Evidential reasoning rule for evidence combination

Artificial Intelligence

Volumn 205, Issue , 2013, Pages 1-29

  Yang, Jian Bo ^a   Xu, Dong Ling ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Bayesian inference; Belief distribution; Dempster Shafer theory; Evidential reasoning; Information fusion; Multiple criteria decision analysis

Indexed keywords

BAYESIAN INFERENCE; BELIEF DISTRIBUTION; DEMPSTER-SHAFER THEORY; EVIDENTIAL REASONING; MULTIPLE CRITERIA DECISION ANALYSIS;

BAYESIAN NETWORKS; INFERENCE ENGINES; INFORMATION FUSION; KNOWLEDGE ENGINEERING; OPERATIONS RESEARCH;

RELIABILITY THEORY;

EID: 84887002848     PISSN: 00043702     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.artint.2013.09.003     Document Type: Article

References (47)

1. M.H. Bazerman Judgment in Managerial Decision Making 2006 Harvard University Press
2. M. Beynon DS/AHP method - A mathematical analysis, including an understanding of uncertainty Eur. J. Oper. Res. 140 1 2002 148 164 (Pubitemid 34249693)
3. B.G. Buchanan, and E.H. Shortliffe Rule-Based Expert Systems - The MYCIN Experiments of the Stanford Heuristic Programming Project 1984 Addison-Wesley Reading, MA
4. A.P. Dempster Upper and lower probabilities induced by a multi-valued mapping Ann. Math. Stat. 38 1967 325 339
5. A.P. Dempster A generalization of Bayesian inference J. R. Stat. Soc. Ser. B 30 1968 205 247
6. T. Denoeux, and L.M. Zouhal Handling possibilistic labels in pattern classification using evidential reasoning Fuzzy Sets Syst. 122 3 2001 409 424 (Pubitemid 32610223)
7. T. Denoeux Conjunctive and disjunctive combination of belief functions induced by nondistinct bodies of evidence Artif. Intell. 172 2008 234 264 (Pubitemid 350256729)
8. T. Denoeux, Z. Younes, and F. Abdallah Representing uncertainty on set-valued variables using belief functions Artif. Intell. 174 7-8 2010 479 499
9. D. Dubois, and H. Prade Representation and combination of uncertainty with belief functions and possibility measures Comput. Intell. 4 1988 244 264
10. D. Dubois, and H. Prade Random sets and fuzzy interval analysis Fuzzy Sets Syst. 42 1991 87 101
11. D. Dubois, and H. Prade La fusion d'informations imprécises Trait. Signal 11 6 1994 447 458
12. I.N. Durbach An empirical test of the evidential reasoning approach's synthesis axioms Expert Syst. Appl. 39 2012 11048 11054
13. J. Dezert Foundations for a new theory of plausible and paradoxical reasoning Int. J. Inf. Secur. 9 2002 90 95
14. M.C. Florea, A.L. Jousselme, E. Bossé, and D. Grenier Robust combination rules for evidence theory Inf. Fusion 10 2009 183 197
15. J. Gordon, and E.H. Shortliffe A method for managing evidential reasoning in a hierarchical hypothesis space Artif. Intell. 26 3 1985 323 357 (Pubitemid 15524384)
16. R. Haenni Shedding new light on Zadeh's criticism of Dempster's rule of combination The 7th International Conference on Information Fusion (FUSION) 2005
17. V.N. Huynh, Y. Nakamori, T.B. Ho, and T. Murai Multiple-attribute decision making under uncertainty: the evidential reasoning approach revisited IEEE Trans. Syst. Man Cybern., Part A 36 4 2006 804 822 (Pubitemid 46405308)
18. D. Kahneman Thinking, Fast and Slow, Farrar, Straus and Giroux 1st edition 2011 Penguin Publisher
19. J.H. Kim, and J. Pearl A computational model for causal and diagnostic reasoning in inference systems IJCAI'83 Proceedings of the Eighth International Joint Conference on Artificial Intelligence, vol. 1 1983 190 193 (Pubitemid 14513871)
20. C.H. Lee A comparison of 2 evidential reasoning schemes Artif. Intell. 35 1 1988 127 134
21. E. Lefevre, O. Colot, and P. Vannoorenberghe Belief function combination and conflict management Inf. Fusion 3 2002 149 162
