Choquet integral with respect to a regular non-additive measure

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 22 Feb 2005Publisher:IEEEJournal:2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542), volume 1, pages 517-521

Authors: Yasuo Narukawa; Toshiaki Murofushi;

doi: 10.1109/fuzzy.2004.1375786

Choquet integral with respect to a regular non-additive measure

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Abstract

In this paper, some properties of two types of regular non-additive measure are studied. The various regularities are arranged and their correlation is clarified. The properties reflected by the Choquet integral with respect to a regular fuzzy measure are stated. The representation theorem of some functional and the approximation theorem of Choquet integral of integrable function are presented.

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Institute of Science Tokyo
Japan

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