Fuzzy Analytical Hierarchy Process with Unsymmetrical Triangular Fuzzy Number for Supplier Selection Process

Abstract

In the area of Multi Criteria Decision Making, it is well known that Analytical Hierarchy Process (AHP) is widely used. In the AHP, the weight of criteria and alternatives are obtained from the expert judgment doing pairwise comparison. Fuzzy AHP (FAHP) is developed in order to overcome situation in which expert has difficulty to give clear judgment on the comparison. FAHP is usually developed using a set of Triangular Fuzzy Number (TFN). This research is proposed a FAHP with unconventional TFN, which allow the expert give his/her own fuzzy number for each comparison. We name the number as the Unsymmetrical Triangular Fuzzy Number, in which the membership function is still in the shape of triangular but the shape is not symmetric. The complete methodology of the proposed FAHP is developed with reference to the fuzzy logarithmic least square method (LLSM). A case study for supplier selection process is provided in order to show the applicability of the proposed method.