22. S. McClean, and B. Scotney Using evidence theory for knowledge discovery and extraction in distributed databases Int. J. Intell. Syst. 12 1997 763 776 (Pubitemid 127608086)
23. C.K. Murphy Combining belief functions when evidence conflicts Decis. Support Syst. 29 2000 1 9
24. J. Pearl On evidential reasoning in a hierarchy of hypotheses Artif. Intell. 28 1 1986 9 15
25. G. Shafer A Mathematical Theory of Evidence 1976 Princeton University Press Princeton
26. G. Shafer, and J. Pearl Readings in Uncertain Reasoning 1990 Morgan Kaufmann Publishers, Inc. San Mateo, California
27. F. Smarandache, and J. Dezert Proportional conflict redistribution rules for information fusion Florentin Smarandache, Jean Dezert, Advances and Applications of DSmT for Information Fusion, vol. 2 2006 American Research Press Rehoboth 3 68
28. F. Smarandache, J. Dezert, and J.M. Tacnet Fusion of sources of evidence with different importances and reliabilities The 2010 13th IEEE Conference on Information Fusion (FUSION) 2010 1 8
29. P.H. Smets The combination of evidence in the transferable belief model IEEE Trans. Pattern Anal. Mach. Intell. 12 5 1990 447 458
30. P.H. Smets Analyzing the combination of conflicting belief functions Inf. Fusion 8 4 2007 387 412
31. F. Tonon Using random set theory to propagate epistemic uncertainty through a mechanical system Reliab. Eng. Syst. Saf. 85 2004 169 181
32. Y.M. Wang, J.B. Yang, and D.L. Xu The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees Eur. J. Oper. Res. 175 1 2006 35 66
33. D.L. Xu, J.B. Yang, and Y.M. Wang The ER approach for multi-attribute decision analysis under interval uncertainties Eur. J. Oper. Res. 174 3 2006 1914 1943
34. D.L. Xu, G. McCarthy, and J.B. Yang Intelligent decision system and its application in business innovative capability assessment Decis. Support Syst. 42 2006 664 673
35. D.L. Xu Assessment of nuclear waste repository options using the ER approach Int. J. Inf. Technol. Decis. Mak. 8 3 2009 581 607
36. R.R. Yager On the Dempster-Shafer framework and new combination rules Inf. Sci. 41 1987 93 137
37. R.R. Yager Decision making using minimization of regret Int. J. Approx. Reason. 36 2004 109 128
38. J.B. Yang, and M.G. Singh An evidential reasoning approach for multiple attribute decision making with uncertainty IEEE Trans. Syst. Man Cybern. 24 1 1994 1 18
39. J.B. Yang, and P. Sen A general multi-level evaluation process for hybrid MADM with uncertainty IEEE Trans. Syst. Man Cybern. 24 10 1994 1458 1473
40. J.B. Yang Rule and utility based evidential reasoning approach for multiattribute decision analysis under uncertainties Eur. J. Oper. Res. 131 2001 31 61
41. J.B. Yang, and D.L. Xu On the evidential reasoning algorithm for multiattribute decision analysis under uncertainty IEEE Trans. Syst. Man Cybern., Part A, Syst. Hum. 32 3 2002 289 304
42. J.B. Yang, Y.M. Wang, and D.L. Xu The Evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties Eur. J. Oper. Res. 171 1 2006 309 343 (Pubitemid 41690042)
43. J.B. Yang, D.L. Xu, X.L. Xie, and A.K. Maddulapalli Multicriteria evidential reasoning decision modelling and analysis - prioritising voices of customer J. Oper. Res. Soc. 62 2011 1638 1654
44. Z.J. Zhang, J.B. Yang, and D.L. Xu A hierarchical analysis model for multiobjective decision making Analysis, Design and Evaluation of Man-Machine System 1989 1990 Pergamon Oxford, UK 13 18
45. L.A. Zadeh On the validity of Dempster's rule of combination of evidence Technical Report 79/24 1979 University of California Berkeley
46. L.A. Zadeh A mathematical theory of evidence AI Mag. 55 1984 81 83
47. L.A. Zadeh A simple view of the Dempster-Shafer theory of evidence and its implication for the rule of combination AI Mag. 7 1986 85 90