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Curve arclength in fuzzy metric spaces.

Authors :
Chen, Sheng
Shi, Peng
Lim, Cheng-Chew
Source :
Fuzzy Sets & Systems. Apr2017, Vol. 313, p105-113. 9p.
Publication Year :
2017

Abstract

In the paper, an arclength notion of continuous curves in fuzzy metric spaces is proposed, and some arclength properties are studied, including invariance, additivity, continuity and boundedness. It turns out that these arclength properties imply the corresponding ones in metric spaces. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ARC length
*METRIC spaces
*CURVES
*FUZZY sets
*MATHEMATICAL symmetry

Details

Language :
English
ISSN :
01650114
Volume :
313
Database :
Academic Search Index
Journal :
Fuzzy Sets & Systems
Publication Type :
Academic Journal
Accession number :
121356519
Full Text :
https://doi.org/10.1016/j.fss.2016.08.004
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