Issue:A study on intuitionistic fuzzy topological spaces

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Title of paper: A study on intuitionistic fuzzy topological spaces Author(s): Tapas Kumar Mondal Department of Mathematics, Kurseong College, Kurseong, West Bengal, India S. K. Samanta Department of Mathematics, Visva Bharati, Santiniketan-731235, West Bengal, India syamal_123@yahoo.co.in Published in: "Notes on IFS", Volume 9 (2003) Number 1, pages 1-32 Download:  PDF (305  Kb, File info) Abstract: In this paper we introduce concepts of intuitionistic fuzzy gradation of bases and subbases of intuitionistic gradation of openness. We introduce intuitionistic gradation of neighbourhoodness, q-neighbourhoodness, intuitionistic fuzzy closure operator and intuitionistic fuzzy interior operator and their properties. Keywords: Fuzzy topology, Fuzzy topological space, Intuitionistic gradation of openness, Intuitionistic gradation of closedness, Intuitionistic fuzzy sets, Intuitionistic fuzzy topological space, Intuitionistic fuzzy closure operator, Intuitionistic fuzzy interior operator References: K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1) (1986) 87-96. K. T. Atanassov, New operators defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (2) (1993) 131-142. K. T. Atanasso, G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (3) (1989) 343-349. K. T. Atanassov, S. Stoeva, Intuitionistic fuzzy sets. Proc. of Polish Symp. on Interval and Fuzzy Mathematics, Poznan, August 1983, p. 23-26 P. Burillo, H. Bustince, Two operators on interval-valued intuitionistic fuzzy sets: Part 2. C.R. Acad. Bulg. Sci. 48(1)(1995) 17-20. H. Bustince, P. Burillo, Correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems 74 (1995) 237-244 C.L.Chang, Fuzzy Topological Spaces. J. Math. Anal. Appl. 24 (1968) 182-190 K.C. Chattopadhyay, R.N.Hazra, S.K.Samanta. Gradation of openness: Fuzzy topology. Fuzzy Sets and Systems 49 (1992) 237-242 K.C. Chattopadhyay, S.K.Samanta. Fuzzy closure operator, fuzzy compactness and fuzzy compactedness. Fuzzy Sets and Systems 54 (1993) 207-212 D.Çoker, M. Demirci. An introduction to intuitionistic fuzzy topological spaces in Sostak's sense. BUSEFAL 67 (1996) 67-76. M. Demirci. Neighbourhood structures of smooth topological spaces. Fuzzy sets and systems 92 (1997) 123-128 U. Hohle. Upper semicontinuous fuzzy sets and applications. J. Math. Anal. Appl. 78 (1980) 659-673. Pu Pao-Ming and Liu Ying Ming. Fuzzy topology. I. Neighbourhood structure of a fuzzy point and Moor-Smith convergence. J. Math. Anal. Appl. 78 (1980) 571-599. W. Peeters. Subspaces of smooth fuzzy structures. Fuzzy sets and systems 104 (1999) 423-433. A.A.Ramadan. Smooth topological spaces. Fuzzy sets and systems 48 (1992) 371-375. S.K. Samanta, T.K. Mondal. On intuitionistic gradation of openness. Fuzzy sets and systems 131 (2002) 323-336. A. Sostak. On a fuzzy topological structure. Rend. Circ. Mat. Palermo: Supple. Ser. II (1985) 89-103. Citations: Issue:Intuitionistic fuzzy dimension of an intuitionistic fuzzy vector space ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.