A new definition of fuzzy k-pseudo metric and its induced fuzzifying structures
نویسندگان
1 College of Science, North China University of Technology, Beijing 100144, P.R. China
2 Department of Mathematics, University of Latvia, Riga LV-1084, and Institute of Mathematics and Computer Science, University of Latvia, Riga LV-1459, Latvia
doi
10.22111/ijfs.2021.6333چکیده
In this paper, a new definition of a fuzzy $k$-pseudo metric is introduced and its induced fuzzifying structures are constructed, such as a fuzzifying neighborhood system, a fuzzifying topology, a fuzzifying closure operator, a fuzzifying uniformity.Besides, it is shown that there is a one-to-one correspondence between fuzzy $k$-pseudo metrics and nests of crisp $k$-pseudo metrics.
