The fuzzy metric space based on fuzzy measure-Reference-Cited by-同舟云学术

The fuzzy metric space based on fuzzy measure

Published:2016-01-01 Issue:1 Volume:14 Page:603-612
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Xie Jialiang,Li Qingguo,Chen Shuili,Huang Huan

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0051/pdf

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