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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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Invariant Fuzzy Implications [PDF]
Soft Computing, 2005 Invariant binary operations on [0,1] are those that remain unchanged under an increasing transformation \(\varphi\) of [0,1], that is, \[ F_\varphi(x,y)=\varphi^{-1}(F(\varphi(x),\varphi(y)) = F(x,y) \] for \(x\) and \(y\) in \([0,1]\). In this paper, the author studies invariant fuzzy implications, and derives that there are exactly 18 such operations,
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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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On the first place antitonicity in QL-implications [PDF]
, 2008 To obtain a demanded fuzzy implication in fuzzy systems, a number of desired properties have been proposed, among which the first place antitonicity, the second place isotonicity and the boundary conditions are the most important ones.
Shi, Yun +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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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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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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The ⊛-composition of fuzzy implications: Closures with respect to properties, powers and families [PDF]
, 2015 Recently, Vemuri and Jayaram proposed a novel method of generating fuzzy implications from a given pair of fuzzy implications. Viewing this as a binary operation ⊛ on the set II of fuzzy implications they obtained, for the first time, a monoid structure (
Jayaram, Balasubramaniam, Vemuri, N R
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Journal of Engineering and Applied Science, 2023 In this research, fuzzy linear regression (FLR) method combined with three well-known fuzzy implications was implemented for evaluating the relation among the amount of fly ash in concrete mixture and the compressive strength of concrete.
Fani Gkountakou, Basil Papadopoulos
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An Application of Classical Logic’s Laws in Formulas of Fuzzy Implications
Journal of Mathematics, 2020 The crucial role that fuzzy implications play in many applicable areas was our motivation to revisit the topic of them. In this paper, we apply classical logic’s laws such as De Morgan’s laws and the classical law of double negation in known formulas of ...
Dimitrios S. Grammatikopoulos +1 more
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