An improvement on a ranking method

Sign distance method is a well-known method for ranking of fuzzy numbers. However, in this paper, we show that the sign distance method has some drawbacks, i.e., the result is not consistent with human intuition for special cases and this method can not always logically infer ranking order of the images of the fuzzy numbers. To overcome these problems, we introduce a modi¯cation of the sign distance method. Also, we present several properties for modi¯ed sign distance method while the original method has not some of them.

Keywords:

Fuzzy number , Ranking of fuzzy numbers , Modi¯ed sign distance method