A framework for managing uncertain inputs: An axiomization of rewarding

International Journal of Approximate Reasoning

Volumn 52, Issue 7, 2011, Pages 917-934

  Ma, Jianbing ^a   Liu, Weiru ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

Belief merging; Belief revision; Epistemic state; Iterated revision; Ordinal conditional function; Rewarding operator

Indexed keywords

BELIEF MERGING; BELIEF REVISION; EPISTEMIC STATE; ITERATED REVISION; ORDINAL CONDITIONAL FUNCTION; REWARDING OPERATOR;

GEMS;

MERGING;

EID: 80052399652     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2011.05.004     Document Type: Article

References (40)

1. C.E. Alchourrón, P. Gärdenfors, and D. Makinson On the logic of theory change: partial meet functions for contraction and revision Symbolic Logic 50 1985 510 530
2. S. Benferhat, D. Dubois, H. Prade, and M. Williams A framework for revising belief bases using possibilistic counterparts of jeffrey's rule Fundamenta Informaticae 11 2009 1 18
3. S. Benferhat, and L. Garcia Handling locally stratified inconsistent knowledge bases Studia Logica 70 1 2002 77 104
4. S. Benferhat, S. Konieczny, O. Papini, and R.P. Pérez Iterated revision by epistemic states: axioms, semantics and syntax Proc. of ECAI'00 2000 13 17
5. R. Booth, and T. Meyer Admissible and restrained revision Artificial Intelligence Research 26 2006 127 151 (Pubitemid 44452209)
6. R. Booth, T. Meyer, and K.S. Wong A bad day surfing is better than a good day working: how to revise a total preorder Proc. of KR 2006 230 238
7. C. Boutilier, N. Friedman, and J.Y. Halpern Belief revision with unreliable observations Proc. of 15th AAAI 1998 127 134
8. A. Darwiche, and J. Pearl On the logic of iterated belief revision Artificial Intelligence 89 1997 1 29 (Pubitemid 127412229)
9. J. Delgrande, D. Dubois, and J. Lang Iterated revision as prioritized merging Proc. of KR'06 2006 210 220
10. D. Dubois, and J. Koning Social choice axioms for fuzzy set aggregation Fuzzy Sets and Systems 43 1991 257 274
11. D. Dubois, S. Moral, and H. Prade Belief Change Rules in Ordinal and Numerical Uncertainty Theories vol. 3 1998 Kluwer Academic Publication 311 392
12. A. Fuhrmann, and S.O. Hansson A survey of multiple contractions Journal of Logic, Language and Information 3 1994 39 76
13. M. Goldszmidt, and J. Pearl Reasoning with qualitative probabilities can be tractable Proc. of UAI 1992 112 120
14. S.O. Hansson A survey of non-prioritized belief revision Erkenntnis 50 2-3 1999 413 427
15. A. Herzig, S. Konieczny, and L. Perrussel On iterated revision in the agm framework Proc. of ECSQARU'03 2003 477 488 (Pubitemid 36904928)
16. A. Hunter, and S. Konieczny Shapley inconsistency values Proc. of KR'06 2006 249 259
17. R. Jeffrey The Logic of Decision second ed. 1983 Chicago University Press
18. Y. Jin, and M. Thielscher Iterated belief revision, revised Artificial Intelligence 171 2007 1 18 (Pubitemid 46073930)
19. H. Katsuno, and A.O. Mendelzon Propositional knowledge base revision and minimal change Artificial Intelligence 52 1991 263 294
20. G. Kern-Isberner Handling conditionals adequately in uncertain reasoning and belief revision Journal of Applied Non-Classical Logics 12 2 2002 215 237
21. G. Kern-Isberner A thorough axiomatization of a principle of conditional preservation in belief revision Annals of Mathematics and Artificial Intelligence 40 1-2 2004 127 164 (Pubitemid 38103549)
22. S. Konieczny, and R. Pino-Pérez On the logic of merging Proc. of KR'98 1998 488 498
23. N. Laverny, and J. Lang From knowledge-based programs to graded belief based programs, part i: on-line reasoning Synthese 147 2 2005 277 321 (Pubitemid 41768735)
24. J. Ma, and W. Liu Modeling belief change on epistemic states Proc. of 22th Flairs 2009 AAAI Press 553 558
25. J. Ma, W. Liu, and S. Benferhat A belief revision framework for revising epistemic states with partial epistemic states Proc. of AAAI'10 2010 333 338
26. T. Meyer Merging epistemic states Proc. of PRICAI 2000 286 296
27. K. Mu, W. Liu, and Z. Jin A general framework for measuring inconsistency through minimal inconsistent sets Knowledge and Information Systems 27 1 2011 85 114
28. A.C. Nayak Iterated belief change based on epistemic entrenchment Erkenntnis 41 1994 353 390
29. A.C. Nayak, M. Pagnucco, and P. Peppas Dynamic belief revision operators Artificial Intelligence 146 2003 193 228
30. W. Spohn Ordinal conditional functions: a dynamic theory of epistemic states Causation in Decision, Belief Change, and Statistics 2 1988 105 134
31. J.M. Vickers, Values and beliefs about them, 2001. Available from: .
32. B. Walliser, and D. Zwirn Change rules for hierarchical beliefs International Journal of Approximate Reasoning 52 2 2011 166 183
33. E. Weydert General belief measures Proc. of UAI 1994 Morgan Kaufmann 575 582
34. E. Weydert System jz - how to build a canonical ranking model of a default knowledge base Proc. of KR 1998 Morgan Kaufman 190 201
35. E. Weydert, Jzbr - iterated belief change for conditional ranking constraints, in: Spinning Ideas: Electronic Essays Dedicated to Peter Grdenfors on his 50th Birthday, 1999. Available from: .
36. E. Weydert System jlz - rational default reasoning by minimal ranking constructions Journal of Applied Logic 1 3-4 2003 273 308 (Pubitemid 41155193)
37. E. Weydert Projective default epistemology - a first look Conditionals, Information, and Inference LNAI vol. 3301 2005 Springer 65 85 (Pubitemid 41421648)
38. M.A. Williams Transmutations of knowledge systems Proc. of KR'94 1994 619 629
39. D. Zhang Belief revision by sets of sentences Journal of Computer Science and Technology 11 2 1996 1 19
40. D. Zhang, S. Chen, W. Zhu, and H. Li Representation theorems for multiple belief changes Proc. of IJCAI'97 1997 89 94