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Issue:Weakly generalized separation axioms in intuitionistic fuzzy topological spaces

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http://ifigenia.org/wiki/issue:nifs/21/1/62-68
Title of paper: Weakly generalized separation axioms in intuitionistic fuzzy topological spaces
Author(s):
R. Krishna Moorthy
Department of Mathematics, Kumaraguru College of Technology, Coimbatore, Tamil Nadu, India
krishnamoorthykct@gmail.com


Published in: "Notes on IFS", Volume 21, 2015, Number 1, pages 62—68
Download:  PDF (183  Kb, File info)
Abstract: The purpose of this paper is to introduce and investigate several types of new separation axioms in intuitionistic fuzzy topological spaces. After giving some characterizations of wgTg, wgTα and wgTαg separation axioms in intuitionistic fuzzy topological spaces, we give interrelations between several types of separation axioms and some counter examples.
Keywords: Intuitionistic fuzzy topology, intuitionistic fuzzy weakly generalized closed set, intuitionistic fuzzy wgTg spaces, intuitionistic fuzzy wgTα spaces and intuitionistic fuzzy wgTαg spaces.
AMS Classification: 54A99.
References:
  1. Atanassov, K. (1983) Intuitionistic Fuzzy Sets, VII ITKR's Session, Sofia, Central Science and Technical Library, Bulgarian Academy of Sciences, 1697/84 (Bulgarian).
  2. Chang, C. L. (1968) Fuzzy topological spaces, J. Math. Anal. Appl., 24, 182–190.
  3. Çoker, D. (1997) An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, 81–89.
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  5. Rajarajeswari, P., & Krishna Moorthy, R. (2011) On intuitionistic fuzzy weakly generalized closed set and its applications, Int. J. Comput. Appl., 27, 9–13.
  6. Rajarajeswari, P., & Krishna Moorthy, R. (2012) Intuitionistic fuzzy weakly generalized irresolute mappings, Ultra Sci. Phys. Sci., 24, 204–212.
  7. Sakthivel. K. (2010) Intuitionistic fuzzy alpha generalized continuous mappings and intuitionistic alpha generalized irresolute mappings, Applied Mathematical Sciences, 4, 1831–1842.
  8. Santhi, R., & Sakthivel, K. (2010) Intuitionistic fuzzy generalized semi continuous mappings, Adv. Theor. Appl. Math., 5, 11–20.
  9. Zadeh, L.A. (1965) Fuzzy sets, Information and Control, 8, 338–353.
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