Institute of Information Theory and Automation

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Publication details

A partial solution of the possibilistic marginal problem

Conference Paper (international conference)

Vejnarová Jiřina


serial: Proceedings of the Second International Symposium on Imprecise Probabilities and Their Applications, p. 342-351 , Eds: De Cooman G., Fine T. L., Seidenfeld T.

publisher: Shaker, (Maastricht 2001)

action: ISIPTA '01 /2./, (Ithaca, US, 26.06.2001-29.06.2001)

research: AV0Z1075907

project(s): GA201/01/1482, GA ČR, IAA1075104, GA AV ČR

keywords: marginal problem, possibility distributions, triangular norm, conditional independence

abstract (eng):

A possibilistic marginal problem is introduced in a way analogous to probabilistic framework, to address the question of whether or not a common extension exists for a given set of marginal distributions. Similarities and differences between possibilistic and probabilstic marginal problems are demonstrated, concerning necessary and sufficient conditions and sets of solutions. Finally, the operators of composition is introduced and we show howto use them for finding T-product extension.

Cosati: 12A

RIV: BA

2012-12-21 16:10