# CREDIBILITY THEORY ORIENTED PREFERENCE INDEX FOR RANKING FUZZY NUMBERS

Document Type : Research Paper

Authors

1 Department of Statistics, Payame Noor University,, Tehran 19395-3697, Iran

2 Department of Mathematical Sciences,, Isfahan University of Technology,, Isfahan 84156-83111, Iran

Abstract

This paper suggests  a novel approach for ranking the most applicable fuzzy numbers, i.e.  $LR$-fuzzy numbers. Applying the  $\alpha$-optimistic values of a fuzzy number, a preference criterion is proposed for ranking fuzzy numbers using the Credibility index. The main properties of the proposed  preference criterion  are also studied.  Moreover, the proposed method is   applied for ranking fuzzy numbers using   target-rank-based methods. Some numerical examples are used to illustrate the proposed ranking procedure. The proposed preference criterion is also examined in order to compare  with  some common methods and the feasibility and effectiveness   of the proposed ranking method is  cleared via some  numerical comparisons.

Keywords

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