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p-symmetric fuzzy measures

Miranda Menéndez, Pedro and Grabisch, Michel and Gil, Pedro (2002) p-symmetric fuzzy measures. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 10 (Sup.). pp. 105-123. ISSN 0218-4885

Official URL: http://www.worldscinet.com/ijufks/10/10supp01/S0218488502001867.html

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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.


Item Type:Article
Uncontrolled Keywords:fuzzy measures; Choquet integral; symmetry; OWA operator; ordered weighted aggregation operator
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:17091
Deposited On:13 Nov 2012 09:46
Last Modified:13 Nov 2012 09:46

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