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Conditioning on MV-Algebras and Additive Measures, Further Results

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Fuzzy Sets, Logics and Reasoning about Knowledge

Part of the book series: Applied Logic Series ((APLS,volume 15))

Abstract

In probability theory the conditional probability of an event a given an event b is introduced as the normalized (ordinary) probability of a, restricted to the (fixed) subuniverse b, i.e. as the quotient \(\frac{{m(a \cap b)}}{{m(b)}}\) for m(b) > 0, and can be interpreted as the ‘(probability of a) given b’ rather than as ‘probability of (a given b)’, because such conditional events ‘a given b’ were not defined.

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© 1999 Springer Science+Business Media Dordrecht

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Weber, S. (1999). Conditioning on MV-Algebras and Additive Measures, Further Results. In: Dubois, D., Prade, H., Klement, E.P. (eds) Fuzzy Sets, Logics and Reasoning about Knowledge. Applied Logic Series, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1652-9_12

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  • DOI: https://doi.org/10.1007/978-94-017-1652-9_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5324-4

  • Online ISBN: 978-94-017-1652-9

  • eBook Packages: Springer Book Archive

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