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Measure extension from meet-systems and falling measures representation

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Statistical Modeling, Analysis and Management of Fuzzy Data

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 87))

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Abstract

A renewed measure extension theorem is presented in this paper which extends measure from a meet-system M to B,the σ-algebra generated from M. And based on it, the falling measures representation theorems are given.

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© 2002 Springer-Verlag Berlin Heidelberg

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Wang, P.Z., Chen, Y.C., Low, B.T. (2002). Measure extension from meet-systems and falling measures representation. In: Bertoluzza, C., Gil, MÁ., Ralescu, D.A. (eds) Statistical Modeling, Analysis and Management of Fuzzy Data. Studies in Fuzziness and Soft Computing, vol 87. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1800-0_10

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  • DOI: https://doi.org/10.1007/978-3-7908-1800-0_10

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2501-5

  • Online ISBN: 978-3-7908-1800-0

  • eBook Packages: Springer Book Archive

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