INTUITIONISTIC FUZZY QUASI-METRIC AND PSEUDO-METRIC SPACES

نویسندگان

Binguo Wang College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, 266510, P. R. China

Xianwen Fang Department of Mathematics and Physics, Anhui University of Science and Technology, Huainan,Anhui, 232001, P. R. China

Yongfa Hong College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, 266510, P. R. China

چکیده مقاله:

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

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