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An integral generated by a decomposable measure. (English) Zbl 0754.28002
The paper is motivated by investigations of fuzzy measures [cf., e.g., H. Ichihaschi, H. Tanaka and K. Asai, J. Math. Anal. Appl. 130, No. 2, 354-364 (1988; Zbl 0656.28013]. It deals with pseudo-measures ( pseudo-additive set functions). The construction of Lebesgue measure is used for the generation of a pseudo-additive functional (called integral).

MSC:
28A25 Integration with respect to measures and other set functions
28E10 Fuzzy measure theory
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