On the triangle inequalities in fuzzy metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2007 English Publisher:Elsevier BVJournal:Information Sciences, volume 177, pages 1,063-1,072 (issn: 0020-0255,

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Authors: Huan Huang 0005; Congxin Wu;

doi: 10.1016/j.ins.2006.08.019

On the triangle inequalities in fuzzy metric spaces

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Abstract

This paper presents level forms of the triangle inequalities in fuzzy metric spaces. Validity, equivalence and other properties of the level forms of the triangle inequalities are explored. This offers a new tool for the description and analysis of fuzzy metric spaces. The authors conclude that the results of the paper may be applied for the establishment of variational principles and fixed point theorems, this because the results are in the best possible form.

Related Organizations

Jimei University
China (People's Republic of)
Harbin Institute of Technology
China (People's Republic of)

Keywords

Fuzzy topology, Metric spaces, metrizability, Fuzzy numbers, Fuzzy metric spaces

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