A Note on Extension of Fuzzy Metric Spaces

被引：0
|
作者：
Zheng, Dingwei [1 ]
He, Qingming [1 ]
机构：
[1] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 24期
基金：
中国国家自然科学基金;
关键词：
fuzzy metric; positive; stationary; Lipschitz condition;
D O I：
10.3390/math11244898
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we prove that for two compatible fuzzy metrics MH and MK on H and K, respectively, there exists a fuzzy metric M on H & Union;K such that M|H=MH and M|K=MK under the conditions that t-norm * is positive and fuzzy metrics MH,MK are strong, or t-norm * is positive and t-norm *, fuzzy metrics MH,MK satisfy the Lipschitz conditions.
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页数：9
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