INTUITIONISTIC FUZZY QUASI-METRIC AND PSEUDO-METRIC SPACES
نویسندگان
1 College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, 266510, P. R. China
2 College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, 266510, P. R. China
3 Department of Mathematics and Physics, Anhui University of Science and Technology, Huainan,Anhui, 232001, P. R. China
doi
10.22111/ijfs.2008.349چکیده
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.
