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Titlebook: Statistical Modeling, Analysis and Management of Fuzzy Data; Carlo Bertoluzza,María-Ángeles Gil,Dan A. Ralescu Book 2002 Springer-Verlag B

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The structure of fuzzy measure families induced by upper and lower probabilitiesradditive measures, and it is found that these measures can be represented by sums of primitive measures. It gives a possibility us to get important results due to algebraic structure of fuzzy measures on the finite algebra and to generalize the well-known theorems of the probability theory.
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Fuzziness and randomnessThis paper presents a survey and some new results of the mathematical investigation into formal connections between two types of uncertainty: fuzziness and randomness.
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Convergence in graph for fuzzy valued martingales and smartingalesIn this paper, we introduce the concept of convergence in graph for fuzzy-valued random variables, give an equivalent definition and then obtain convergence theorems for fuzzy-valued martingales, submartingales and supermartingales based on the results of our previous papers (Li and Ogura, 1996, 1998, 1999).
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Average level of a fuzzy setIn this paper the average level set of a fuzzy set is defined on the basis of the Kudo-Aumann integral of a set-valued mapping. Some properties of the average level as well as its particularization for some special cases are analyzed.
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