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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]).
Ivan Mezzomo   +4 more
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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, Basil Papadopoulos
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On interval fuzzy negations

Fuzzy Sets and Systems, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Negations on type-2 fuzzy sets

Fuzzy Sets and Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hernández, Pablo   +2 more
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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.
Benjamin Bedregal   +4 more
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Moore Continuous n-Dimensional Interval Fuzzy Negations

2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2018
n-dimensional fuzzy sets are an generalizing some extensions of fuzzy sets, such as, interval-valued fuzzy sets, interval-valued Atanassov intuitionistic fuzzy sets and fuzzy mul-tisets, where the membership values are n-truples of real numbers in the unit interval [0, 1] ordered in increasing order, called n-dimensional intervals.
Ivan Mezzomo   +2 more
openaire   +1 more source

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.
Bosc, Patrick, Pivert, Olivier
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On antonym and negate in fuzzy logic

International Journal of Intelligent Systems, 1999
The paper analyses the antonyms in natural language and the possibility to model their meaning using fuzzy set theory. The presentation is extensional, when the meaning of words of natural language is modeled using fuzzy sets being functions on some universe. A specific case is supposed when the universe is formed by an interval of real numbers.
de Soto, Adolfo R., Trillas, Enric
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Short Note: Some Hints on Fuzzy Logic’s Negation Functions

New Mathematics and Natural Computation, 2019
This paper deals with how non-strong linguistic negations can be represented in Fuzzy Logic by means of Negation Functions. Even if the problem is not closed, the impossibility of representing by exhaustive Negation Functions those that are either weak, or intuitionistic, is proved. A hint on how to continue the study is presented.
Alsina, Claudi, Trillas, Enric
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Non-commutative fuzzy structures and pairs of weak negations

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georgescu, George, Popescu, Andrei
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