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Fuzzy Implications Generating from Fuzzy Negations
2018A basic building block in the foundation of fuzzy neural networks is the theory of fuzzy implications. Fuzzy implications play a crucial role in this topic. The aim of this paper is to find a new method of generating fuzzy implications. based on a given fuzzy negation.
Georgios Souliotis +1 more
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Interval Negation in Fuzzy Logics
NAFIPS 2007 - 2007 Annual Meeting of the North American Fuzzy Information Processing Society, 2007This paper continues investigation of systems of fuzzy interval logics based on the Checklist Paradigm semantics of Bandler and Kohout. The paper looks at the alternative negations that may appear in the interval system rti\. In the previous papers dealing with checklist paradigm based interval systems the 2ary connectives were the interval connectives
Eunjin Kim, Ladislav J. Kohout
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On n-Dimensional Strict Fuzzy Negations
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016n-dimensional fuzzy sets are an extension of fuzzy sets where the membership values are n-truples of real numbers in the unit interval [0, 1] ordered in increasing order, called n-dimensional intervals. The set of n-dimensional intervals is denoted by L n ([0, 1]).
Renata Reiser +2 more
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Atanassov’s Intuitionistic Contractive Fuzzy Negations
2010In this work we consider the concept of contractive Atanassov’s intuitionistic mapping. In particular, we show that with our definitions, the only strict (strong) contractive negation is the standard one.
Benjamín R. C. Bedregal +4 more
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On the negation of bipolar fuzzy conditions
2011 Annual Meeting of the North American Fuzzy Information Processing Society, 2011This paper deals with the negation operator in the context of a bipolar fuzzy relational algebra which makes it possible to handle bipolar fuzzy queries (involving flexible constraints and wishes) and relations. Several possible definitions of the negation are studied and assessed with respect to some desirable properties.
Patrick Bosc, Olivier Pivert
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A Construction Method of Semicopulas From Fuzzy Negations
Fuzzy Sets and Systems, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joan Torrens, I Aguilo, J Suñer
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General Negations for Residuated Fuzzy Logics
2014Involutive residuated negations are usually considered in residuated fuzzy logics and they are also based on continuous triangular norms. This paper introduces a generalization of these negations using flexible conjunctors, several properties of them and the corresponding disjunctive dual operators associated with the conjunctor.
María Eugenia Cornejo Piñero +2 more
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SymmetryIn this paper, we present two new classes of fuzzy negations. They are an extension of a well-known class of fuzzy negations, the Sugeno Class. We use it as a base for our work for the first two construction methods.
Basil K. Papadopoulos +2 more
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Fuzzy Negation and Other Weak Fuzzy Connectives
2012This paper deals with some dependencies between fuzzy negations and other fuzzy connectives. The generalized laws of contradiction and excluded middle are considered. Methods for generating fuzzy negation from fuzzy conjunction, disjunction or fuzzy implication together with another fuzzy negation are also presented.
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Fuzzy Bi-implications Generated by t-norms and Fuzzy Negations
2019In the literature, there are several forms of extensions of the classical bi-implication for the fuzzy logic, as for example, the axiomatization proposed by Fodor and Roubens [1]. Another way to obtain a generalization is to provide a definition based on the classical equivalence \(\phi \iff \psi \equiv (\phi \Rightarrow \psi )\wedge (\psi \Rightarrow \
Antonio Diego Silva Farias +4 more
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