New aggregation operator under IFS for balancing liberalization of decision maker weight constraint

This paper focuses on an interesting and unresolved problem in the aggregation of decision makers' preferences. Scholars have rarely addressed this issue in group decision making process. The aggregation operators that use DMs' relative importance (weights) as one of their parameters for evaluation have strictly set a constraint that, the sum of relative importance must be equal to unity. This constraint does not fit well with decision making process as the weight values for the DMs are being forcibly estimated without offering actual freedom in such estimation. To relax this strict constraint from the aggregation process, in this paper, we make efforts to propose a new aggregation operator which considers no such constraint on DMs' weight values. This operator is an extension to simple intuitionistic fuzzy weighted geometry (SIFWG) operator. The reason for choosing SIFWG for extension is evident from the strength and simplicity of SIFWG operator. Finally, an illustrative example is demonstrated to realize the strength of the proposed aggregation operator.