Fuzzy - Probability Bridge I: Kolmogorov's Fields of Fuzzy Sets

Pavel Provinský


Systems can be described in many ways. A very successful way is a probabilistic description. Another successful way is a description by fuzzy sets. Both of these approaches have some advantages and disadvantages. Our desire is to obtain a description of systems which combine the advantages of the both approaches. The first step towards achieving this goal and the topic of this article is a characterization of such systems of fuzzy sets which satisfy Kolmogorov's axioms.


fuzzy sets, probability, Kolmogorov's axioms, Kolmogorov's fields of fuzzy sets

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DOI: http://dx.doi.org/10.14311/NNW.1901.%25x


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