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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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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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Interval Valued Versions of T-Conorms, Fuzzy Negations and Fuzzy Implications
2006 IEEE International Conference on Fuzzy Systems, 2006There 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.
B.C. Bedregal, A. Takahashi
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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 S. Farias +4 more
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Relative negations in non-commutative fuzzy structures
Soft Computing, 2013The author defines relative involutive FL-algebras by generalizing some her previous results [\textit{L. C. Ciungu}, An. Univ. Craiova, Ser. Mat. Inf. 37, No. 1, 19--26 (2010; Zbl 1212.06046)] to relative negations, the relative generalized states are also investigated.
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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.
Aguiló, I., Suñer, J., Torrens, J.
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Typical Hesitant Fuzzy Negations
International Journal of Intelligent Systems, 2014Benjamin Bedregal +4 more
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Antonyms. Negation, and the Fuzzy Case
2017Can an adult person recognize with the naked eye that John is tall, but not, simultaneously, that Peter is short? It depends, obviously, on the (ostensible) height of both John and Peter, and from what it contextually can mean to be, respectively, a tall and a short person, that is, of perceptively capturing the meanings of these two words when applied
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Fuzzy set with three kinds of negations in fuzzy knowledge processing
2010 International Conference on Machine Learning and Cybernetics, 2010In this paper, the negative relation in fuzzy information is distinguished contradictory negative relation and opposite negative relation, and a character of fuzzy information is discovered that if two opposite concepts are fuzzy concepts, there must exist a “medium” fuzzy concept between them, vice versa.
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Negation of Fuzzy-Linguistic Concepts in Hierarchical Domains
2016 Third European Network Intelligence Conference (ENIC), 2016The great part of fuzzy-linguistic research assumes the fuzzy complement as a good candidate for representing the meaning of negation. However, linguistic studies show that both acquisition and use of negation are way more complex than that. After reconsidering a way in which the negation is used in the natural language discourse, this paper focuses on
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