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Abstract
The aim of the present paper is to introduce two classes of open mappings using intuitionistic fuzzy supra open sets and semi-supra open sets in intuitionistic fuzzy supra topological spaces. It is nothing but, the image of intuitionistic fuzzy supra open set (resp. supra open) is intuitionistic fuzzy semi-supra closed set (resp. supra closed) in co-domain space. Moreover , a few of their significant properties have been studied. A necessary and sufficient condition for intuitionistic fuzzy supra contra semi-open mapping has been derived in terms of semi-supra closure and semi-supra interior. Also, the class of intuitionistic fuzzy supra contra open mappings is properly contained in that of intuitionistic fuzzy supra contra semi-open mappings has been investigated. Suitable examples have been given to establish that the reversible implications are lacking in general. A notion of intuitionistic fuzzy supra contra semi-homeomorphism has been defined and characterized.
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References
A.Manimaran., Arun Prakash.K,"Intuitionistic Fuzzy Contra Open Mappings in Intuitionistic Fuzzy Topological Space ", International Journal of Engineering and Technical Research(IJETR), Volume-2, Issue-4, April 2014, 160-164.
D.Coker, "An Introduction to Intuitionistic Fuzzy topological Spaces", Fuzzy Sets and Systems, 88(1997) 81-89
J.Dontchev, Contra-Continuous Functions and Strongly S-Closed Spaces, Internati.J.Math. Math.Sci 19(1996),303-310.
K.T.Atanassov, "Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems," 20(1986),87-96.
L.A. Zadeh, "Fuzzy Sets, Information and control," 8(1965),338-353
M.Anbuchelvi, R.Deepthi Xavieriene, ” Contra Alpha Supra Continuity in Intuitionistic Fuzzy Supra Topological Space”(To be appeared)
M.Anbuchelvi, P.Sudha, ” Intuitionistic Fuzzy Supra Contra Semi-Continuous Mappings” (To be appeared)
M .Parimala, C.Indirani, " On Intuitionistic Fuzzy Semi Supra Open Set and Intuitionistic Fuzzy Semi Supra Continuous Functions," Procedia Computer Science,47,(2015) 319-325
N.Turanh, "On Intuitionistic Fuzzy Supra Topological Spaces," International Conference on Modeling and Simulation, Spain, Vol II,(1999)69-77.
N.Turanh, "An Over View of Intuitionistic Fuzzy Supra Topological Spaces," Hacettepe Journal of Mathematics and Statistics, Volume 32(2003),17-26.