Curve arclength in fuzzy metric spaces
Date
2017
Authors
Chen, S.
Shi, P.
Lim, C.
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Journal article
Citation
Fuzzy Sets and Systems, 2017; 313:105-113
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Sheng Chen, Peng Shi, Cheng-Chew Lim
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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.
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© 2016 Elsevier B.V. All rights reserved.