The Uncertain Generalized Probabilistic Weighted Average and its Application in the Theory of Expertons

Abstract

We introduce the uncertain generalized probabilistic weighted averaging (UGPWA) operator. It is an aggregation operator that unifies the probability and the weighted average in the same formulation considering the degree of importance that each concept has in the aggregation. Moreover, it is able to assess uncertain environments that can not be assessed with exact numbers but it is possible to use interval numbers. Thus, we can analyze imprecise information considering the minimum and the maximum result that may occur. We analyze the applicability of this new approach in a multiperson decision making problem by using the theory of expertons.