Answering an open question in fuzzy metric spaces

Xinxing Wu; Guanrong Chen

doi:10.1016/j.fss.2019.12.006

Answering an open question in fuzzy metric spaces

Xinxing Wu^*, Guanrong Chen

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

9 Citations (Scopus)

Abstract

This paper answers affirmatively a problem posted by Gregori et al. in 2012, proving that, the parametric distance involved in a stationary fuzzy metric space is uniformly continuous.

Original language	English
Pages (from-to)	188-191
Journal	Fuzzy Sets and Systems
Volume	390
Online published	16 Dec 2019
DOIs	https://doi.org/10.1016/j.fss.2019.12.006
Publication status	Published - 1 Jul 2020

Research Keywords

Fuzzy metric space
R-uniform continuity

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title = "Answering an open question in fuzzy metric spaces",

abstract = "This paper answers affirmatively a problem posted by Gregori et al. in 2012, proving that, the parametric distance involved in a stationary fuzzy metric space is uniformly continuous.",

keywords = "Fuzzy metric space, R-uniform continuity",

author = "Xinxing Wu and Guanrong Chen",

year = "2020",

month = jul,

day = "1",

doi = "10.1016/j.fss.2019.12.006",

language = "English",

volume = "390",

pages = "188--191",

journal = "Fuzzy Sets and Systems",

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publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Answering an open question in fuzzy metric spaces

AU - Wu, Xinxing

AU - Chen, Guanrong

PY - 2020/7/1

Y1 - 2020/7/1

N2 - This paper answers affirmatively a problem posted by Gregori et al. in 2012, proving that, the parametric distance involved in a stationary fuzzy metric space is uniformly continuous.

AB - This paper answers affirmatively a problem posted by Gregori et al. in 2012, proving that, the parametric distance involved in a stationary fuzzy metric space is uniformly continuous.

KW - Fuzzy metric space

KW - R-uniform continuity

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85076828130&origin=recordpage

U2 - 10.1016/j.fss.2019.12.006

DO - 10.1016/j.fss.2019.12.006

M3 - RGC 21 - Publication in refereed journal

SN - 0165-0114

VL - 390

SP - 188

EP - 191

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

Answering an open question in fuzzy metric spaces

Abstract

Research Keywords

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