p-Symmetric fuzzy measures

Authors:
Pedro Miranda;Michel Grabisch;Pedro Gil
Affiliations:
Universidad de Oviedo, Calvo Sotelo, s/n. 33007 Oviedo, Spain;Université Pierre et Marie Curie-LIP6, 8, rue du Capitaine Scott, 75015 Paris, France;Universidad de Oviedo, Calvo Sotelo, s/n. 33007 Oviedo, Spain
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2002

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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.