A new approach for ranking fuzzy numbers based on centroid point index and shifting origin

Ranking fuzzy numbers is a significant issue in fuzzy set theory. Fuzzy numbers cannot be ranked as easily as real numbers. In this paper, an almostcomprehensive literature review is provided on fuzzy number ranking methods. Deficiencies of these methods in the literature are discussed, andthen a new method is proposed to eliminate these shortcomings for normal fuzzy numbers. Some numerical examples are presented to illustrate thenew method. Furthermore, previous methods are compared with the proposed method by some other instances. The results show that our methodhas the same solutions for almost all cases, but it has a very simple calculation process compared to existing methods

Keywords:

Fuzzy ranking , fuzzy set , fuzzy number , centroid point