Results 111 to 120 of about 192 (148)
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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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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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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
null Wenkai Shao, null 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
null Wenkai Shao, null Yabin Shao
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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.
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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.
Jin, Jianhua +2 more
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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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Constructive methods for intuitionistic fuzzy implication operators
Soft Computing, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Yiying, Yuan, Xuehai, Zhang, Yuchun
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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 +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 +3 more
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2015
The central issue of inference validity, that guarantees the correctness of reasoning and thus that of derived knowledge, depends on the definition of both implication operator and tautology. This paper studies the modus ponens validity in the case of Intuitionistic Fuzzy logic, in an experimental framework: considering 18 classical implication ...
Detyniecki, Marcin +2 more
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The central issue of inference validity, that guarantees the correctness of reasoning and thus that of derived knowledge, depends on the definition of both implication operator and tautology. This paper studies the modus ponens validity in the case of Intuitionistic Fuzzy logic, in an experimental framework: considering 18 classical implication ...
Detyniecki, Marcin +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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