A note on ranking generalized fuzzy numbers

  • Authors:

  • Peida Xu;Xiaoyan Su;Jiyi Wu;Xiaohong Sun;Yajuan Zhang;Yong Deng

  • Affiliations:

  • School of Electronics and Information Technology, Shanghai Jiao Tong University, Shanghai, China and College of Food Science and Technology, Shanghai Ocean University, Shanghai, China and Hangzhou ...;School of Electronics and Information Technology, Shanghai Jiao Tong University, Shanghai, China and Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xi ...;Hangzhou Key Lab of E-Bussiness and Information Security, Hangzhou Normal University, Zhejiang, China;College of Food Science and Technology, Shanghai Ocean University, Shanghai, China;College of Computer and Information Sciences, Southwest University, Chongqing 400715, China and Key Subject Laboratory of National Defense for Radioactive Waste and Environmental Security, Southwe ...;College of Computer and Information Sciences, Southwest University, Chongqing 400715, China

  • Venue:
  • Expert Systems with Applications: An International Journal
  • Year:
  • 2012

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Abstract

Ranking fuzzy numbers plays an important role in decision making under uncertain environment. Recently, Chen and Sanguansat (2011) [Chen, S. M. & Sanguansat, K. (2011). Analyzing fuzzy risk based on a new fuzzy ranking method between generalized fuzzy numbers. Expert Systems with Applications, 38(3), (pp. 2163-2171)] proposed a method for ranking generalized fuzzy numbers. It considers the areas on the positive side, the areas on the negative side and the heights of the generalized fuzzy numbers to evaluate ranking scores of the generalized fuzzy numbers. Chen and Sanguansat's method (2011) can overcome the drawbacks of some existing methods for ranking generalized fuzzy numbers. However, in the situation when the score is zero, the results of the Chen and Sanguansat's ranking method (2011) ranking method are unreasonable. The aim of this short note is to give a modification on Chen and Sanguansat's method (2011) to make the method more reasonable.