Issue:Continuity of intuitionistic fuzzy proper functions on intuitionistic smooth fuzzy topological spaces

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Title of paper: Continuity of intuitionistic fuzzy proper functions on intuitionistic smooth fuzzy topological spaces Author(s): Rajakumar Roopkumar Department of Mathematics, Alagappa University, Karaikudi - 630 003, India roopkumarr@rediffmail.com C. Kalaivani Department of Mathematics, Alagappa University, Karaikudi - 630 003, India kalai_posa@yahoo.co.in Published in: "Notes on IFS", Volume 16 (2010) Number 3, pages 1—21 Download:  PDF (274  Kb, Info) Abstract: The intuitionistic fuzzy proper function is introduced and the relations among various types of continuity of intuitionistic fuzzy proper function on an intuitionistic fuzzy set and at every intuitionistic fuzzy point belonging to the intuitionistic fuzzy set in the context of intuitionistic smooth fuzzy topological spaces are discussed. The projection maps are also defined as intuitionistic fuzzy proper functions and their properties are proved. Keywords: Intuitionistic fuzzy proper function, intuitionistic smooth fuzzy topology, intuitionistic smooth fuzzy continuity References: Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy sets and systems, 20(1) (1986), 87-96. Aygün, H., Abbas, S. E., Some good extensions of Šostak's L-fuzzy topology, Hacet. J. Math. Stat., 36(2) (2007), 115 - 125. Chakraborty, M. K., Ahsanullah, T. M. G., Fuzzy topology on fuzzy sets and tolerance topology, Fuzzy Sets and Systems, 45(1) (1992), 103-108. Chang, C. L., Fuzzy topological spaces, J. Math. Anal. Appl., 24(1) (1968), 182-189. Chaudhuri, A. K., Das, P., Some results on fuzzy topology on fuzzy sets, Fuzzy Sets and Systems, 56(3) (1993), 331-336. Çoker, D., An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88(1) (1997), 81-89. Çoker, D., and Demirci, M., On intuitionistic fuzzy points, Notes on IFS, 1(2) (1995), 79-84. Çoker, D., and Demirci, M., An introduction to intuitionistic fuzzy topological space in Šostak sense, BUSEFAL 67 (1996), 67-76. Demirci, M., Neighborhood structures of smooth topological spaces, Fuzzy sets and Systems, 92(1) (1997), 123 - 128. Demirci, M., Three topological structures of smooth topological spaces, Fuzzy sets and Systems, 101(1) (1999), 185 - 190. Demirci, M., On several types of compactness in smooth topological spaces, Fuzzy sets and systems, 90(1) (1997), 83-88. El Gayyar, M. K., Kerre, E. E., Almost compactness and near compactness in smooth topological spaces, Fuzzy sets and Systems, 62(2) (1994), 193-202. Fath Alla, M. A., Mahmoud, F. S., Fuzzy topology on fuzzy sets, Functions with Fuzzy closed graphs, strong fuzzy closed graphs, J. Fuzzy Math., 9(3) (2001), 525-533. Hazra, R. N., Samanta, S. K., Chattopadhyay, K. C., Fuzzy topology redefined, Fuzzy sets and systems, 45(1) (1992), 79-82. Mondal, T. K., and Samanta, S. K., On intuitionistic gradation of openness, Fuzzy sets and systems 131 (2002), 323-336 Peeters, W., Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures, Fuzzy sets and Systems, 104(3) (1999), 423-433. Ramadan, A. A., Abbas, S. E., and Abd el-latif, A. A., Compactness in intuitionistic fuzzy topological space, Int. J. Math. Math. Sci., 1 (2005), 19-32. Ramadan, A. A., Fath Alla, M. A., Abbas, S. E., Smooth Fuzzy topology on fuzzy sets, J. Fuzzy Math., 10(1) (2002), 59-68. Šostak, A. P., On fuzzy topological structure, Rend. Circ. Matem. Palermo Ser. II, 11 (1985), 89-103. Šostak, A. P., On some modification of fuzzy topologies, Mat. Vesnik, 14 (1989), 51-64. Srivastava, R., On separation axioms in a newly defined fuzzy topology, Fuzzy sets and systems, 62(3) (1994), 341-346. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.