An interval-based approach for working with fuzzy numbers

Abstract

An interval-based approach for working with fuzzy numbers is presented. This approach is based on the use of a ranking function calling the average value. This ranking function can be used in different processes associated to fuzzy numbers. Processes as ranking methods, indifference relations, operations on fuzzy numbers and distance measures, has been considered. An interpretation for each one of these processes, as an equivalent process on real intervals representing the mean value of the fuzzy numbers involved, has been obtained. Moreover, from this interpretation the above processes may be visualized through an useful graphic representation.