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  | issue          = [[Notes on Intuitionistic Fuzzy Sets/17/3|"Notes on IFS", Volume 17 (2011) Number 3]], pages 30—40
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Latest revision as of 17:48, 28 August 2024

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Title of paper: Intuitionistic fuzzy contra semi-generalized continuous mappings
Author(s):
R. Santhi
Department of Mathematics, Nallamuthu Gounder, Mahalingam College, Pollachi - 642 001, Tamil Nadu – India
santhifuzzy@yahoo.co.in
K. Arun Prakash
Department of Mathematics, Kongu Engineering College, Perundurai - 638 052, Tamil Nadu – India
arun.kannusamy@yahoo.co.in
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 17 (2011) Number 3, pages 30—40
Download:  PDF (433  Kb, File info)
Abstract: The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy contra semi-generalized continuous mappings in intuitionistic fuzzy topological space. We investigate some of its fundamental properties and its characterizations.
Keywords: Intuitionistic fuzzy topology, Intuitionistic fuzzy semi-generalized closed set, Intuitionistic fuzzy semi-generalized open set, Intuitionistic fuzzy contra semi-generalized continuous mapping, Intuitionistic fuzzy semi-T1/2 space.
AMS Classification: 54A40, 03F55
References:
  1. Atanassov, K.T. Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87–96.
  2. Krsteska, B., E. Ekici, Intuitionistic fuzzy contra strong precontinuity, Faculty of Sciences and Mathematics, University of Nis, Siberia, 2007, 273–284.
  3. Chang, C.L. Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1986), 182–190.
  4. Ҫoker, D. An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88 (1997), 81–89.
  5. Ekici, E., E. Kerre, On fuzzy contra-continuities, Advances in Fuzzy Mathematics, 1 (2006), 35–44.
  6. Gurcay, H., D. Ҫoker, On fuzzy continuity in intuitionistic fuzzy topological spaces, J.Fuzzy.Math, 5 (1997), 365–378.
  7. Joen, J.K., Y.B.Jun, J.H.Park, Intuitionistic fuzzy alpha-continuity and intuitionistic fuzzy precontinuity, IJMMS, 19 (2005), 3091–3101.
  8. Lee, S.J., E.P. Lee, The category of intuitionistic fuzzy topological spaces, Bull. Korean. Math. Soc. 37 (2000). no.1, 63–71.
  9. Santhi, R., K.Arun Prakash, On intuitionistic fuzzy semi-generalized closed sets and its applications. Int. J. Contemp. Math. Sciences, Vol.5, 2010, no, 34, 1677–1688.
  10. Santhi, R., K. Arun Prakash, Intuitionistic fuzzy semi-generalized irresolute mappings (accepted).
  11. Santhi, R., K. Arun Prakash, Intuitionistic fuzzy semi-generalized closed mappings (submitted).
  12. El-Shafei, M.E., A.Zakai, Semi-generalized continuous mappings in fuzzy topological spaces, J.Egypt.Math.Soc. Vol.15 (1) (2007), 57–67.
  13. Thakur, S. S, R. Chaturvedi, Regular generalized closed sets in intuitionistic fuzzy topological spaces, Universitatea Din Bacau, Studii Si Cercetari Stiintifice, Seria Mathematica, 2006, 257–272.
  14. Zadeh, L. A. Fuzzy sets, Information Control, 8 (1965), 338–353.
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