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
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)
