On the coincidence of the pan-integral and the Choquet integral.

Fuzzy Sets Syst.（2023）

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摘要

We introduce the concept of weak (M)-property of a monotone measure and prove that this condition is not only sufficient, but also necessary for the coincidence of the pan-integral and the Choquet integral on monotone measure spaces. The previous results we obtained are substantially improved. An open problem concerning the weak (M)-property is raised.

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关键词

Monotone measure, (M)-property, Weak (M)-property, Choquet integral, Pan-integral

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