We introduce a notion of noncommutative Choquet simplex, or briefly an nc that generalizes the classical simplex. While every simplex is there are many more simplices. They arise naturally from C*-algebras and in dynamics. characterize simplices terms their geometry structural properties corresponding operator systems. There natural definition Bauer show compact convex set if only it affinely h...

This paper provides a discussion on difference representations of the asymmetric Choquet integral with respect to a signed fuzzy measure with bounded chain variation. There are given difference representations of the Choquet integral with respect to a signed fuzzy measure based on its representation as difference of two fuzzy measures.

In this paper, using fuzzy complex valued functions and fuzzy complex valued fuzzy measures ([11]) and interval-valued Choquet integrals ([2-6]), we define Choquet integral with respect to a fuzzy complex valued fuzzy measure of a fuzzy complex valued function and investigate some basic properties of them.

In this paper, we consider the Choquet integrals with respect to a capacity and the Choquet integral expected utility (CEU) represented by the preference functionals. In particular, by using the CEU preference functionals, we investigate the evaluation of Korea’s animal exports with the trading partners examined. AMS subject classification: 28E10, 28E20, 03E72, 26E50 11B68.

In this paper, we address the problem of comparing the performances of two popular aggregation operators, the weighted sum and the Choquet integral, for selecting the best alternative among a set of alternatives, all evaluated according to different criteria. While the weighted sum is simple to use and very popular, the Choquet integral is still hard to use in practice but leads theoretically t...

This paper is devoted to the search of Choquet-optimal solutions in finite graph problems with multiple objectives. The Choquet integral is one of the most sophisticated preference models used in decision theory for aggregating preferences on multiple objectives. We first present a condition on preferences (name hereafter preference for interior points) that characterizes preferences favouring ...