In 2002, Chu and Tsao proposed a method to rank fuzzy numbers. They employed an area between the centroid and original points to rank fuzzy numbers; however there were some problems with the ranking method. In this paper, we want to indicate these problems of Chu and Tsao's method, and then propose
Ranking fuzzy numbers with an area between the centroid point and original point
β Scribed by Ta-Chung Chu; Chung-Tsen Tsao
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 341 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
To improve the ranking method of Lee and Li [1], Cheng [2] proposed the coefficient of variation (CV index). Shortcomings are also found in the CV index. Cheng [2] also proposed the distance method to improve the ranking method of Murakami et al. However, the distance method is not sound either. Moreover, the CV index contradicts the distance method in ranking some fuzzy numbers. Therefore, to overcome the above shortcomings, we propose ranking fuzzy numbers with the area between the centroid point and original point. (~) 2001 Elsevier Science Ltd. All rights reserved.
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