Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THE CATEGORY OF INTUITIONISTIC FUZZY TOPOLOGICAL SPACES

  • Published : 2000.02.01
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Abstract

In this paper, we introduce the concept of intuitionistic fuzzy points and intuitionistic fuzzy neighborhoods. We investigate the properties of continuous, open and closed maps in the intuitionistic fuzzy topological spaces, and show that the category of Chang's fuzzy topological spaces is a bireflective full subcategory of that of intuitionistic fuzzy topological spaces.

Keywords

References

  1. Fuzzy Sets and Systems v.20 Intuitionistic fuzzy sets K.T. Atanassov
  2. J. Math. Anal. Appl. v.24 Fuzzy topological spaces C.L. Chang
  3. Fuzzy Sets and Systems v.88 An introduction to intuitionistic fuzzy topological spaces D.Coker
  4. J. Fuzzy Math. v.3 On fuzzy compactness in intuitionistic fuzzy topological spaces D.Coker;A.Haydar Es
  5. J. Fuzzy Math. v.5 On fuzzy continuity in intutionistic fuzzy topological spaces H.Gurcay;D.Coker;A.Haydar Es