Relative agreement method for multiple criteria decision making problems with interval numbers

Abstract

So far, many ways have been provided to solve multiple criteria decision making problems with interval numbers. Most of these methods rank the alternatives according to two criteria, that is, being close to the positive ideal solution and far away from the negative ideal solution. In this paper, a method is presented for solving multiple criteria decision making problems with interval numbers, such that being close to positive ideal solution and being away from negative ideal solution have the same effect in alternatives ranking. In the proposed method, the first positive ideal solution and negative ideal solution are determined as interval numbers and distance of each alternative from positive ideal solution and negative ideal solution is calculated by extension of Euclidean distance. Then, a compromise index is defined to rank the alternatives. Three numerical examples are given to compare the proposed method with other methods presented in the literature.