The Radon-Nikodým theorem for fuzzy probability spaces

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Abstract

In the present paper, we prove the Radon-Nikodým theorem for fuzzy probability spaces. Its proof depends on general methods for handling observables which enable us to formulate and to prove many interesting results of probability theory, as, for example, the completeness of Lpspaces, the conditional mean value, etc. © 1992.

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Dvurečenskij, A. (1992). The Radon-Nikodým theorem for fuzzy probability spaces. Fuzzy Sets and Systems, 45(1), 69–78. https://doi.org/10.1016/0165-0114(92)90092-I

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