Lupianez, Francisco (2003) Hausdorffness in intuitionistic fuzzy topological spaces. Mathware & Soft Computin, 10 (1). pp. 17-22. ISSN 1134-5632
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Abstract
The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. C¸ oker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, in particular on convergence.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Intuitionistic topology; Separation; Hausdorffness. |
| Subjects: | Sciences > Mathematics > Topology |
| ID Code: | 16233 |
| References: | K.T. Atanassov: Intuitionistic fuzzy sets, in VII ITKR's Session,Sofia (June 1983). K.T. Atanassov: Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20 (1986), 87-96 K.T. Atanassov: Review and new results on intuitionistic fuzzy sets, preprint IM-MFAIS-1-88, Sofia (1988). K.T. Atanassov: Intuitionistic fuzzy sets. Theory and applications,Springer-Verlag (Heidelberg, New York, 1999). D. Coker: An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets Syst. 88 (1997), 81-89. D. Coker: An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 4 (1996), 749-764. D. Coker and M. Demirci: On intuitionistic fuzzy points, Notes IFS 1,2 (1995), 79-84. D. Coker and A.H. Es: On fuzzy compactness in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 3 (1995), 899-909. A.H. Es and D. C» oker: More on fuzzy compactness in intuitionistic fuzzy topological spaces, Notes IFS 2,1 (1996), 4-10. H. GÄur»cay, D. Coker and A.H. E»s: On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378. N. Turanh and D. Coker: On some types of fuzzy connectedness in fuzzy topological spaces, Fuzzy Sets Syst. 60 (1993), 97-102. Seok Jong Lee and Eun Pyo Lee: The category of intuitionistic fuzzy topological spaces, Bull. Korean Math. Soc. 37 (2000), 63-76. F.G. Lupiañez: Nets and filters in intuitionistic fuzzy topological spaces, preprint. F.G. Lupianez: Covering properties in intuitionistic fuzzy topological spaces, preprint. R. Srivastava, S.N. Lal and A.K. Srivastava: Fuzzy Hausdorff topological spaces, J. Math. Anal. Appl 81(1981), 497-506. |
| Deposited On: | 10 Sep 2012 12:54 |
| Last Modified: | 10 Sep 2012 12:54 |
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