An integrated fuzzy approach to solving multi-criteria decision making problems

Abstract

This paper proposed an integrated fuzzy approach based on Consistent Fuzzy Preference Relations (CFPR) and Generalized TOPSIS. The procedure of CFPR are improved by adapting Centroid-Index as defuzzification operator, in order to represent the whole set of fuzzy numbers correctly. The CFPR requires only (n-1) pair-wise comparisons for n given criteria, where this situation prove that the increasing number of criteria will not exponentially increased the number of pair-wise comparisons in criteria weights determination process. The evaluation of alternative towards criteria is carried out and the ranking can be obtained by using Generalized TOPSIS method. This method introduced Up and Lo operators for the purpose of determining ideal and negative ideal solutions, that are adequate under fuzzy environment and satisfied the partial ordering relations. The implementation of this integrated approach is presented in the selection of best notebook for students, which involved two decision makers, four criteria and four alternatives. The proposed method can be used as an alternative procedure in solving multi-criteria decision making (MCDM) problems.