/repository/20420.

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The paper aims to find the (𝛼̃,𝛽̃𝛾̃) - cuts of picture fuzzy relation and apply it to find its hierarchical clustering. we studied the previous results of Intuitionistic fuzzy relation and its (𝛼̃,𝛽̃,𝛾̃) - cuts. We propose a technique of finding 𝛼̃ - cuts of picture fuzzy sets using results of intuitionistic fuzzy set. Membership of PFS mainly deals with positive, negative and neutral membership while IFS only deals with positive and negative membership. In this paper, we attempt to study picture fuzzy set more deeply and providing the more results in picture fuzzy relation that contains 𝛼̃ - cuts of picture fuzzy set. Further we studied about the various applications of Intuitionistic fuzzy relation and picture fuzzy relation. Intuitionistic fuzzy relation deals with the application on the comparision of distant measures using normalised hamming distance measure. The two applications of picture fuzzy relation is discussed. First application deals with the determination of higher study area selection on the basis of composition of picture fuzzy relations. We found picture fuzzy relation on topic knowledge, study area and the skills. Then, we applied picture fuzzy transformation to obtain new picture fuzzy relation. After defuzzifying the PFR matrix we found the suitable study areas for students to continue higher studies. Second application picture-fuzzy medical diagnosis deals with the medical diagnosis of an illness and patients suffering from a particular disease is identified with the help of composition of picture fuzzy relation.
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Book chapters on the topic "PICTURE FUZZY RELATION"

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Kutlu Gündoğdu, Fatma, and Shahzaib Ashraf. "Some Novel Preference Relations for Picture Fuzzy Sets and Selection of 3-D Printers in Aviation 4.0." In Intelligent and Fuzzy Techniques in Aviation 4.0, 281–300. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75067-1_12.

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Kamacı, Hüseyin, and Subramanian Petchimuthu. "Tanimoto Similarity Coefficients Measuring Bipolar q-Rung Picture Fuzzy Information and Their Applications." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic, 258–87. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch012.

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In this chapter, the concepts of bipolar q-rung picture fuzzy set and bipolar q-rung picture fuzzy number are introduced. Moreover, the fundamentals of bipolar q-rung picture fuzzy sets and bipolar q-rung picture fuzzy numbers are studied. Relatedly, some basic operations, aggregation operators, and relations on the bipolar q-rung picture fuzzy sets/numbers are derived. The intuitive definition of Tanimoto's similarity coefficient is proposed to measure the similarity between two bipolar q-rung picture fuzzy sets. Finally, it is shown that the proposed Tanimoto similarity measures can be used to deal with the problems of medical diagnosis and pattern recognition under the bipolar q-rung picture fuzzy environment.
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Orrell, David. "The Value of Value." In Quantum International Relations, 301–20. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780197568200.003.0015.

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Money objects, from coins to bitcoins, are used in economic exchange as a way to put a number on the fuzzy concept of worth or value. They are inherently dualistic in that they combine the properties of abstract numbers with the properties of owned objects. As a result of this duality at its core, the money system exhibits the properties of a macroscopic quantum system, including entanglement, indeterminacy, and interference, with money objects playing a special role as a measurement device. This chapter argues that, by virtue of its dualistic nature, money acts as a vector of transmission, which scales up the properties of quantum mind to the global level. By bringing money back into the picture and providing an alternative to the mechanistic vision of mainstream economics, quantum social science promises to change the way we see and treat the economy, with implications for International Relations and security.
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Nagarajan, Suresh Kumar. "Genetic-Based Estimation of Biomass Using Geographical Information System." In Handbook of Research on Fuzzy and Rough Set Theory in Organizational Decision Making, 275–304. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-1008-6.ch012.

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The utilization of relative shading size of a picture to extricate the vegetation of a study range Vellore, Tamilnadu, India was proposed. This novel hereditary based calculation utilizes the pixel guide of every picture and tries to figure out the ranges using so as to fit the right determination for vegetation Biomass the hereditary based methodology. The simplicity of execution permits any further changes to the calculation in future. Capable picture handling component permitted improved control of picture A Google Programming interface was utilized to concentrate and yield picture. It permitted simple augmentation of the work to any demographic range. The proposed calculation is superior to anything some present day devices as it is taking into account singular pixel values as opposed to layers. All the more vitally, no pre-meaning of the picture or layer is needed. Pixel control permits blending the effectively utilized procedures with other more up to date picture handling strategies that would prompt a more far reaching and multi-useful calculation. The advances utilized are between operable and can be kept as a steady stage for further up degree. The calculation does endure in computational speed and can be upgraded by utilizing better equipment offices. Parallel registering may be another choice to accelerate the handling of free pixels. Certain area methodologies can be utilized to upgrade honing of picture and better limits.
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Conference papers on the topic "PICTURE FUZZY RELATION"

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Wu, Xiaoyu, Tingting Zheng, Weiwei Meng, and Junge Liu. "Additive Consistency Analysis for Picture Fuzzy Preference Relation." In 2022 IEEE/WIC/ACM International Joint Conference on Web Intelligence and Intelligent Agent Technology (WI-IAT). IEEE, 2022. http://dx.doi.org/10.1109/wi-iat55865.2022.00132.

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Lin, Y. J., T. Lee, and D. Saravanos. "Relative Index Method for Nonlinear Strain Analysis of Piezoceramic Sensored Structure." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0863.

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Abstract In this paper, a relative index method is proposed to analyze the nonlinear Von Karman strain effects on the piezoceramic sensored rotor blades. Although other qualitative and quantitative methods are available for nonlinear strain analysis, these methods have inherent drawbacks. For qualitative method the fuzzy terms such as severe, negligible influence, etc., are usually used to describe the effect. The main disadvantage of using these terms is that to different people the same fuzzy word can be interpreted differently. This causes inconsistency which may lead to inaccurate analysis. For quantitative methods, the major disadvantage is that they are unable to delineate the whole picture of the nonlinear effects. However, the proposed relative index method circumvents the drawbacks of both qualitative and quantitative methods. Firstly, it measures the nonlinear effect and converts it into a numerical value. The value is in the range of zero to one in which zero is corresponding to negligible effects and one indicates the highest severity of the nonlinear effects. In addition, to generate the index value this method takes the whole picture of nonlinear effect response into consideration. The results of using the relative index method show that at any given mode of vibration the nonlinear effect on sensor is relatively negligible at high rate of rotation than that on lower ones. The results also indicate that the nonlinear effect is increasing at lower modes of vibration but its effect on sensor almost levels off at higher modes. Moreover, if comparing index value of a given modes of vibration with the index value of its preceding modes, the effect of nonlinearity is decreasing. In addition, the results also suggest that at any given instantaneous speed of rotation the level of the nonlinear effect is diminishing with the higher acceleration/deceleration rate of operation of the blade.
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