Uncover Dempster's rule where it is hidden

2006 9th International Conference on Information Fusion, FUSION

Volumn , Issue , 2006, Pages

  Haenni, Rolf ^a  

^a UNIVERSITY OF BERN   (Switzerland)

Author keywords

Belief functions; Dempster's rule; Discounting; Disjunctive rule of combination; Open world assumption; Subjective logic

Indexed keywords

DATA FUSION; FUSION REACTIONS; INFORMATION FUSION; NUCLEAR PHYSICS; SENSOR DATA FUSION;

BELIEF FUNCTIONS; DEMPSTER; DEMPSTER'S RULE; DEMPSTER-SHAFER THEORY; DISCOUNTING; DISJUNCTIVE RULE OF COMBINATION; INTERNATIONAL CONFERENCES; OPEN WORLD ASSUMPTION; SUBJECTIVE LOGIC; TOOLS AND TECHNIQUES;

FORMAL LOGIC;

EID: 50149084921     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIF.2006.301675     Document Type: Conference Paper

References (24)

1. A. F. Dempster. Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics, 38:325-339, 1967.
2. A. P. Dempster. A generalization of Bayesian inference. Journal of the Royal Statistical Society, 30:205 247, 1968.
3. G. Shafer. A Mathematical Theory of Evidence. Princeton University Press, 1976.
4. J. Kohlas. Information Algebras: Generic Stuctures for Inference. Springer, London, 2003.
5. J. Kohlas and P. A. Monney. A Mathematical Theory of Hints. An Approach to the Dempster-Shafer Theory of Evidence, volume 425 of Lecture Notes in Economics and Mathematical Systems. Springer, 1995.
6. J. Kohlas. Probabilistic argumentation systems: A new way to combine logic with probability. Journal of Applied Logic, 1(3-4):225-253, 2003.
7. R. Haenni. Towards a unifying theory of logical and probabilistic reasoning. In F. B. Cozman, R. Nau, and T. Seidenfeld, editors, ISIPTA'05, 4th International Symposium on Imprecise Probabilities and Their Applications, pages 193-202, Pittsburgh, USA, 2005.
8. P. Smets and R. Kennes. The transferable belief model. Artificial Intelligence, 66:191-234, 1994.
9. G. Shafer, P. P. Shenoy, and K. Mellouli. Propagating belief functions in qualitative Markov trees. International Journal of Approximate Reasoning, 1(4):349-400, 1987.
10. P. P. Shenoy and G. Shafer. Axioms for probability and belief function propagation. In G. Shafer and J. Pearl, editors, Readings in Uncertain Reasoning, pages 575-610. Morgan Kaufmann, San Mateo, USA, 1990.
11. R. Haenni and N. Lehmann. Belief function propagation based on Shenoy's fusion algorithm. In IPMU'00, 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pages 1928 1931, Madrid, Spain, 2000.
12. R. Haenni and N. Lehmann. Implementing belief function computations, international Journal of Intelligent Systems, Special Issue on the Dempster-Shafer Theory of Evidence, 18(1):31 49, 2003.
13. P. Smets. Belief functions: the disjunctive rule of combination and the generalized bayesian theorem. International Journal of Approximate Reasoning, 9:1-35, 1993.
14. A. Jøsarig. Trust-based decision making for electronic transactions. In L. Yngström and T. Svensson, editors, NORDSEC'99: Fourth Nordic Workshop on Secure IT Systems, Stockholm, Sweden, 1999.
15. D. Mercier, B. Quost, and T. Denoeux. Contextual discounting of belief functions. In L. Godo, editor, ECSQARU'05, 8th European Conference on Symbolic and Quantitative Approaches to Reasoning under Uncertainty, LNCS 3571, pages 552-562, Barcelona, Spain, 2005.
16. D. Dubois and H. Prade. A set-theoretic view of belief functions: Logical operations and approximations by fuzzy sets. International Journal of General Systems, 12:193-226, 1986.
17. P. Smets. Belief functions and the transferable belief model. In G. de Cooman, P. Walley, F. G. Cozman, and M. Zaffalon, editors, The Imprecise Probabilities Project. IPP Home Page, available at http://ippserv.rug.ac.be, 2000.
18. R. Haenni. Shedding new light on Zadeh's criticism of Dempster's rule of combination. In FUSION'05, 8th International Conference on Information Fusion, Philadelphia, USA, 2005.
19. A. Jøsang. Artificial reasoning with subjective logic. In A. C. Nayak and M. Pagnucco, editors, 2nd Australian Workshop on Commonsense Reasoning, Perth, Australia, 1997.
20. M. Ginsberg. Non-monotonic reasoning using Dempster's rule. In R. J. Brachman, editor, AAAI'84, 4th National Conference on Artificial Intelligence, pages 112-119, Austin, USA, 1984.
21. P. Hájek and J. J. Valdês. Generalized algebraic approach to uncertainty processing in rule-based expert systems (dempsteroids). Computers and Artificial Intelligence, 10:29-42, 1991.
22. P. Hájek, T. Havránek, and R. Jiroušek. Uncertain Information Processing in Expert Systems. CRC Press, Boca Raton, USA, 1992.
23. M. Daniel. Algebraic structures related to Dempster-Shafer theory. In B. Bouchon-Meunier, R. R. Yager, and L. A. Zadeh, editors, IPMU'94: 5th International Conference on Processing and Management of Uncertainty in Knowledge-Based Systems, pages 51-61, Paris, France, 1994.
24. O. Bottema. On the area of a triangle in barycentric coordinates. Crux Mathematicorum, 8:228-231, 1982.