Soft Computing

, Volume 15, Issue 7, pp 1373–1381 | Cite as

RM approach for ranking of LR type generalized fuzzy numbers

  • Amit Kumar
  • Pushpinder Singh
  • Parmpreet Kaur
  • Amarpreet Kaur
Original Paper

Abstract

Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting etc. Fuzzy numbers must be ranked before an action is taken by a decision maker. In this paper, with the help of several counter examples it is proved that ranking method proposed by Chen and Chen (Expert Syst Appl 36:6833–6842, 2009) is incorrect. The main aim of this paper is to propose a new approach for the ranking of LR type generalized fuzzy numbers. The proposed ranking approach is based on rank and mode so it is named as RM approach. The main advantage of the proposed approach is that it provides the correct ordering of generalized and normal fuzzy numbers and it is very simple and easy to apply in the real life problems. It is shown that proposed ranking function satisfies all the reasonable properties of fuzzy quantities proposed by Wang and Kerre (Fuzzy Sets Syst 118:375–385, 2001).

Keywords

Ranking function LR type generalized fuzzy number 

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Amit Kumar
    • 1
  • Pushpinder Singh
    • 1
  • Parmpreet Kaur
    • 1
  • Amarpreet Kaur
    • 1
  1. 1.School of Mathematics and Computer ApplicationsThapar UniversityPatialaIndia

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