Can the minimum rule of possibility theory be extended to belief functions?

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5590 LNAI, Issue , 2009, Pages 299-310

  Destercke, Sébastien ^a   Dubois, Didier ^b  

^a CIRAD   (France)

^b IRIT   (France)

Author keywords

Belief functions; Fusion; Idempotence; Possibility

Indexed keywords

BELIEF FUNCTION; BELIEF FUNCTIONS; DEMPSTER RULE OF COMBINATION; FUSION; FUSION PROCESS; IDEMPOTENCE; POSSIBILITY; POSSIBILITY THEORY;

MERGING;

EID: 69049108894     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-02906-6_27     Document Type: Conference Paper

References (19)

1. Augustin, Th.: Generalized basic probability assignments. I. J. of General Systems 34(4), 451-463 (2005)
2. Cattaneo, M.: Combining belief functions issued from dependent sources. In: Proc. Third International Symposium on Imprecise Probabilities and Their Application (ISIPTA 2003), Lugano, Switzerland, pp. 133-147 (2003)
3. Chateauneuf, A.: Combination of compatible belief functions and relation of specificity. In: Advances in the Dempster-Shafer theory of evidence, pp. 97-114. John Wiley & Sons, Inc., New York (1994)
4. Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics 38, 325-339 (1967)
5. Denoeux, T.: Reasoning with imprecise belief structures. I. J. of Approximate Reasoning 20, 79-111 (1999)
6. Denoeux, T.: Conjunctive and disjunctive combination of belief functions induced by non-distinct bodies of evidence. Artificial Intelligence 172, 234-264 (2008)
7. Destercke, S., Dubois, D., Chojnacki, E.: Cautious conjunctive merging of belief functions. In: Proc. Eur. Conf. on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, pp. 332-343 (2007)
8. Dubois, D., Prade, H.: A set-theoretic view on belief functions: logical operations and approximations by fuzzy sets. I. J. of General Systems 12, 193-226 (1986)
9. Dubois, D., Prade, H.: Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press, New York (1988)
10. Dubois, D., Prade, H.: Fuzzy sets, probability and measurement. European Journal of Operational Research 40, 135-154 (1989)
11. Dubois, D., Prade, H.: Consonant approximations of belief functions. I. J. of Approximate reasoning 4, 419-449 (1990)
12. Dubois, D., Prade, H., Smets, P.: A definition of subjective possibility. I. J. of Approximate Reasoning 48, 352-364 (2008)
13. Dubois, D., Yager, R.R.: Fuzzy set connectives as combination of belief structures. Information Sciences 66, 245-275 (1992)
14. Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer Academic Publisher, Dordrecht (2000)
15. Moral, S., Sagrado, J.: Aggregation of imprecise probabilities. In: Bouchon-Meunier, B. (ed.) Aggregation and Fusion of Imperfect Information, pp. 162-188. Physica-Verlag, Heidelberg (1997)
16. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, New Jersey (1976)
17. Smets, P.: Analyzing the combination of conflicting belief functions. Information Fusion 8, 387-412 (2006)
18. Smets, P., Kennes, R.: The transferable belief model. Artificial Intelligence 66, 191-234 (1994)
19. Walley, P.: Statistical reasoning with imprecise Probabilities. Chapman and Hall, New York (1991)