MCDM METHOD FOR N-WISE CRITERIA COMPARISONS AND INCONSISTENT PROBLEMS

The purpose of this paper is to present an e[xtension and alternative of the hybrid method based on Saaty’s Analytical Hierarchy Process and Technique for Order Preference by Similarity to Ideal Solution method (AHP-TOPSIS), that based on the AHP and its use of pairwise comparisons, to a new method called α -D MCDM-TOPSIS( α -Discounting Method for multicriteria decision making-TOPSIS). The new method overcomes limits of AHP which work only for pairwise comparisons of criteria to any-wise (n-wise) comparisons, with crisp coefficients or with interval-valued coefficients. α-D MCDM-TOPSIS is verified by some examples to demonstrate how it allows for consistency, inconsistent, weak, inconsistent, and strong inconsistent problems