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Research Article

JCDR. 2018; 9(4): 250-258

Generalized Trapezoidal Fuzzy Numbers: A New Approach to Ranking



Fuzzy numbers play an essential part in decision making, optimization, forecasting, and other areas of
analysis. Prior to taking action, fuzzy numbers must be rated by an executive. The ranking approach
presented by Chen and Chen (Expert Systems with Applications 36 (2009) 6833-6842) is shown to be
wrong in this work using various counter instances. New methods for ranking generalised trapezoidal
fuzzy numbers are the focus of this study. Because the suggested technique provides the right ordering of
generalised and normal trapezoidal fuzzy numbers, it is a significant benefit. According to Wang and
Kerre's (Fuzzy Sets and Systems 118 (2001) 375-385), the suggested ranking function meets all the
acceptable features of fuzzy quantities.

Key words: Ranking function, Generalized trapezoidal fuzzy num- bers

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