A new definition of fuzzy k-pseudo metric and its induced fuzzifying structures

Author(s):

Y. Zhong * , A. Sostak

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Iranian journal of fuzzy systems, Volume:18 Issue: 6, Nov-Dec 2021
Pages:
55 to 66
https://www.magiran.com/p2324145