# A new approach for KM-fuzzy partial metric spaces

Yu Shen; Chong Shen; Conghua Yan

Kybernetika (2022)

- Volume: 58, Issue: 1, page 64-81
- ISSN: 0023-5954

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topShen, Yu, Shen, Chong, and Yan, Conghua. "A new approach for KM-fuzzy partial metric spaces." Kybernetika 58.1 (2022): 64-81. <http://eudml.org/doc/297421>.

@article{Shen2022,

abstract = {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 $\tau _\{P\}$ on X deduced from KM-fuzzy partial metric is established and some properties of this fuzzifying topology are discussed.},

author = {Shen, Yu, Shen, Chong, Yan, Conghua},

journal = {Kybernetika},

keywords = {partial metric; KM-fuzzy metric; KM-fuzzy partial metric; partial pseudo-metric system; fuzzy neighborhood system},

language = {eng},

number = {1},

pages = {64-81},

publisher = {Institute of Information Theory and Automation AS CR},

title = {A new approach for KM-fuzzy partial metric spaces},

url = {http://eudml.org/doc/297421},

volume = {58},

year = {2022},

}

TY - JOUR

AU - Shen, Yu

AU - Shen, Chong

AU - Yan, Conghua

TI - A new approach for KM-fuzzy partial metric spaces

JO - Kybernetika

PY - 2022

PB - Institute of Information Theory and Automation AS CR

VL - 58

IS - 1

SP - 64

EP - 81

AB - 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 $\tau _{P}$ on X deduced from KM-fuzzy partial metric is established and some properties of this fuzzifying topology are discussed.

LA - eng

KW - partial metric; KM-fuzzy metric; KM-fuzzy partial metric; partial pseudo-metric system; fuzzy neighborhood system

UR - http://eudml.org/doc/297421

ER -

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