English

p-Symmetric fuzzy measures

Discrete Mathematics 2008-12-18 v1

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.

Cite

@article{arxiv.0804.2642,
  title  = {p-Symmetric fuzzy measures},
  author = {Pedro Miranda and Michel Grabisch and Pedro Gil},
  journal= {arXiv preprint arXiv:0804.2642},
  year   = {2008}
}
R2 v1 2026-06-21T10:31:42.436Z