Results 151 to 160 of about 255 (177)
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Quintuple Implication Principle on Intuitionistic Fuzzy Sets
Communications in Computer and Information Science, 2022Shui-Ling Zeng, Li-Xiang Lei
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2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2015
In present paper, we devote to present a generic approach to the intuitionistic fuzzy soft sets. Firstly, we obtain a broad family of soft intuitionistic fuzzy rough sets, where (ℇ, F)-soft intuitionistic fuzzy rough set is constructed by a pair of intuitionistic implicators (ℇ, F). Then, we prove that (ℇ, F)-soft intuitionistic fuzzy rough sets in our
Wenkai Shao, Yabin Shao
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In present paper, we devote to present a generic approach to the intuitionistic fuzzy soft sets. Firstly, we obtain a broad family of soft intuitionistic fuzzy rough sets, where (ℇ, F)-soft intuitionistic fuzzy rough set is constructed by a pair of intuitionistic implicators (ℇ, F). Then, we prove that (ℇ, F)-soft intuitionistic fuzzy rough sets in our
Wenkai Shao, Yabin Shao
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Intuitionistic Fuzzy Rough Sets Determined by Intuitionistic Fuzzy Implicators
2010 IEEE International Conference on Granular Computing, 2010The primitive notions in rough set theory are lower and upper approximation operators defined by a fixed binary relation and satisfy many interesting properties. Many types of generalized rough set models have been developed in the literature. This paper investigates intuitionistic fuzzy rough sets resulted from approximations of intuitionistic fuzzy ...
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2013
In this paper, dual intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy implication operator ${\mathcal I}$ in infinite universes of discourse are investigated. Lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space in infinite universes of ...
Wei-Zhi Wu 0001 +3 more
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In this paper, dual intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy implication operator ${\mathcal I}$ in infinite universes of discourse are investigated. Lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space in infinite universes of ...
Wei-Zhi Wu 0001 +3 more
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INTUITIONISTIC FUZZY IMPLICATION OPERATORS — AN EXPRESSION AND MAIN PROPERTIES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004In this paper we present the definition and properties of intuitionistic fuzzy implication operators. We study the expression obtained from said operators when fuzzy implication and coimplication operators are applied to different aggregations of degrees of truth and non-truth of the propositions.
Humberto Bustince Sola +2 more
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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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REMARKS ON THE CONJUNCTIONS, DISJUNCTIONS AND IMPLICATIONS OF THE INTUITIONISTIC FUZZY LOGIC
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001Modifications of the intuitionistic fuzzy logic operations "conjunction", "disjunction" and "implications" are defined and some of their properties, and the relations among them are discussed.
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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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