A New Approach for Ranking of Fuzzy numbers With Continuous Weighted Quasi-Arithmetic Means

Many ranking methods have been proposed so far. The fuzzy number defuzzification method with continuous weighted quasi-arithmetic means was proposed by Yoshida in the domain (-∞,+∞) . Recently in [22], the researcher used this method with the ordinary fuzzy set in a compact interval, that all the conclusions can be extended to the ordinary fuzzy set in [24] directly. This parameterized defuzzification can be used as a crisp approximation with respect to a fuzzy quantity. In this article, the researchers will use this defuzzification for ordering fuzzy numbers. This method can effectively rank various fuzzy numbers, their images and overcome the shortcomings of the previous techniques. The proposed model is studied for a broad class for fuzzy numbers. The calculation of this method is far simpler than the other approaches. This article also used some comparative examples to illustrate the advantage of the proposed method.