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

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ZHONG Y.; Sostak A.

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:6 Page(s): 55-66

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Title

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

Author(s)

ZHONG Y. | Sostak A. | Issue Writer Certificate

Keywords

Nest of k-pseudo metric

fuzzy k-pseudo metric

fuzzifying topology

fuzzifying uniformity

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.

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APA: Copy

ZHONG, Y., & Sostak, A.. (2021). A new de nition of fuzzy k-pseudo metric and its induced fuzzifying structures. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(6 ), 55-66. SID. https://sid.ir/paper/693617/en

Vancouver: Copy

ZHONG Y., Sostak A.. A new de nition of fuzzy k-pseudo metric and its induced fuzzifying structures. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(6 ):55-66. Available from: https://sid.ir/paper/693617/en

IEEE: Copy

Y. ZHONG, and A. Sostak, “A new de nition of fuzzy k-pseudo metric and its induced fuzzifying structures,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 6 , pp. 55–66, 2021, [Online]. Available: https://sid.ir/paper/693617/en

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