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On Fuzzy Propositional Logic with Different Negations
2013Pan pointed out that there are three kinds of different negations: contradictory negation, opposite negation and medium negation. He also proposed the novel fuzzy set FScom with the above three kinds of negations, followed by one improved fuzzy set IFScom that is established based on FScom.
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Negation Functions in the Set of Discrete Fuzzy Numbers
2010The aim of this paper is to build a strong negation \(\mathcal{N}\) on the bounded distributive lattice, \(\mathcal{A}_1^{L}\), of discrete fuzzy numbers whose support is a subset of consecutive natural numbers of the finite chain L = {0,1, ⋯ ,m}, from the only negation on L. Moreover, we obtain the \(\mathcal{N}\)-dual t-norm(t-conorm) of a \(\mathcal{
Jaume Casasnovas, J. Vicente Riera
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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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On Intuitionistic fuzzy negations and law for Excluded Middle
2010 5th IEEE International Conference Intelligent Systems, 2010The basic intutionistic fuzzy negations are given and the relations between the negations and the Law for Excluded Middle are described.
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Moore Continuous n-Dimensional Interval Fuzzy Negations
2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2018n-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
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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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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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On the Intuitionistic Fuzzy Implications and Negations
2008Definitions of 174 intuitionistic fuzzy logic implications are introduced. Some of their properties are studied and some open problems, related to them are formulated.
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Fuzzy Degree and Similarity Measure of Fuzzy Set with Three Kinds of Negations
2011Negation in information processing is an important notion, especially in fuzzy information processing. How to cognize and deal with various negations of fuzzy information, a new fuzzy set FSCOM with contradictory negation, opposite negation and medium negation was presented in [1].
Lei Yang, Zhenghua Pan
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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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