α-D MCDM-Topsis Multi-Criteria Decision Making Method for N-Wise Criteria Comparisons and Inconsistent Problems

The purpose of this paper is to present an extension and alternative of the hybrid approach using Saaty’s Analytical Hierarchy Process (AHP) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) 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 Multi-Criteria Decision Making-TOPSIS). The proposed method works not only for preferences that are pairwise comparisons of criteria as AHP does, but for preferences of any n-wise (with n ≥ 2) comparisons of criteria. Finally the α-D MCDM-TOPSIS methodology is verified by some examples to demonstrate how it might be applied in different types of matrices and is how it allwos for consistency, inconsistent, weak inconsistent, and strong inconsistent problems.