Results 11 to 20 of about 1,227 (289)
An Algorithm for Producing Fuzzy Negations via Conical Sections [PDF]
Algorithms, 2019 In this paper we introduced a new class of strong negations, which were generated via conical sections. This paper focuses on the fact that simple mathematical and computational processes generate new strong fuzzy negations, through purely geometrical ...
Georgios Souliotis, Basil Papadopoulos
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Interval-valued contractive fuzzy negations [PDF]
International Conference on Fuzzy Systems, 2010 In this work we consider the concept of contractive interval-valued fuzzy negation, as a negation such that it does not increase the length or amplitude of an interval. We relate this to the concept of Lipschitz function. In particular, we prove that the
Humberto Bustince +9 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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Intuitionistic Type-2 Fuzzy Normed Linear Space and Some of Its Basic Properties
MathematicsAn intuitionistic fuzzy set is a more generalised tool than a fuzzy set for handling unpredictability as, in an intuitionistic fuzzy set, there is scope for considering a grade of non-membership, independent of the grade of membership, only satisfying ...
Amit Biswas +2 more
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General negations in fuzzy set theory
Journal of Mathematical Analysis and Applications, 1983 All possible negation operations which are optimal in some precise sense are fully described.
Ovchinnikov, S.V
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MathematicsThis paper comprehensively examines symmetric difference operators within logical systems generated by nilpotent t-norms and t-conorms, specifically addressing their behavior and applicability in bounded and Łukasiewicz fuzzy logic systems.
Luca Sára Pusztaházi +2 more
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Research on intuitionistic fuzzy negations [PDF]
Notes on Intuitionistic Fuzzy Sets, 2021 In the theories of intuitionistic fuzzy sets and intuitionistic fuzzy logics, there are 54 different negations. Here, we check the relationship between every two of them.
Nora Angelova, Krassimir Atanassov
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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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On Fuzzy Negations and Laws of Contraposition. Lattice of Fuzzy Negations
Formalized Mathematics, 2023 Summary This the next article in the series formalizing the book of Baczyński and Jayaram “Fuzzy Implications”. We define the laws of contraposition connected with various fuzzy negations, and in order to make the cluster registration mechanism fully working, we construct some more non-classical examples of fuzzy implications. Finally,
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The Law of Excluded Middle and the Negation of it in many-valued and Fuzzy Logics [PDF]
حکمت و فلسفه, 2008 The philosophical critiques, in twentieth century, on binary paradigm caused the negation of the law of excluded middle as the same as it caused the establishment of many-valued logics and fuzzy logic, while the laws of excluded middle, identity and ...
morteza haj hoseyni
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