On the extended Choquet-Sugeno-like operator

Abstract

In this short paper, we introduce and discuss the extended Choquet-Sugeno-like operator. It generalizes most of modifications of the Choquet integral on a finite set known in the literature providing a partially positive answer to the question posed by H. Bustince et al. in 2021. It also includes unknown Choquet-like and Sugeno-like operators. The standard optimization problem in cluster analysis is formulated using multivariable extension of the new operator.