Fuzzy expected value with semiconormed integrals. (Spanish. English summary) Zbl 0659.60005

In this paper we first use the semiconormed fuzzy integrals in order to extend the definition of the fuzzy expected value (F.E.V.) [A. Kandel, On fuzzy statistics, Advances in fuzzy set theory and applications, 181-199 (1979)]. We generalize some of the properties due to Kandel with a criticism about his purpose of constraining the F.E.V. to be linear. Finally, a necessary and sufficient condition is given in order to guarantee some linearity properties for any semiconormed fuzzy integral.


60A99 Foundations of probability theory
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