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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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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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Fuzzy and probabilistic choice functions: a new set of rationality conditions [PDF]
, 2015 IFSA-EUSFLAT'2015: 16th World Congress of the International Fuzzy Systems Association and 9th Conference of the European Society for Fuzzy Logic and Technlogy, July 2015, Gijón, SpainProbabilistic and fuzzy choice theory are used to describe decision ...
Baets, Bernard de +3 more
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Implication functions in interval-valued fuzzy set theory [PDF]
, 2013 Interval-valued fuzzy set theory is an extension of fuzzy set theory in which the real, but unknown, membership degree is approximated by a closed interval of possible membership degrees.
Deschrijver, Glad
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Noncommutative field theory on $\mathbb{R}^3_\lambda$ [PDF]
, 2014 We consider the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of the algebra of functions on $\mathbb{R}^3$ which yields a foliation of $\mathbb{R}^3$ into fuzzy spheres. We first review the construction of a natural matrix basis adapted to $
Bronstein +23 more
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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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Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of L-fuzzy mathematical morphology [PDF]
, 2011 Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology.
Deschrijver, Glad +5 more
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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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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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