On intuitionistic gradation of openness

Authors:
Tapas Kumar Mondal;S. K. Samanta
Affiliations:
Department of Mathematics, Visva-Bharati University, Santiniketan 731235, West Bengal, India;Department of Mathematics, Visva-Bharati University, Santiniketan 731235, West Bengal, India
Venue:
Fuzzy Sets and Systems - Mathematics
Year:
2002

Citing 15
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Abstract

In this paper, we introduce a concept of intuitionistic gradation of openness on fuzzy subsets of a nonempty set X and define an intuitionistic fuzzy topological space. We prove that the category of intuitionistic fuzzy topological spaces and gradation preserving mappings is a topological category. We study compactness of intuitionistic fuzzy topological spaces and prove an analogue of Tychonoff's theorem.