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

Abstract

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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.

How to cite

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Jialiang 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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