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On Fuzzy Negations Generated by Fuzzy Implications [PDF]
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].
Grabowski, Adam
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Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor [PDF]
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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MathematicsThis paper presents new classes of strong fuzzy negations, fuzzy implications and Copulas. It begins by presenting two theorems with function classes involving the construction of strong fuzzy negations.
Panagiotis Georgiou Mangenakis +1 more
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A Fuzzy Implication-Based Approach for Validating Climatic Teleconnections
Mathematics, 2022 Fuzzy logic, during recent decades, has evolved into one of the most influential scientific fields. To an extent, this is due to its applications which have a profound impact on the daily life of people worldwide.
Stefanos Makariadis, Basil Papadopoulos
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Semantics of Propositional Fuzzy Modal Logic with Evaluated Syntax and its Application to Fuzzy Decision Implications [PDF]
International Journal of Computational Intelligence Systems, 2015 This paper deals with propositional fuzzy modal logic with evaluated syntax based on MV-algebras. We focus on its semantical theory from the viewpoint of Pavelka's graded semantics of propositional fuzzy logic, investigate the L-tautologies based on ...
Xiaodong Pan, Yang Xu
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Generating of fuzzy implications [PDF]
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology, 2013 This paper deals with some dependencies between fuzzy connectives, on the pattern of laws in a classical propositional calculus, which allow to generate fuzzy implications. Fuzzy implications generated both by a triple: fuzzy conjunction, disjunction and negation, and by two fuzzy implications are considered.
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Generated fuzzy implications and fuzzy preference structures [PDF]
, 2012 summary:The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied.
Hliněná, Dana, Biba, Vladislav
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Analyzing Differentiable Fuzzy Implications [PDF]
, 2020 Combining symbolic and neural approaches has gained considerable attention in the AI community, as it is often argued that the strengths and weaknesses of these approaches are complementary. One such trend in the literature are weakly supervised learning
Krieken, Emile van; id_orcid +2 more
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Iraqi Journal for Computer Science and Mathematics, 2022 This research analyses the correlation that exists between fuzzy T-ABSO and fuzzy socle. To answer this question, we define a new concept called, fuzzy socle T-ABSO submodules. Results showed many properties that satisfied the new notion.
Saad Saleem, Hatam Y. Khalaf
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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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