The fuzzy metric space based on fuzzy measure

被引：1
作者：
Xie, Jialiang [1 ]
Li, Qingguo [2 ]
Chen, Shuili [3 ]
Huang, Huan [1 ]
机构：
[1] Jimei Univ, Coll Sci, Xiamen 361021, Fujian, Peoples R China
[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[3] Jimei Univ, Chengyi Univ Coll, Xiamen 361021, Fujian, Peoples R China
来源：
OPEN MATHEMATICS | 2016年 / 14卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy measure; Fuzzy metric space; t-Norm; Nonatom; Convex; FIXED-POINT THEOREMS; DECOMPOSABLE MEASURES; SIGMA-ALGEBRAS;
D O I：
10.1515/math-2016-0051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：603 / 612
页数：10
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