University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06545320081009INTUITIONISTIC FUZZY QUASI-METRIC AND PSEUDO-METRIC SPACESINTUITIONISTIC FUZZY QUASI-METRIC AND PSEUDO-METRIC SPACES818834910.22111/ijfs.2008.349ENYongfaHongCollege of Information Science and Engineering, Shandong University
of Science and Technology, Qingdao, Shandong, 266510, P. R. ChinaXianwenFangDepartment of Mathematics and Physics, Anhui University of Science
and Technology, Huainan,Anhui, 232001, P. R. ChinaBinguoWangCollege of Information Science and Engineering, Shandong University
of Science and Technology, Qingdao, Shandong, 266510, P. R. ChinaJournal Article20070109In 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.https://ijfs.usb.ac.ir/article_349_e462bdee3462b5203d0b7af5bdba624c.pdf