Results 11 to 20 of about 199,571 (343)
Generator of Fuzzy Implications
Algorithms, 2023 In this research paper, a generator of fuzzy methods based on theorems and axioms of fuzzy logic is derived, analyzed and applied. The family presented generates fuzzy implications according to the value of a selected parameter.
Athina Daniilidou +3 more
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Invariant Fuzzy Implications [PDF]
Soft Computing, 2006 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,
Józef Drewniak
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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 Bedregal +2 more
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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.
Shamil A. Ahmadov
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Innovative Methods of Constructing Strict and Strong Fuzzy Negations, Fuzzy Implications and New Classes of Copulas [PDF]
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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An Algorithm for Producing Fuzzy Implications via Conical Sections
AlgorithmsIn the present study, a novel parametric family of fuzzy implications is introduced and its properties are examined. The parametric family of implications is produced only via a fuzzy negation.
Ioannis Karampinis +3 more
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The behavior of fuzzy implications in a fuzzy knowledge base. [PDF]
, 1997 More and more companies today discover the advantages of using knowledge bases for their processes and services. Recently, fuzzy set theory has also captured the attention due to good performances within control systems.
Van Brecht, J, Vanthienen, Jan, Wets, G
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Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras
Mathematics, 2022 General overlap functions are generalized on the basis of overlap functions, which have better application effects in classification problems, and the (weak) inflationary BL-algebras as the related algebraic structure were also studied.
Rong Liang, Xiaohong Zhang
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Generalization of Fuzzy Connectives
Axioms, 2022 This paper is centered around the creation of new fuzzy connectives using automorphism functions. The fuzzy connectives theory has been implemented in many problems and fields.
Stefanos Makariadis, Basil Papadopoulos
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Developing Constrained Interval Operators for Fuzzy Logic with Interval Values
Axioms, 2023 A well-known problem in the interval analysis literature is the overestimation and loss of information. In this article, we define new interval operators, called constrained interval operators, that preserve information and mitigate overestimation. These
Jocivania Pinheiro +3 more
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