The conjunctive combination of interval-valued belief structures from dependent sources

International Journal of Approximate Reasoning

Volumn 53, Issue 5, 2012, Pages 769-785

  Fu, Chao ^a,b,c   Yang, Shanlin ^a,b  

^a HEFEI UNIVERSITY OF TECHNOLOGY   (China)

^b BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^c University of South Carolina   (United States)

Author keywords

Dempster Shafer theory; Dependent sources; Non dogmatic interval valued belief structures; Nonlinear optimization; Trustworthiness evaluation of hospital information system

Indexed keywords

ANHUI PROVINCE; BELIEF FUNCTION; BELIEF STRUCTURES; DEMPSTER-SHAFER THEORY; EVALUATION PROBLEMS; HOSPITAL INFORMATION SYSTEMS; INTERVAL-VALUED; NON-LINEAR OPTIMIZATION; NON-LINEAR OPTIMIZATION PROBLEMS; OPTIMIZATION PROBLEMS; RELATIVE WEIGHTS;

HOSPITALS; INFORMATION SYSTEMS; UNCERTAINTY ANALYSIS;

OPTIMIZATION;

EID: 84862809502     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2012.01.004     Document Type: Article

References (48)

1. A. Aregui, and T. Denoeux Constructing consonant belief functions from sample data using confidence sets of pignistic probabilities International Journal of Approximate Reasoning 49 3 2008 575 594
2. A. Avizienis, J.C. Laprie, and B. Randell Dependability and Its Threats: A Taxonomy 2004 Springer-Verlag Boston pp. 91-120
3. A. Avizienis, J.C. Laprie, B. Randell, and C. Landwehr Basic concepts and taxonomy of dependable and secure computing IEEE Transactions on Dependable and Secure Computing 1 1 2004 11 33
4. Y.S. Dai, M. Xie, and S.H. Ng Uncertainty analysis in software reliability modeling by bayesian with maximum-entropy principle IEEE Trans on Software Engineering 33 1 2007 781 795
5. T.A. Delong, D.T. Smith, and B.W. Johnson Dependability metrics to assess safety-critical systems IEEE Trans on Reliability 54 3 2005 498 505
6. A.P. Dempster Upper and lower probabilities induced by a multivalued mapping Annals of Mathematical Statistics 38 1967 325 339
7. A.P. Dempster The Dempster-Shafer calculus for statisticians International Journal of Approximate Reasoning 48 2 2008 365 377
8. T. Denoeux Reasoning with imprecise belief structures International Journal of Approximate Reasoning 20 1 1999 79 111
9. T. Denoeux Modeling vague beliefs using fuzzy-valued belief structures Fuzzy Sets and Systems 116 2 2000 167 199
10. T. Denoeux Conjunctive and disjunctive combination of belief functions induced by non distinct bodies of evidence Artificial Intelligence 172 2-3 2008 234 264
11. T. Denoeux Extending stochastic ordering to belief functions on the real line Information Sciences 179 9 2009 1362 1376
12. T. Denoeux, Z. Younes, and F. Abdallah Representing uncertainty on set-valued variables using belief functions Artificial Intelligence 174 7-8 2010 479 499
13. Department of Applied Mathematics in Tongji University, Higher Mathematics, sixth ed., Higher Education Press, Beijing, 2007.
14. C. Fu, and S.L. Yang The group consensus based evidential reasoning approach for multiple attributive group decision analysis European Journal of Operational Research 206 3 2010 601 608
15. C. Fu, S.L. Yang, and H. Luo Analyzing the degree of consistency among evidence from different sources Systems Engineering-Theory & Practice 29 5 2009 166 174
16. W. Hasselbring, and R. Reussner Toward trustworthy software systems IEEE Computer 39 4 2006 91 92
17. V. Jeffrey, and P. Jeffery Dependability certification of software components The Journal of Systems and Software 52 2-3 2000 165 172
18. V. Jeffrey Trusted software's holy grail Software Quality Journal 11 1 2003 9 17
19. H.W. Jung, S.G. Kim, and C.S. Chung Measuring software product quality: A survey of ISO/IEC 9126 IEEE Software 21 5 2004 88 92
20. A. Kallel, and S.L. Hégarat-Mascle Combination of partially non-distinct beliefs: The cautious-adaptive rule International Journal of Approximate Reasoning 50 7 2009 1000 1021
21. J. Klein, C. Lecomte, and P. Miché Hierarchical and conditional combination of belief functions induced by visual tracking International Journal of Approximate Reasoning 51 4 2010 410 428
