Interpreting belief functions as dirichlet distributions

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

Volumn 4724 LNAI, Issue , 2007, Pages 393-404

  Jøsang, Audun ^a   Elouedi, Zied ^b  

^a QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

^b Tunisian Institute of Management   (Tunisia)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN NETWORKS; PROBABILISTIC LOGICS; STATISTICAL METHODS;

BELIEF FUNCTIONS; HUMAN COGNITION;

FUNCTION EVALUATION;

EID: 38049123676     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-75256-1_36     Document Type: Conference Paper

References (11)

1. Dempster, A.P.: Upper and lower probabilities induced by a multiple valued mapping. Annals of Mathematical Statistics 38, 325-339 (1967)
2. Gelman, A., et al.: Bayesian Data Analysis, 2nd edn. Chapman and Hall/CRC, Florida (2004)
3. Jøsang, A.: A Logic for Uncertain Probabilities. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 9(3), 279-311 (2001)
4. Jøsang, A.: The Consensus Operator for Combining Beliefs. Artificial Intelligence Journal 142(1-2), 157-170 (2002)
5. Jøsang, A.: Probabilistic Logic Under Uncertainty. In: In the Proceedings of Computing: The Australian Theory Symposium (CATS2007), CRPIT , Ballarat, Australia, vol. 65 (January 2007)
6. Jøsang, A., Marsh, S.: The Cumulative Rule of Belief Fusion. In: The Proceedings of the International Conference on Information Fusion, Quebec, Canada. July 2007 (to appear)
7. Pope, S., Jøsang, A.: Analsysis of Competing Hypotheses using Subjective Logic. In: Proceedings of the 10th International Command and Control Research and Technology Symposium (ICCRTS). United States Department of Defense Command and Control Research Program (DoDCCRP) (2005)
8. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)
9. Smets, Ph.: Belief Functions. In: Smets, Ph., et al. (eds.) Non-Standard Logics for Automated Reasoning, pp. 253-286. Academic Press, London (1988)
10. Utkin, L.V.: Extensions of belief functions and possibility distributions by using the imprecise Dirichlet model. Fuzzy Sets and Systems 154, 413-431 (2005)
11. Walley, P.: Inferences from Multinomial Data: Learning about a Bag of Marbles. Journal of the Royal Statistical Society 58(1), 3-57 (1996)