p-Symmetric fuzzy measures

TL;DR

This paper introduces p-symmetric fuzzy measures, a generalized form of symmetric fuzzy measures based on partitioning the universal set into indifference subsets, exploring their properties, integrals, and interactions.

Contribution

It proposes a novel generalization of symmetric fuzzy measures using indifference subsets, expanding theoretical understanding and analysis of their properties and interactions.

Findings

Properties of p-symmetric fuzzy measures studied

Choquet integral for these measures analyzed

Interaction degree between indifference subsets defined

Abstract

In this paper we propose a generalization of the concept of symmetric fuzzy measure based in a decomposition of the universal set in what we have called subsets of indifference. Some properties of these measures are studied, as well as their Choquet integral. Finally, a degree of interaction between the subsets of indifference is defined.