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Fuzzy Sets and Systems, 2010
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2012
FLcom is a fuzzy propositional logic with contradictory negation, opposite negation and medium negation which corresponds to fuzzy set FScom. Based on theories of FLcom, this paper took a financial decision making for example, adopted Distance Ratio Function to give an evaluation to fuzzy propositional, gave a method to ascertain value of ( in the ...
Shanshan Wang, Zhenghua Pan, Lei Yang
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FLcom is a fuzzy propositional logic with contradictory negation, opposite negation and medium negation which corresponds to fuzzy set FScom. Based on theories of FLcom, this paper took a financial decision making for example, adopted Distance Ratio Function to give an evaluation to fuzzy propositional, gave a method to ascertain value of ( in the ...
Shanshan Wang, Zhenghua Pan, Lei Yang
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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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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]).
Ivan Mezzomo +4 more
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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
Ladislav J Kohout
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New types of contrapositivisation of fuzzy implications with respect to fuzzy negations
Information Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isabel Aguiló +2 more
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International Journal of Approximate Reasoning, 2020
In traditional logic, every statement is either true or false. In real life, people are often not certain about their statements. Zadeh proposed to describe different degrees of certainty by numbers from the interval \([0,1]\); this is one of the main ideas behind \textit{fuzzy logic}.
Annaxsuel A. de Lima +2 more
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In traditional logic, every statement is either true or false. In real life, people are often not certain about their statements. Zadeh proposed to describe different degrees of certainty by numbers from the interval \([0,1]\); this is one of the main ideas behind \textit{fuzzy logic}.
Annaxsuel A. de Lima +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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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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