Citation
Ebadi, M. J. and Suleiman, Mohamed and Ismail, Fudziah and Ahmadian, Ali and Shahryari, M. R. Balooch and Salahshour, Soheil
(2013)
A new distance measure for trapezoidal fuzzy numbers.
Mathematical Problems in Engineering, 2013.
art. no. 424186.
pp. 1-4.
ISSN 1024-123X
Abstract
We propose a new distance measure for the space of all trapezoidal fuzzy numbers using centroid point and left/right spread of trapezoidal fuzzy numbers. Moreover, the metric properties of suggested distance measure are investigated. Indeed, we show that for two arbitrary trapezoidal fuzzy numbers if the distance between centroid points and also the distance between left spreads and right spreads go to zero, then two given fuzzy numbers are equal. Consequently, we complete discussion about the relation between fuzzy number and its centroid which is the firstly discussed by Hadi-Vencheh and Allame (2010). To the best of our knowledge, this is first time in the literature that such metric is applied by centroid point.
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Official URL or Download Paper: http://www.hindawi.com/journals/mpe/2013/424186/
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/424186 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Distance measure; Fuzzy numbers; Metric properties; Right spreads; Trapezoidal fuzzy numbers. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 26 Aug 2014 08:07 |
| Last Modified: | 09 Sep 2015 02:41 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/424186 |
| URI: | http://psasir.upm.edu.my/id/eprint/30211 |
| Statistic Details: | View Download Statistic |
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