Extension of belief functions to infinite-valued events

被引：6
|
作者：
Kroupa, Tomas [1 ]
机构：
[1] ASCR, Inst Informat Theory & Automat, Prague 18208, Czech Republic
来源：
SOFT COMPUTING | 2012年 / 16卷 / 11期
关键词：
Belief function; MV-algebra; Choquet integral; Lukasiewicz logic; Mobius transform;
D O I：
10.1007/s00500-012-0836-2
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We generalise belief functions to many-valued events which are represented by elements of Lindenbaum algebra of infinite-valued Aukasiewicz propositional logic. Our approach is based on mass assignments used in the Dempster-Shafer theory of evidence. A generalised belief function is totally monotone and it has Choquet integral representation with respect to a unique belief measure on Boolean events.
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页码：1851 / 1861
页数：11
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