Title of article
A new definition of fuzzy k-pseudo metric and its induced fuzzifying structures
Author/Authors
Zhong, Y. College of Science - North China University of Technology, P.R. China , Sostak, A. Department of Mathematics - University of Latvia , atvia
Pages
12
From page
55
To page
66
Abstract
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.
Keywords
Nest of k-pseudo metric , fuzzy k-pseudo metric , fuzzifying topology , fuzzifying uniformity
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2021
Record number
2683373
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