On Hausdorffness and compactness in intuitionistic fuzzy topological spaces

Authors

  • K. K. Azad Department of Mathematics, University of Allahabad, Allahabad-211 002, India Author
  • Shiva Mittal Department of Mathematics, University of Allahabad, Allahabad-211 002, India Author

Keywords:

Fuzzy topology, intuitionistic fuzzy topology, fuzzy λ-Hausdorff space, fuzzy μ-compact space, intuitionistic fuzzy A-Hausdorff space, intuitionistic fuzzy A-compact space

Subjects:

54A05

Abstract

Without directly involving the roleof points, we introduce and study the notions of fuzzyλ-Hausdorff spaces and fuzzy μ-compact spaces. Acharacterization of a map f from a fuzzy λ-Hausdorff spaceX to a fuzzy μ-compact space Y, where λ=f1(μ),to be fuzzy λ-continuous is obtained, which puts such acharacterization for the continuity of f in ordinary topologicalsetting, for fuzzy topological spaces. These notions and resultshave been formulated for intuitionistic fuzzy topological spaces also.

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Published

2011-04-15