A Generalization of Dempster ' s Rule for CombiningBelief :
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D numbers theory: a generalization of Dempster-Shafer theory
Dempster-Shafer theory is widely applied to uncertainty modelling and knowledge reasoning due to its ability of expressing uncertain information. However, some conditions, such as exclusiveness hypothesis and completeness constraint, limit its development and application to a large extend. To overcome these shortcomings in Dempster-Shafer theory and enhance its capability of representing uncert...
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One of the prevalent commentary rules about commentary of the historical verses which has a certain revelation occasion and refers to a specific time and place is the rule of alibrah being stated as: take in consideration universality of the word not particularity of the occasion. The source of this rule refers to the verses which have universal word and particular occasion. The referent of the...
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Combiningmultiple sources of information is a major and di cult task in the management of uncertainty Dempster s combination rule is one of the attractive approaches However many researchers have pointed out that the application domains of the rule are rather limited and it sometimes gives unexpected results In this paper we have further explored the nature of combination and achieved the follo...
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Brief introductions to both Dempster-Shafer and DSm theories are presented. Classical belief conditioning is recalled and generalized to DSm hyper-power sets. Relation of generalization of classic conditioning rules to belief conditioning defined in DSmT is discussed. c ©2008 World Academic Press, UK. All rights reserved.
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In this paper, five conditions that have been proposed by Cobb and Shenoy are studied for nine different mappings from the Dempster-Shafer theory to the probability theory. After comparing these mappings, one of the considerable results indicates that none of the mappings satisfies the condition of invariance with respect to the marginalization process. In more details, the main reason for this...
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