Results 151 to 160 of about 708,256 (181)
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Remarks on the Conjunctions, Disjunctions and Implications of the Intuitionistic Fuzzy Logic
International Journal of Uncertainty, Fuzziness and Knowlege-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.
Krassimir Atanassov
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On Eight New Intuitionistic Fuzzy Implications
2006 3rd International IEEE Conference Intelligent Systems, 2006In a series of papers intutionistic fuzzy variants of the most popular fuzzy implications and some specific intutionistic fuzzy implications are introduced and their properties are studied. These implications generate five different negations - one standard and four from an intuitionistic (in sense of L.E.J. Brouwer) type.
Krassimir Atanassov
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Quintuple Implication Principle on Interval-Valued Intuitionistic Fuzzy Sets
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Witold Pedrycz, Jianhua Jin
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On the Intuitionistic Fuzzy Implications and Negations. Part 1
Studies in Fuzziness and Soft Computing, 2010The paper contains review and new results related to the first 23 of the 138 already introduced by the author different intuitionistic fuzzy implications and the first 5 of the 36 different intuitionistic fuzzy negations. Some of their basic properties are studied.
Krassimir Atanassov
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International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, 2011 In this paper we introduce the concept of Generalized Atanassov's Intuitionistic Fuzzy Index. We characterize it in terms of fuzzy implication operators and propose a construction method with order automorphisms.
Edurne Barrenechea +2 more
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On characterization of intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators
Information Sciences, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lei Zhou, Wei-Zhi Wu 0001, Wen-Xiu Zhang
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Generalized intuitionistic fuzzy rough sets based on an intuitionistic fuzzy residual implicator
2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2013This paper presents a general study of generalized intuitionistic fuzzy rough sets integrating the rough set theory with the intuitionistic fuzzy set theory by a constructive approach. By employing an intuitionistic fuzzy residual implicator and its dual operator, generalized upper and lower intuitionistic fuzzy rough approximation operators with ...
Haidong Zhang, Yanping He
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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
openaire +2 more sources