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Fuzzy logics with an additional involutive negation
Fuzzy Sets and Systems, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cintula, P. (Petr) +3 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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Constructing implication functions from fuzzy negations
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology, 2013 A class of implication functions is constructed from fuzzy negations. The interest of this new class lies in its simplicity and in the fact that when N is Idsymmetrical, the corresponding implication agrees with the residuum of a commutative semicopula.
Torrens Joan, Suner Jaume, Aguilo Isabel
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An Overview of Fuzzy Implication and Its Generalizations
MathematicsFuzzy implication operators are vital in the modeling of uncertain reasoning, particularly in approximate reasoning and fuzzy inference systems. The objective of this survey is to provide a structured and comprehensive overview of fuzzy implication ...
Muhammad Gulzar +2 more
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On Equivalence Operators Derived from Overlap and Grouping Functions
AxiomsThis paper introduces the concept of equivalence operators based on overlap and grouping functions where the associativity property is not strongly required.
Lei Du +3 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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Ordinal Sums of Fuzzy Negations: Main Classes and Natural Negations
, 2019 In the context of fuzzy logic, ordinal sums provide a method for constructing new functions from existing functions, which can be triangular norms, triangular conorms, fuzzy negations, copulas, overlaps, uninorms, fuzzy implications, among others. As our main contribution, we establish conditions for the ordinal sum of a family of fuzzy negations to be
de Lima, Annaxsuel A. +2 more
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Fuzzy implication functions constructed from general overlap functions and fuzzy negations
, 2021 Fuzzy implication functions have been widely investigated, both in theoretical and practical fields. The aim of this work is to continue previous works related to fuzzy implications constructed by means of non necessarily associative aggregation functions.
Pinheiro, Jocivania +5 more
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Residuated fuzzy logics with an involutive negation
Archive for Mathematical Logic, 2000 Residuated fuzzy logic calculi are related to continuous t-norms, which are used as truth functions for conjunction, and their residua as truth functions for implication. In these logics, a negation is also definable from the implication and the truth constant 0̄, namely ¬φ is φ → 0̄.
Esteva, Francesc +3 more
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