p-symmetric fuzzy measures

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.
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Pedro Miranda, Michel Grabisch, Pedro Gil. p-symmetric fuzzy measures. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, World Scientific Publishing, 2002, 10 (supp01), pp.105-123. ⟨10.1142/s0218488502001867⟩. ⟨hal-00273960⟩

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