A method of ranking fuzzy numbers in decision-making problems

  • Authors:

  • Bin Jiao;Zhigang Lian;Chen Qunxian

  • Affiliations:

  • School of Electric, Shanghai Dianji University, Shanghai, China;School of Economy and Management, Shanghai Dianji University, Shanghai, China;School of Electronic & Information, Shanghai Dianji University, Shanghai, China

  • Venue:
  • FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
  • Year:
  • 2009

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Abstract

Ranking fuzzy numbers is important for decision-making problems in a fuzzy environment, since the measurements are imprecise in nature. In this paper, the angle of triangular and trapezoidal fuzzy number, the fuzzy spread of triangular and trapezoidal fuzzy number a re defined respectively, which are important indices for ranking fuzzy numbers. Using these new ranking indices, one new method of ranking fuzzy numbers was proposed, which considered a ranking-maker's preference. The results of some preliminary numerical experiments with the proposed method show the discrimination is better; this new way is simple and efficient for the calculation and comparison.