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Fuzzy Implications Generating from Fuzzy Negations

2018
A 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
openaire   +2 more sources

Interval Negation in Fuzzy Logics

NAFIPS 2007 - 2007 Annual Meeting of the North American Fuzzy Information Processing Society, 2007
This 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
openaire   +1 more source

On n-Dimensional Strict Fuzzy Negations

2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016
n-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
exaly   +2 more sources

Atanassov’s Intuitionistic Contractive Fuzzy Negations

2010
In 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
openaire   +2 more sources

On the negation of bipolar fuzzy conditions

2011 Annual Meeting of the North American Fuzzy Information Processing Society, 2011
This 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
openaire   +1 more source

A Construction Method of Semicopulas From Fuzzy Negations

Fuzzy Sets and Systems, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joan Torrens, I Aguilo, J Suñer
exaly   +4 more sources

General Negations for Residuated Fuzzy Logics

2014
Involutive 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
openaire   +1 more source

Fuzzy Negation and Other Weak Fuzzy Connectives

2012
This 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.
openaire   +2 more sources

Fuzzy Bi-implications Generated by t-norms and Fuzzy Negations

2019
In 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
openaire   +2 more sources

Interval Valued Versions of T-Conorms, Fuzzy Negations and Fuzzy Implications

2006 IEEE International Conference on Fuzzy Systems, 2006
There exists infinitely many way to extend the classical prepositional connectives to the set [0,1] such that the behavior in their extremes are as in the classical logic. Still, is a consensus that it is not sufficient, demanding that these extensions also preserves some logical properties of the classical connectives.
Benjamín R. C. Bedregal   +1 more
openaire   +2 more sources

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