Geometry of Cores of Submodular Coherent Upper Probabilities and Possibility Measures

Monography Chapter

Kroupa Tomáš

serial: Soft Methods for Handling Variability and Imprecision , Eds: Dubois Didier, Lubiano M. Asuncion, Prade Henri, Gil Maria Angeles, Grzegorzewski Przemyslaw, Hryniewicz Olgierd

research: CEZ:AV0Z10750506

project(s): 1M0572GA MŠk

keywords: possibility measure, coherent upper probability, core

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abstract (eng):

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.

abstract (cze):

V práci jsou studovány geometrické vlastnosti množiny pravděpodobnostních měr dominované koherentní horní pravděpodobností na konečné množině.

RIV: BA