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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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Algorithms, 2020 In this paper, we develop a novel computation model of Intuitionistic Fuzzy Values with the usage of fuzzy negations and Archimedean copulas. This novel computation model’s structure is based on the extension of the existing operations of intuitionistic ...
Stylianos Giakoumakis +1 more
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A Method of Generating Fuzzy Implications from n Increasing Functions and n + 1 Negations
Mathematics, 2020 In this paper, we introduce a new construction method of a fuzzy implication from n increasing functions g i : [ 0 , 1 ] → [ 0 , ∞ ) , ( g ( 0 ) = 0 ) ( i = 1 , 2 , … , n , n ∈ ℕ ) and n + 1 fuzzy negations
Maria N. Rapti, Basil K. Papadopoulos
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Fuzzy implications based on strong negations [PDF]
Contributions to Mathematics, 2021 Anestis G. Hatzimichailidis +2 more
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On Neutrosophic Vague Binary BZMZ^dM Sub-algebra of BZMZ^dM-algebra in Neutrosophic Vague Binary Sets [PDF]
Neutrosophic Sets and Systems, 2021 In Model theory, common algebraic structures found are Lattices and Boolean Algebras. In the broad field of research, various algebraic structures can be introduced for a set. BCK, BCI, BCH, BH etc. are some of them.
P. B. Remya, A. Francina Shalini
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Contracting and Involutive Negations of Probability Distributions
Mathematics, 2021 A dozen papers have considered the concept of negation of probability distributions (pd) introduced by Yager. Usually, such negations are generated point-by-point by functions defined on a set of probability values and called here negators.
Ildar Z. Batyrshin
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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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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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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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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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