On Random Sets Independence and Strong Independence in Evidence Theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00387908" target="_blank" >RIV/67985556:_____/12:00387908 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-29461-7_29" target="_blank" >http://dx.doi.org/10.1007/978-3-642-29461-7_29</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-29461-7_29" target="_blank" >10.1007/978-3-642-29461-7_29</a>

Result language
angličtina
Original language name
On Random Sets Independence and Strong Independence in Evidence Theory
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GAP402%2F11%2F0378" target="_blank" >GAP402/11/0378: Aggregation of knowledge and expectations in the models of mathematical economics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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