INTUITIONISTIC FUZZY QUASI-METRIC AND PSEUDO-METRIC SPACES

Abstract

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