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SSRN Electronic Journal, 2023 Fuzzy logic (fuzzy sets) possesses some widespread application in decision-making due to its ability to handle uncertainties in the implemented data and information. The application of fuzzy logic in decision-making usually involves the design of fuzzy rule-based systems.
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On Fuzzy Negations Generated by Fuzzy Implications
Formalized Mathematics, 2020 Summary We continue in the Mizar system [2] the formalization of fuzzy implications according to the book of Baczyński and Jayaram “Fuzzy Implications” [1]. In this article we define fuzzy negations and show their connections with previously defined fuzzy implications [4] and [5] and triangular norms and conorms [6].
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Pseudo Overlap Functions, Fuzzy Implications and Pseudo Grouping Functions with Applications
Axioms, 2022 Overlap and grouping functions are important aggregation operators, especially in information fusion, classification and decision-making problems. However, when we do more in-depth application research (for example, non-commutative fuzzy reasoning ...
Xiaohong Zhang +6 more
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Complex & Intelligent Systems, 2023 Fuzzy rough set models are useful tools for dealing with fuzzy and real-valued data. They have been used in many real-world applications. In this paper, we investigate the fuzzy rough set model based on triangular norms and fuzzy implications.
Zhaohao Wang
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Research of Inference Rules on Decision Implication and Variable Decision Implication [PDF]
Jisuanji kexue yu tansuo, 2022 Formal concept analysis is a data analysis method based on concept lattice, while decision implication and variable decision implication are two decision knowledge representations of formal concept analysis.
XUE Dongqian, ZHAI Yanhui, ZHANG Shaoxia, LI Deyu, XU Weihua
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An Overview of Fuzzy Implication and Its Generalizations
MathematicsFuzzy implication operators are vital in the modeling of uncertain reasoning, particularly in approximate reasoning and fuzzy inference systems. The objective of this survey is to provide a structured and comprehensive overview of fuzzy implication ...
Muhammad Gulzar +2 more
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Formulation of Fuzzy Implication Modeling Theory
AxiomsThis work introduces Fuzzy Implication Modeling Theory, a connective-centered framework that supplies an intermediate structural layer between the class and family levels in the subset of fuzzy implications generated by compositions of the three basic ...
Eleftherios Makariadis +3 more
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Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor
Electronic Notes in Theoretical Computer Science, 2009 AbstractThe main contribution of this paper is to introduce an autonomous definition of the connective “fuzzy exclusive or” (fuzzy Xor, for short), which is independent from others connectives. Also, two canonical definitions of the connective Xor are obtained from the composition of fuzzy connectives, and based on the commutative and associative ...
Benjamín R. C. Bedregal +2 more
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Similarity Measure of Hesitant Fuzzy Sets Based on Implication Function and Clustering Analysis
IEEE Access, 2020 Hesitant fuzzy set (HFS) permits several possible values as the membership degree of an element to a set to express the decision makers' hesitance. Since its appearance, HFS has been extensively applied in multi-attribute decision making, group decision ...
Wenyi Zeng, Rong Ma, Qian Yin, Zeshui Xu
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INTELLIGENCE SYSTEM OF COTTAGE CHEESE QUALITY CONTROL
Современная наука и инновации, 2022 The need of creation of the automated system for diagnostics of cottage cheese quality is proved in the article. The inverse fuzzy inference method of dependence of the final product quality on the quality of the raw materials and the correctness of the ...
A. V. Ganicheva, A. V. Ganichev
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