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On the management of information imperfection in knowledge based systems Read chapter Read first chapter

1987 | ReviewPaper | Chapter

Derivation of some results on monotone capacities by Mobius inversion

Authors : Alain Chateauneuf, Jean-Yves Jaffray

Published in: Uncertainty in Knowledge-Based Systems

Publisher: Springer Berlin Heidelberg

Included in: Professional Book Archive

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Monotone capacities are characterized by properties of their Möbius inverses. A necessary property of probabilities dominating a given capacity is given. It is shown to be also sufficient if and only if the capacity is monotone of infinite order. A characterization of dominating probabilities specific to capacities or order 2 is also proved.

previous chapter Approximate inference and interval probabilities
next chapter Using probability-density functions in the framework of evidential reasoning
Metadata
Title
Derivation of some results on monotone capacities by Mobius inversion
Authors
Alain Chateauneuf
Jean-Yves Jaffray
Copyright Year
1987
Publisher
Springer Berlin Heidelberg
Book
Uncertainty in Knowledge-Based Systems

Print ISBN: 978-3-540-18579-6

Electronic ISBN: 978-3-540-48020-4

Copyright Year: 1987

DOI
https://doi.org/10.1007/3-540-18579-8_8