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Coincidences of the concave integral and the pan-integral. (English) Zbl 1456.28010

Summary: In this note, we discuss when the concave integral coincides with the pan- integral with respect to the standard arithmetic operations \(+\) and \(\cdot\). The subadditivity of the underlying monotone measure is a sufficient condition for this equality. We show also another sufficient condition, which, in the case of finite spaces, is necessary, too.

MSC:

28E10 Fuzzy measure theory
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