Choquet operators associated to vector capacities
Sorin G. Gal, Constantin P. Niculescu
TL;DR
This paper introduces a new integral representation for Choquet operators on C(X) using the Choquet-Bochner integral with vector capacities, expanding the theoretical framework of nonlinear integrals.
Contribution
It establishes a novel integral representation of Choquet operators via the Choquet-Bochner integral, linking vector capacities to these operators.
Findings
Provides a new theoretical foundation for Choquet operators.
Connects vector capacities with integral representations.
Enhances understanding of nonlinear integral operators.
Abstract
The integral representation of Choquet operators defined on a space C(X) is established by using the Choquet-Bochner integral of a real-valued function with respect to a vector capacity.
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