Results 131 to 140 of about 216 (161)
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Fuzzy connectedness in intuitionistic fuzzy topological spaces
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Necla Turanli, Dogan Çoker
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An introduction to intuitionistic fuzzy topological spaces
Fuzzy Sets and Systems, 1997The author gives the fundamentals of the theory of intuitionistic fuzzy topological spaces and precisely the concepts of compactness, connectedness and Hausdorffness. Several characterizations are given supported by suitable examples.
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Nets and filters in intuitionistic fuzzy topological spaces
Information Sciences, 2006In this note the author introduces the notions of nets and filters in the sense of intuitionistic fuzzy sets. An intuitionistic fuzzy set is regarded as a pair of membership and non-membership functions \(\langle\mu_A(x), \gamma_A(x)\rangle\) for any \(x\) in \({\mathbf X}\) and \(\mu_A:{\mathbf X}\to [0,1]\), \(\gamma_A:{\mathbf X}\to [0,1]\), where \(
FRANCISCO Gallego Lupiañez
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Topology of interval-valued intuitionistic fuzzy sets
Fuzzy Sets and Systems, 2001The concept of interval-valued intuitionistic fuzzy set (IVIFS) was introduced by the reviewer and \textit{G. Gargov} [Fuzzy Sets Syst. 31, No. 3, 343-349 (1989; Zbl 0674.03017)]. In the present paper one of the possible topologies over IVIFSs is defined and some of its properties are studied.
S K Samanta
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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 ...
Jiyi Wang
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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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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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