On the Ranking Fuzzy Numbers Using Signal/Noise Ratios

The importance as well as the difficulty of the problem of ranking fuzzy numbers is pointedout. here we consider approaches to the ranking of fuzzy numbers based upon the idea ofassociating with a fuzzy number a scalar value, its signal/noise ratios, where the signal andthe noise are defined as the middle-point and the spread of each -cut of a fuzzy number,respectively. we use the value of a as the weight of the signal/noise ratio of each -cutof a fuzzy number to calculate the ranking index of each fuzzy number. the proposedmethod can rank any kinds of fuzzy numbers with different kinds of membership functions.