Soft Methods for Handling Variability and Imprecision

0311992 - ÚTIA 2009 RIV DE eng M - Monography Chapter
Kroupa, Tomáš
Geometry of Cores of Submodular Coherent Upper Probabilities and Possibility Measures.
[Geometrie jádra koherentních horních pravděpodobností a posibilit.]
Soft Methods for Handling Variability and Imprecision. Berlin Heidelberg: Springer-Verlag, 2008 - (Dubois, D.; Lubiano, M.; Prade, H.; Gil, M.; Grzegorzewski, P.; Hryniewicz, O.), s. 306-312. Advances in Soft Computing, 48. ISBN 978-3-540-85026-7
R&D Projects: GA MŠMT 1M0572
Institutional research plan: CEZ:AV0Z10750506
Keywords : possibility measure * coherent upper probability * core
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2008/MTR/kroupa-geometry%20of%20cores%20of%20submodular%20coherent%20upper%20probabilities%20and%20possibility%20measures.pdf

We study and review geometrical properties of the set of the prob- abilities dominated by a submodular coherent upper probability (a possibility measure, in particular) on a finite set. We mention that there exists a polynomial algorithm for vertex enumeration. A new upper bound for the number of vertices in case of possibility measures is derived.

V práci jsou studovány geometrické vlastnosti množiny pravděpodobnostních měr dominované koherentní horní pravděpodobností na konečné množině.
Permanent Link: http://hdl.handle.net/11104/0163173