Attitudinal choquet integrals for strategic decision making

Abstract

The compensation capabilities of Choquet integral are augmented by providing it with an additional parameter to relate the same with the complex attitudinal character of a decision maker (DM). The resulting operator is termed as attitudinal Choquet integral (ACI). ACI operator is further generalized to develop generalized attitudinal Choquet integral (GACI) that represents an exponential class of ACI operators. The special cases of ACI and GACI operators are investigated. The variants of ACI and GACI operators, termed as induced ACI and induced GACI, are introduced. The proposed operators promise a great potential in modelling any human aggregation process that inevitably characterizes the individual attitude of a DM, criteria importances, and interaction among the criteria at the same time.