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INTUITIONISTIC FUZZY QUASI-METRIC AND PSEUDO-METRIC SPACES

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In this paper, we propose a new definition of intuitionistic fuzzy quasi-metric and pseudo-metric spaces based on intuitionistic fuzzy points, We prove some properties of intuitionistic fuzzy quasi- metric and pseudo-metric spaces, and show that every intuitionistic fuzzy pseudo-metric space is intuitionistic fuzzy regular and intuitionistic fuzzy completely normal and hence intuitionistic fuzzy normal. These are the intuitionistic fuzzy generalization of the corresponding properties of fuzzy quasi-metric and pseudo- metric spaces.

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