On Random Sets Independence and Strong Independence in Evidence Theory

0387908 - ÚTIA 2013 RIV DE eng C - Conference Paper (international conference)
Vejnarová, Jiřina
On Random Sets Independence and Strong Independence in Evidence Theory.
Belief Functions: Theory and Applications. Heidelberg: Springer, 2012 - (Denoeux, T.; Masson, M.), s. 247-254. Advances in Intelligent and Soft Computing, 164. ISBN 978-3-642-29460-0. ISSN 1867-5662.
[2nd International Conference on Belief Functions. Compiegne (FR), 09.05.2012-11.05.2012]
R&D Projects: GA ČR GAP402/11/0378
Institutional support: RVO:67985556
Keywords : evidence theory * independence
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2013/MTR/vejnarova-on random sets independence and strong independence in evidence theory.pdf

Belief and plausibility functions can be viewed as lower and upper probabilities possessing special properties. Therefore, (conditional) independence concepts from the framework of imprecise probabilities can also be applied to its sub-framework of evidence theory. In this paper we concentrate ourselves on random sets independence, which seems to be a natural concept in evidence theory, and strong independence, one of two principal concepts (together with epistemic independence) in the framework of credal sets. We show that application of trong independence to two bodies of evidence generally leads to a model which is Beyond the framework of evidence theory. Nevertheless, if we add a condition on resulting focal elements, then strong independence reduces to random sets independence. Unfortunately, it is not valid no more for conditional independence.
Permanent Link: http://hdl.handle.net/11104/0217947