Results 171 to 180 of about 717,911 (193)
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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 Automata and Associated Fuzzy Topologies
2007 International Conference on Computing: Theory and Applications (ICCTA'07), 2007It is shown that two intuitionistic fuzzy topologies can be associated with an intuitionistic fuzzy automata which have interesting relationships with of the two fuzzy topologies, induced by the above the topologies introduced in (A.K.
Arun K. Srivastava, S. P. Tiwari
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On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations
Soft Computing, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei-Zhi Wu 0001, Lei Zhou
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On the Intuitionistic Fuzzy Topological Structures of Rough Intuitionistic Fuzzy Sets
2014A rough intuitionistic fuzzy set is the result of approximation of an intuitionistic fuzzy set with respect to a crisp approximation space. In this paper, we investigate topological structures of rough intuitionistic fuzzy sets. We first show that a reflexive crisp rough approximation space can induce an intuitionistic fuzzy Alexandrov space.
You-Hong Xu +2 more
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On intuitionistic fuzzy topological spaces
Kybernetes, 2006PurposeIn 2000, Wang and He published an important result on the theory of intuitionistic fuzzy sets (IFSs). Indeed, they showed that every IFS may be regarded as an L‐fuzzy set for some appropriate lattice L. This paper aims to show that, nevertheless, the results obtained by various authors on intuitionistic fuzzy topological spaces (IFTSs), are not ...
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On the topological properties of intuitionistic fuzzy rough sets
2009 IEEE International Conference on Granular Computing, 2009This paper is devoted to the discussion of the relationship between intuitionistic fuzzy rough set models and intuitionistic fuzzy topologies on a finite universe. The IFT Condition for intuitionistic fuzzy topology is proposed. It is proved that the set of all lower approximation sets based on a reflexive and transitive intuitionsitic fuzzy relation ...
Renbing Lin, Jiyi Wang
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Intuitionistic Fuzzy Topologies in Crisp Approximation Spaces
2012A rough intuitionistic fuzzy set is the result of approximation of an intuitionistic fuzzy set with respect to a crisp approximation space. In this paper, we investigate topological structures of rough intuitionistic fuzzy sets. We examine that a reflexive crisp rough approximation space can induce an intuitionistic fuzzy Alexandrov space. It is proved
You-Hong Xu, Wei-Zhi Wu 0001
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On intuitionistic fuzzy rough sets and their topological structures
International Journal of General Systems, 2009In this paper, lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined. Properties of intuitionistic fuzzy approximation operators are examined. Relationships between intuitionistic fuzzy rough set approximations and intuitionistic fuzzy topologies are then discussed.
Lei Zhou, Wei-Zhi Wu 0001, Wen-Xiu Zhang
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Intuitionistic Fuzzy Weakly Contra Open Mappings in Intuitionistic Fuzzy Topological Spaces
Asian Journal of Research in Social Sciences and Humanities, 2016In this paper, we introduce intuitionistic fuzzy weakly contra open mappings in intuitionistic fuzzy topological spaces. We study some of their properties and obtain their characterizations. Relationship between this new class and other classes of functions are established in intuitionistic fuzzy topological spaces.
A. Manimaran, K. Arun Prakash
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On fuzzy continuity in intuitionistic fuzzy topological spaces
1997This paper continues the study of intuitionistic fuzzy set theory as initiated by K. Atanassov in 1983 and more precisely of intuitionistic topological spaces as introduced by D. Çoker. Some supplementary properties of Azad's notion of intuitionistic fuzzy semiopen and semiclosed sets are given.
EŞ, ALİ HAYDAR +2 more
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