A comparison of Bayesian and belief function reasoning

被引:49
作者
Cobb, BR [1 ]
Shenoy, PP [1 ]
机构
[1] Univ Kansas, Sch Business, Lawrence, KS 66045 USA
关键词
Bayesian networks; Dempster-Shafer belief functions; valuation-based systems;
D O I
10.1023/B:ISFI.0000005650.63806.03
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The goal of this paper is to compare the similarities and differences between Bayesian and belief function reasoning. Our main conclusion is that although there are obvious differences in semantics, representations, and the rules for combining and marginalizing representations, there are many similarities. We claim that the two calculi have roughly the same expressive power. Each calculus has its own semantics that allow us to construct models suited for these semantics. Once we have a model in either calculus, one can transform it to the other by means of a suitable transformation.
引用
收藏
页码:345 / 358
页数:14
相关论文
共 28 条
[11]   RISK, AMBIGUITY, AND THE SAVAGE AXIOMS [J].
ELLSBERG, D .
QUARTERLY JOURNAL OF ECONOMICS, 1961, 75 (04) :643-669
[12]   LINEAR UTILITY-THEORY FOR BELIEF FUNCTIONS [J].
JAFFRAY, JY .
OPERATIONS RESEARCH LETTERS, 1989, 8 (02) :107-112
[13]  
Jensen F. V., 1990, Computational Statistics Quarterly, V5, P269
[14]  
JSHENOY PP, 1994, INT J APPROX REASON, V10, P203
[15]  
LAURITZEN SL, 1988, J ROY STAT SOC B MET, V50, P157
[16]   INDEPENDENCE PROPERTIES OF DIRECTED MARKOV-FIELDS [J].
LAURITZEN, SL ;
DAWID, AP ;
LARSEN, BN ;
LEIMER, HG .
NETWORKS, 1990, 20 (05) :491-505
[17]   FUSION, PROPAGATION, AND STRUCTURING IN BELIEF NETWORKS [J].
PEARL, J .
ARTIFICIAL INTELLIGENCE, 1986, 29 (03) :241-288
[18]  
Pearl P, 1988, PROBABILISTIC REASON, DOI DOI 10.1016/C2009-0-27609-4
[19]  
SHAFER G, 1982, J ROY STAT SOC B MET, V44, P322
[20]  
SHAFER G, 1990, AUDITING J PRACTICE