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Pseudo-additive measures and integrals. (English) Zbl 0611.28010

We suggest pseudo-additive measures based on a pseudo-addition and discuss integrals with respect to pseudo-additive measures. A pseudo- additive measure is a special type of fuzzy measures. To define an integral, a multiplication corresponding to a pseudo-addition is introduced. The resulting integral is an extension of the Lebesgue integral. In this context, Radon-Nikodým-like theorems are shown.

MSC:

28E10 Fuzzy measure theory
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