A Pre-Extension of TOPSIS for Belief Group Decision Making

This paper extends TOPSIS (technique for order preference by similarity to ideal solution) by the approach of evidence combination to aggregating group preferences, in order to solve multiple attribute decision analysis (MADA) problems in the situation of belief group decision making (BGDM), where the attribute evaluation of each decision maker (DM) is represented by the bba (basic belief assignment), the applied foundation of Dempster-Shafer theory (DST). Corresponding to the approach, the extended TOPSIS model, named as the pre-extended model, is elaborated step by step, used to find the solution to BGDM. Furthermore, a numerical example clearly illustrates the procedure of pre-extended model for BGDM.