Results 161 to 170 of about 304 (188)
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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 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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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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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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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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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 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 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 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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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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