A revised method for ranking generalized fuzzy numbers

A number of fuzzy number ranking methods have been proposed by the researchers in recent years. However, most of them have exhibited several shortcomings associated with non-discriminative and counter-intuitive problems, especially, when the fuzzy numbers are symmetric fuzzy numbers or crisp numbers. In this paper, we propose a new method for ranking generalized fuzzy numbers where the weight of centroid points, degrees of fuzziness and the spreads of fuzzy numbers are taken into consideration, which can overcome the drawbacks of exiting methods and is efficient for evaluating symmetric fuzzy numbers and crisp numbers. At last, several numerical examples are provided to illustrate the superiority of the proposed method.