A new approach for KM-fuzzy partial metric spaces

Title:

A new approach for KM-fuzzy partial metric spaces

Creator:

Shen, Yu, Shen, Chong, and Yan, Conghua

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5ad0fb79-f7aa-4140-93bb-2c0fc054772a
uuid:5ad0fb79-f7aa-4140-93bb-2c0fc054772a
doi:10.14736/kyb-2022-1-0064

Subject:

partial metric, KM-fuzzy metric, KM-fuzzy partial metric, partial pseudo-metric system, and fuzzy neighborhood system

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The main purpose of this paper is to give a new approach for partial metric spaces. We first provide the new concept of KM-fuzzy partial metric, as an extension of both the partial metric and KM-fuzzy metric. Then its relationship with the KM-fuzzy quasi-metric is established. In particularly, we construct a KM-fuzzy quasi-metric from a KM-fuzzy partial metric. Finally, after defining the notion of partial pseudo-metric systems, a one-to-one correspondence between partial pseudo-metric systems and KM-fuzzy partial pseudo-metrics is constructed. Furthermore, a fuzzifying topology τP on X deduced from KM-fuzzy partial metric is established and some properties of this fuzzifying topology are discussed.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

64-81

Source:

Kybernetika | 2022 Volume:58 | Number:1

Harvested from:

CDK

Metadata only:

false