Possibilistic Evidence

Possibilistic Evidence
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DOI:
10.1007/978-3-642-22152-1_60
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发表时间:
2011-06
期刊:
--
影响因子:
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通讯作者:
H. Prade;Agnès Rico
H. Prade;Agnès Rico
中科院分区:
其他
文献类型:
--
作者:
H. Prade;Agnès Rico

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The paper investigates a qualitative counterpart of Shafer’s evidence theory, where the basicprobabilityassignment is turned into a basicpossibilityassignment whose weights have 1 as a maximum. The associated set functions, playing the role of belief, plausibility, commonality, and the dual of the latter, are now defined on a “maxitive”, rather than on an additive basis. Although this possibilistic evidence setting has been suggested for a long time, and has a clear relation with the study of qualitative Möbius transforms, it has not been really systematically studied and considered for itself as a general qualitative representation framework. It can be viewed as defining imprecise possibilities, and encompasses standard possibilitistic representations as a particular case. The paper particularly focuses on a generalized set-theoretic view of this setting and discusses the entailment relation between basic possibility assignments as well as combination rules.