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 (MCDM) problems with interval numbers. Most of these methods rank the alternatives according to two criteria, that is, being close to the positive ideal solution (PIS) and far away from the negative ideal solution (NIS). In this paper, a method is presented for solving MCDM problems with interval numbers, such that being close to PIS and being away from NIS have the same effect in alternatives ranking. In the proposed method, the first PIS and NIS are determined as interval numbers and distance of each alternative from PIS and NIS 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.

Multiple-attribute group decision making using a modified TOPSIS method in the presence of interval data

“…Saffarzadeh et al [17] proposed a method such that being away from NIS and being close to PIS have the same effect in alternatives ranking. In their proposed method, the PIS and NIS are determined as interval numbers and distance of each alternative from PIS and NIS is calculated by extension of Euclidean distance.…”