Results 141 to 150 of about 3,807 (183)
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Intuitionistic Fuzzy Approximations and Intuitionistic Fuzzy Sigma-Algebras
2008In this paper, concepts of intuitionistic fuzzy measurable spaces and intuitionistic fuzzy σ-algebras are first introduced. Relationships between intuitionistic fuzzy rough approximations and intuitionistic fuzzy measurable spaces are then discussed. It is proved that the family of all intuitionistic fuzzy definable sets induced from an intuitionistic ...
Wei-Zhi Wu 0001, Lei Zhou
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Intuitionistic Fuzziness and Modality
2020 IEEE 10th International Conference on Intelligent Systems (IS), 2020Ever since the first publication over intuitionistic fuzzinsess, the two standard modal operators "necessity" ( □ ) and "possibility" (◊) are introduced over intuitionistic fuzzy sets. In the years, these two operators are object of a lot of extensions and modifications.
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Intuitionistic Fuzzy Topologies Induced by Intuitionistic Fuzzy Approximation Spaces
International Journal of Fuzzy Systems, 2016In this paper, we obtain some basic results of intuitionistic fuzzy topological spaces induced by given intuitionistic fuzzy approximation spaces. In addition, we introduce the concept of pseudo-constant intuitionistic fuzzy relation, and obtain topological structures of an intuitionistic fuzzy approximation space by using them.
Sang Min Yun, Seok Jong Lee
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Intuitionistic Fuzzy Approximation Spaces Induced by Intuitionistic Fuzzy Topologies
2016 Joint 8th International Conference on Soft Computing and Intelligent Systems (SCIS) and 17th International Symposium on Advanced Intelligent Systems (ISIS), 2016We investigate intuitionistic fuzzy approximation spaces induced by intuitionistic fuzzy topologies, and prove that there exists a one-to-one correspondence between the set of all preordered intuitionistic fuzzy relations and the set of all intuitionistic fuzzy topologies satisfying appropriate condition.
Sang Min Yun, Seok-Jong Lee
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Approximation of intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2017The notation of extended intuitionistic fuzzy number is introduced and the representation of the weighted extended trapezoidal intuitionistic approximation of an intuitionistic fuzzy number is given in this paper. The problem related to aggregation is addressed about approximating the given intuitionistic fuzzy numbers or aggregating the given ...
Shuyang Li +2 more
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Intuitionistic Fuzzy Probability
2010Fuzzy Probabilities are an extension of the concept of probabilities with application in several practical problems. The former are probabilities represented through fuzzy numbers, to indicate the uncertainty in the value assigned to a probability. Moreover, Krassimir Atanassov in 1983 added an extra degree of uncertainty to classic fuzzy sets for ...
Claudilene Gomes da Costa +2 more
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Intuitionistic Fuzzy N-Compactness by Intuitionistic Fuzzy Nets
Journal of Discrete Mathematical Sciences and Cryptography, 2016AbstractIn this paper, we introduce the notion of R-neighbourhood of an intuitionistic fuzzy point to investigate the compactness by intuitionistic fuzzy nets for arbitrary intuitionistic fuzzy sets and we discuss a series of properties.
N. Pankajam, A. Pushpalatha
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On intuitionistic fuzzy compactness
Information Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Information Sciences, 2007
Semiprime intuitionistic fuzzy ideals of a commutative ring \(R\) are described. The results obtained are used for the characterization of intuitionistic nil radicals of \(R\).
Young Bae Jun +2 more
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Semiprime intuitionistic fuzzy ideals of a commutative ring \(R\) are described. The results obtained are used for the characterization of intuitionistic nil radicals of \(R\).
Young Bae Jun +2 more
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Fuzzy entropy on intuitionistic fuzzy sets
International Journal of Intelligent Systems, 2006In this article we exploit the concept of probability for defining the fuzzy entropy of intuitionistic fuzzy sets (IFSs). We then propose two families of entropy measures for IFSs and also construct the axiom definition and properties. Two definitions of entropy for IFSs proposed by Burillo and Bustince in 1996 and Szmidt and Kacprzyk in 2001 are used.
Wen-Liang Hung, Miin-Shen Yang
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