Fuzzy probability spaces defined by means of the fuzzy relation ''less than'' (Q1083105)

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scientific article; zbMATH DE number 3975972
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Fuzzy probability spaces defined by means of the fuzzy relation ''less than''
scientific article; zbMATH DE number 3975972

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    Fuzzy probability spaces defined by means of the fuzzy relation ''less than'' (English)
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    1986
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    In this paper a fuzzy relation ''less than'' and fuzzy probability spaces on the real line are defined. Fuzzy \(\sigma\)-algebras of events are introduced in an analogous way to the classical theory of probability by means of the above relation. Furthermore, specific properties of the fuzzy probability measures presented here are given.
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    fuzzy Borel interval
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    fuzzy random variable
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    extension of fuzzy probability measure
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    fuzzy relation
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    fuzzy probability spaces
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    fuzzy probability measures
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