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Constructive methods for intuitionistic fuzzy implication operators
Soft Computing, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yiying Shi, Xuehai Yuan, Yuchun Zhang
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On Some Intuitionistic Properties of Intuitionistic Fuzzy Implications and Negations
2006V (x) = 〈a, b〉, (1) so that a, b, a+ b ∈ [0, 1], where a and b are degrees of validity and of nonvalidity of x. For simplicity of presentation we shall use the following three variables x, y and z with their corresponding truth values: V (x) = 〈a, b〉, V (y) = 〈c, d〉, V (z) = 〈e, f〉 (a, b, c, d, e, f, a+ b, c+d, e+f ∈ [0, 1]).
Trifon A. Trifonov +1 more
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Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms
2015During years of research, there have been defined 149 intuitionistic fuzzy implications. In the paper, it is checked which of these implications satisfy Klir-Yuan’s axioms, whether as (classical) tautologies or as intuitionistic fuzzy tautologies.
Nora A. Angelova, Krassimir T. Atanassov
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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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On the New Class of Intuitionistic Fuzzy Implications
2020In the paper a new class of parametric intuitionistic fuzzy implications is introduced. Fulfillment of some properties, together with Modus Ponens and Modus Tollens inference rules, are investigated. Negation induced by implication is presented.
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Intuitionistic fuzzy filter of lattice implication algebras
2005 International Conference on Machine Learning and Cybernetics, 2005In the paper, the concept of intuitionistic fuzzy filter in lattice implication algebras is introduced, and its properties are discussed. The relation between intuitionistic fuzzy filter and intuitionistic fuzzy lattice filter is shown, the equivalent conditions of intuitionistic fuzzy filter are obtained, these lay a theory foundation for more ...
null Hai-Ming Li +3 more
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2012
The interval-valued intuitionistic fuzzy implications which are generated from interval-valued fuzzy implications and coimplications and from K-operators are introduced, extending the main properties of fuzzy implication and exploring the class of interval-valued intuitionistic S-implications.
Renata Hax Sander Reiser +3 more
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The interval-valued intuitionistic fuzzy implications which are generated from interval-valued fuzzy implications and coimplications and from K-operators are introduced, extending the main properties of fuzzy implication and exploring the class of interval-valued intuitionistic S-implications.
Renata Hax Sander Reiser +3 more
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Quintuple Implication Principle on Intuitionistic Fuzzy Sets
2022Shui-Ling Zeng, Li-Xiang Lei
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A Note on Intuitionistic Fuzzy Implicative UP-Filters
ICIC Express Letters, Part B: Applications, 2023Khamrot, Pannawit +5 more
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Interval-Valued Intuitionistic Fuzzy Implications – Construction, Properties and Representability
Information Sciences, 2013Renata Reiser, Benjamin Bedregal
exaly