Bonferroni means with the induced Owawa operator

Abstract

The induced ordered weighted average is an averaging aggregation operator that provides a parameterized family of aggregation operators between the minimum and the maximum. This paper presents a new operator that takes into the same formulation the IOWA operator and the Bonferroni means. This new operator is called Bonferroni Induced Ordered Weighted Averaging-Weighted Average (BON-IOWAWA) operator. The main advantage of this approach is the possibility of reordering the results according to complex ranking processes based on order inducing variables. The article also considers the applicability of the new approach in the decision-making process in the selection of investment.