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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.
Turanli, NECLA, COKER, DOĞAN
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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.
Seok Jong Lee, Sang Min Yun
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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.
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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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Intuitionistic fuzzy topological operators and topology
The introduction of intuitionistic fuzzy sets is due to K.T. Atanassov who, also, defined various topological operators for these sets. D. Çoker defined the intuitionistic fuzzy topological spaces. In this paper we show relations between Atanassov’s topological operators and Çoker's intuitionistic fuzzy topology.
Gallego Lupiáñez, Francisco
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