Adelaide Research & Scholarship
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https://hdl.handle.net/2440/116894
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| Type: | Journal article |
| Title: | Curve arclength in fuzzy metric spaces |
| Author: | Chen, S. Shi, P. Lim, C. |
| Citation: | Fuzzy Sets and Systems, 2017; 313:105-113 |
| Publisher: | Elsevier |
| Issue Date: | 2017 |
| ISSN: | 0165-0114 1872-6801 |
| Statement of Responsibility: | Sheng Chen, Peng Shi, Cheng-Chew Lim |
| 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. |
| Keywords: | Fuzzy sets; addition operator; arclengths; fuzzy metric spaces |
| Rights: | © 2016 Elsevier B.V. All rights reserved. |
| DOI: | 10.1016/j.fss.2016.08.004 |
| Published version: | http://dx.doi.org/10.1016/j.fss.2016.08.004 |
| Appears in Collections: | Aurora harvest 3 Electrical and Electronic Engineering publications |
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