# The fuzzy metric space based on fuzzy measure

Jialiang Xie; Qingguo Li; Shuili Chen; Huan Huang

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 603-612
- ISSN: 2391-5455

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topJialiang Xie, et al. "The fuzzy metric space based on fuzzy measure." Open Mathematics 14.1 (2016): 603-612. <http://eudml.org/doc/286772>.

@article{JialiangXie2016,

abstract = {In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.},

author = {Jialiang Xie, Qingguo Li, Shuili Chen, Huan Huang},

journal = {Open Mathematics},

keywords = {Fuzzy measure; Fuzzy metric space; t-Norm, Nonatom; Convex; fuzzy measure; fuzzy metric space; -norm, nonatom; convex},

language = {eng},

number = {1},

pages = {603-612},

title = {The fuzzy metric space based on fuzzy measure},

url = {http://eudml.org/doc/286772},

volume = {14},

year = {2016},

}

TY - JOUR

AU - Jialiang Xie

AU - Qingguo Li

AU - Shuili Chen

AU - Huan Huang

TI - The fuzzy metric space based on fuzzy measure

JO - Open Mathematics

PY - 2016

VL - 14

IS - 1

SP - 603

EP - 612

AB - In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.

LA - eng

KW - Fuzzy measure; Fuzzy metric space; t-Norm, Nonatom; Convex; fuzzy measure; fuzzy metric space; -norm, nonatom; convex

UR - http://eudml.org/doc/286772

ER -

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