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New formulations of law of large numbers and its convergence in the framework of possibility theory (Q2737578)

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scientific article; zbMATH DE number 1645762
Language Label Description Also known as
English
New formulations of law of large numbers and its convergence in the framework of possibility theory
scientific article; zbMATH DE number 1645762

    Statements

    25 September 2002
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    fuzzy arithmetic mean
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    laws of large numbers
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    possibility-probability-transformation
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    New formulations of law of large numbers and its convergence in the framework of possibility theory (English)
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    From a fuzzy arithmetic viewpoint, there are some studies on the limit behaviour of the fuzzy arithmetic mean for \(n=\) number of items to infinity. The results are called laws of large numbers but they have nothing to do with a probabilistic setting. In this paper, the author ``translates'' some of these results in a probabilistic language using a possibility-probability-transformation due to \textit{D. Dubois}, \textit{H. Prade} and \textit{S. Sandri} [in: Proc. 4th IFSA Congr., 50-53 (1991)].NEWLINENEWLINEFor the entire collection see [Zbl 0955.00046].
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    Identifiers