Clustering decomposed belief functions using generalized weights of conflict

International Journal of Approximate Reasoning

Volumn 48, Issue 2, 2008, Pages 466-480

  Schubert, Johan ^a  

^a SWEDISH DEFENCE RESEARCH AGENCY   (Sweden)

Author keywords

Belief function; Clustering; Decomposition; Dempster Shafer theory; Generalized weight of conflict; Inverse simple support functions; Non consonant belief function; Pseudo belief function; Simulated annealing

Indexed keywords

APPROXIMATION ALGORITHMS; CLUSTERING ALGORITHMS; CONSTRAINT THEORY; SIMULATED ANNEALING;

BELIEF FUNCTIONS; DEMPSTER SHAFER THEORY; GENERALIZED WEIGHT OF CONFLICT; INVERSE SIMPLE SUPPORT FUNCTIONS; NON CONSONANT BELIEF FUNCTIONS; PSEUDO BELIEF FUNCTION;

FUNCTIONAL ANALYSIS;

EID: 42649129359     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2007.03.002     Document Type: Article

References (21)

1. J. Schubert, Managing decomposed belief functions, in: Proceedings of the 11th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, Paris, France, 2006, vol. 2, pp. 1428-1435.
2. Bengtsson M., and Schubert J. Dempster-Shafer clustering using Potts spin mean field theory. Soft Computing 5 3 (2001) 215-228
3. Schubert J. On nonspecific evidence. International Journal of Intelligent Systems 8 6 (1993) 711-725
4. Schubert J. Specifying nonspecific evidence. International Journal of Intelligent Systems 11 8 (1996) 525-563
5. J. Schubert, Managing inconsistent intelligence, in: Proceedings of the 3rd International Conference on Information Fusion, Paris, France, 2000, vol. 1, pp. TuB4/10-16.
6. Dempster A.P. A generalization of Bayesian inference. Journal of the Royal Statistical Society Series B 30 2 (1968) 205-247
7. Shafer G. A Mathematical Theory of Evidence (1976), Princeton University Press, Princeton, NJ
8. Smets P., and Kennes R. The transferable belief model. Artificial Intelligence 66 2 (1994) 191-234
9. Schubert J. Clustering belief functions based on attracting and conflicting metalevel evidence. In: Bouchon-Meunier B., Foulloy L., and Yager R.R. (Eds). Intelligent Systems for Information Processing: From Representation to Applications (2003), Elsevier, Amsterdam 349-360
10. Schubert J. Clustering belief functions based on attracting and conflicting metalevel evidence using Potts spin mean field theory. Information Fusion 5 4 (2004) 309-318
11. P. Smets, The canonical decomposition of a weighted belief, in: Proceedings of the 14th International Joint Conference on Artificial Intelligence, Montréal, Canada, 1995, vol. 2, pp. 1896-1901.
12. J. Schubert, H. Sidenbladh, Sequential clustering with particle filtering estimating the number of clusters from data, in: Proceedings of the 8th International Conference on Information Fusion, Philadelphia, PA, 2005, Paper A4-3, pp. 1-8.
13. S. Salvador, P. Chan, Determining the number of clusters/segments in hierarchical clustering/segmentation algorithms, in: Proceedings of the 16th IEEE International Conference on Tools with Artificial Intelligence, Boca Raton, FL, 2004, pp. 576-584.
14. Informationssystem Flygvapnet version 1.0 (IS FV II 1.0A), Swedish Armed Forces, 2002.
15. Ahlberg S., Hörling P., Johansson K., Jöred K., Kjellström H., Mårtenson C., Neider G., Schubert J., Svenson P., Svensson P., and Walter J. An information fusion demonstrator for tactical intelligence processing in network-based defense. Information Fusion 8 1 (2007) 84-107
16. P. Smets, Analyzing the combination of conflicting belief functions, Information Fusion, in press, doi:10.1016/j.inffus.2006.04.003.
17. Kennes R. Computational aspects of the Möbius transformation of graphs. IEEE Transactions on Systems, Man, and Cybernetics 22 2 (1992) 201-223
18. Wu F.Y. The Potts model. Reviews of Modern Physics 54 1 (1982) 235-268
19. Peterson C., and Söderberg B. A new method for mapping optimization problems onto neural networks. International Journal of Neural Systems 1 1 (1989) 3-22
20. P. Smets, TBMLAB 3.1, 2004, March. [Online]. Available: http://iridia.ulb.ac.be/~psmets/#G.
21. P. Smets, Personal communication, 2000.