Real-valued Choquet integrals for set-valued mappings

Authors:
Yan Huang;Congxin Wu
Affiliations:
-;-
Venue:
International Journal of Approximate Reasoning
Year:
2014

Citing 8
Cited 0

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Abstract

In this paper a new kind of real-valued Choquet integrals for set-valued mappings is introduced, and some elementary properties of this kind of Choquet integrals are studied. Convergence theorems of a sequence of Choquet integrals for set-valued mappings are shown. However, in the case of the monotone convergence theorem of the nonincreasing sequence of Choquet integrals for set-valued mappings, we point out that the integrands must be closed. Specially, this kind of real-valued Choquet integrals for set-valued mappings can be regarded as the Choquet integrals for single-valued functions.