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

Y. Zhong; Aleksandrs Šostaks

doi:10.22111/ijfs.2021.6333

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

Y. Zhong
, Aleksandrs Šostaks

Latvijas Universitāte

University of Latvia

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

9 Atsauces (Scopus)

Kopsavilkums

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.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	55-66
Lapu skaits	12
Žurnāls	Iranian Journal of Fuzzy Systems
Sējums	18
Izdevuma numurs	6
DOIs	https://doi.org/10.22111/ijfs.2021.6333
Publikācijas statuss	Publicēts - 1 nov. 2021

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1.1 Matemātika

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10.22111/ijfs.2021.6333

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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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AB - 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.

KW - Fuzzifying topology

KW - Fuzzifying uniformity

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KW - Nest of k-pseudo metric

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DO - 10.22111/ijfs.2021.6333

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

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