Publication details

Monography Chapter

Geometry of Cores of Submodular Coherent Upper Probabilities and Possibility Measures

: Soft Methods for Handling Variability and Imprecision, p. 306-312 , Eds: Dubois Didier, Lubiano M. Asuncion, Prade Henri, Gil Maria Angeles, Grzegorzewski Przemyslaw, Hryniewicz Olgierd

: CEZ:AV0Z10750506

: 1M0572, GA MŠk

: possibility measure, coherent upper probability, core

: http://library.utia.cas.cz/separaty/2008/MTR/kroupa-geometry%20of%20cores%20of%20submodular%20coherent%20upper%20probabilities%20and%20possibility%20measures.pdf

(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.

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

: BA