22. E.S. Lee, and Q. Zhu An interval Dempster-Shafer approach Computers and Mathematics with Application 24 7 1992 89 95
23. T.C. Lin Switching-based filter based on Dempster's combination rule for image processing Information Sciences 180 24 2010 4892 4908
24. D. Mercier, B. Quost, and T. Denoeux Refined modeling of sensor reliability in the belief function framework using contextual discounting Information Fusion 9 2 2008 246 258
25. P.A. Monney, M. Chan, and P. Romberg A belief function classifier based on information provided by noisy and dependent features International Journal of Approximate Reasoning 52 3 2011 335 352
26. R. Muñoz-Salinas, R. Medina-Carnicer, F.J. Madrid-Cuevas, and A. Carmona-Poyato Multi-camera people tracking using evidential filters International Journal of Approximate Reasoning 50 5 2009 732 749
27. A.. Öler, and A.Y. Odabai A new fuzzy multiple attributive group decision making methodology and its application to propulsion/manoeuvring system selection problem European Journal of Operational Research 166 1 2005 93 114
28. R. Roberts, and P. Goodwin Weight approximations in multi-attribute decision models Journal of Multi-Criteria Decision Analysis 11 6 2002 291 303
29. G. Shafer A Mathematical Theory of Evidence 1976 Princeton University Press Princeton, New Jeresy
30. G. Shafer A betting interpretation for probabilities and Dempster-Shafer degrees of belief International Journal of Approximate Reasoning 52 2 2011 127 136
31. P. Smets, The canonical decomposition of a weighted belief, in: Int. Joint Conf. on Artificial Intelligence, Morgan Kaufman, San Mateo, CA, 1995, pp. 1896-1901.
32. P. Smets, Combining nondistinct evidence, in: International Conference of the North American Fuzzy Information Processing Society (NAFIPS'86), New Orleans, USA, 1986, pp. 544-549.
33. P. Smets Analyzing the combination of conflicting belief functions Information Fusion 8 4 2007 387 412
34. P. Smets, and K. Kennes The transferable belief model Artificial Intelligence 66 2 1994 191 234
35. B. Steffen, H. Wilhelm, P. Alexandra, B. Marko, K. Heiko, and P. Jan Trustworthy software systems: a discussion of basic concepts and terminology ACM SIGSOFT Software Engineering Notes archive 31 6 2006 1 18
36. H. Tanaka, K. Sugihara, and Y. Maeda Non-additive measures by interval probability functions Information Sciences 164 1-4 2004 209 227
37. Y.M. Wang, and T.M.S. Elhag On the normalization of interval and fuzzy weights Fuzzy Sets and Systems 157 18 2006 2456 2471
38. Y.M. Wang, J.B. Yang, and D.L. Xu Environmental impact assessment using the evidential reasoning approach European Journal of Operational Research 174 3 2006 1885 1913
39. Y.M. Wang, J.B. Yang, D.L. Xu, and K.S. Chin The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees European Journal of Operational Research 175 1 2006 35 66
40. Y.M. Wang, J.B. Yang, D.L. Xu, and K.S. Chin On the combination and normalization of interval-valued belief structures Information Sciences 177 5 2007 1230 1247
41. Y.G. Wu, J.Y. Yang, K. Liu, and L.J. Liu On the evidence inference theory Information Sciences 89 3-4 1996 245 260
42. R.R. Yager Dempster-Shafer belief structures with interval valued focal weights International Journal of Intelligent Systems 16 4 2001 497 512
43. R.R. Yager Comparing approximate reasoning and probabilistic reasoning using the Dempster-Shafer framework International Journal of Approximate Reasoning 50 5 2009 812 821
44. S.L. Yang, and C. Fu Constructing confidence belief functions from one expert Expert Systems with Applications 36 4 2009 8537 8548
45. J.B. Yang, and D.L. Xu On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans 32 3 2002 289 304
46. J.B. Yang, and D.L. Xu Nonlinear information aggregation via evidential reasoning in multiattribute decision analysis under uncertainty IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans 32 3 2002 376 393
47. L. Zadeh A mathematical theory of evidence (book review) AI Magazine 5 3 1984 81 83
48. L. Zadeh A simple view of the Dempster-Shafer theory of evidence and its implication for the rule of combination AI Magazine 7 2 1986 85 90