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International Journal of Approximate Reasoning, 1987 In order to build expert systems and other human-behaviour-like systems one needs reasoning schemes that are richer than the classical two-valued logic. This paper starts with a linguistic justification that intermediate degrees of truth are needed. Up to an isomorphism the unit interval [0,1] with its natural order is taken as the domain of possible ...
Philippe Smets
exaly +3 more sources
Properties of fuzzy implication operators
International Journal of Approximate Reasoning, 1987 AbstractIn this paper we discuss both forward implication and backward implication, and the difference between them is defined. We introduce some properties of fuzzy implication operators, and show the expectation, the variance, and the distribution of each fuzzy implication operator, assuming that the two propositions in a given compound proposition ...
Wyllis Bandler
exaly +3 more sources
A new intuitionistic fuzzy implication and the negation, conjunctions and disjunctions generated by it [PDF]
Notes on IFS, 2023 A new – the 207-th – intuitionistic fuzzy implication is introduced over intuitionistic fuzzy sets. Over its basis, new intuitionistic fuzzy negation, conjunctions and disjunctions are constructed.
Lilija Atanassova
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On an Intuitionistic Fuzzy Form of the Goguen’s Implication
Mathematics, 2021 In the present paper we construct a new intuitionistic fuzzy implication, giving intuitionistic fuzzy form to Goguen’s implication. Some of its basic properties are studied and illustrated with examples. Geometrical interpretations of the different forms
Krassimir Atanassov +2 more
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Third Zadeh’s Intuitionistic Fuzzy Implication
Mathematics, 2021 George Klir and Bo Yuan named after Lotfi Zadeh the implication p→q=max(1−p,min(p,q)) (also Early Zadeh implication). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties ...
Krassimir Atanassov
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Generator of Fuzzy Implications
Algorithms, 2023 In this research paper an algorithm for the derivation of methods based on theorems and axioms of fuzzy logic is presented, analyzed and applied. This new proposed procedure generates fuzzy methods and evaluates the value of fuzzy propositions through fuzzy implication. The new implications of the family should satisfy a number of axioms.
Athina Daniilidou +3 more
openaire +2 more sources
Robustness of Interval-Valued Intuitionistic Fuzzy Reasoning Quintuple Implication Method
IEEE Access, 2022 The interval-valued intuitionistic fuzzy quintuple implication algorithm, as an extension of the fuzzy reasoning algorithm, may better characterize and deal with uncertainty in the reasoning, but how to select distance measure and analyze the algorithm ...
Shuiling Zeng +3 more
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Fuzzy Inference Full Implication Method Based on Single Valued Neutrosophic t-Representable t-Norm
Proceedings, 2022 As a generalization of intuitionistic fuzzy sets, single-valued neutrosophic sets have certain advantages for solving indeterminate and inconsistent information. In this paper, we study the fuzzy inference full implication method based on a single-valued
Minxia Luo, Donghui Xu, Lixian Wu
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A Study of Generalized QL′-Implications
Mathematics, 2022 In this paper, we introduce and study the GQL′-operations. We prove that this class is a hyper class of the known class of QL′-operations. Similar to QL′-operations, GQL′-operations are not always fuzzy implications.
Dimitrios S. Grammatikopoulos +1 more
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On Fuzzy Implications Derived from General Overlap Functions and Their Relation to Other Classes
Axioms, 2022 There are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap/grouping functions may be a better strategy ...
Jocivania Pinheiro +6 more
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