Comparative study of contradiction measures in the theory of belief functions

15th International Conference on Information Fusion, FUSION 2012

Volumn , Issue , 2012, Pages 271-277

  Smarandache, Florentin ^a   Han, Deqiang ^b   Martin, Arnaud ^c  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b XI'AN JIAOTONG UNIVERSITY   (China)

^c UNIVERSITÉ DE RENNES 1   (France)

Author keywords

belief function; conflict; discord; Evidence theory; uncertainty measure

Indexed keywords

BELIEF FUNCTION; CONFLICT; DISCORD; EVIDENCE THEORIES; UNCERTAINTY MEASURES;

INFORMATION FUSION; NUMERICAL ANALYSIS;

UNCERTAINTY ANALYSIS;

EID: 84867647114     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. G. Shafer, A Mathematical Theory of Evidence, Princeton University, Princeton, 1976.
2. C.E. Shannon, "A mathematical theory of communication", Bell System Technical Journal vol. 27, pp. 379-423, 623-656, 1948.
3. A.L. Jousselme, C.S. Liu, D. Grenier, E. Bosse, "Measuring ambiguity in the evidence theory", IEEE Transactions on Systems, Man and Cybernetics, Part A, vol. 36, no. 5, pp. 890-903, 2006.
4. D. Dubois, H. Prade, "A note on measures of specificity for fuzzy sets", International Journal of General Systems, vol. 10, no. 4, pp. 279-283, 1985.
5. R.V.L. Hartley, "Transmission of information", Bell System Technical Journal vol. 7, pp. 535-563, 1928.
6. D. Harmanec, G.J. Klir, "Measuring total uncertainty in Dempster-Shafer theory", International Journal of General Systems, vol. 22, no. 4, pp. 405-419, 1994.
7. A. Martin, A.-L. Jousselme and C. Osswald, "Conflict measure for the discounting operation on belief functions," Proc. of International Conference on Information Fusion, Cologne, Germany, 30 June-3 July 2008.
8. C. Osswald and A. Martin, "Understanding the large family of Dempster-Shafer theory's fusion operators - a decision-based measure", International Conference on Information Fusion, Florence, Italy, 10-13 July 2006.
9. J. Abellan and A. Masegosa. "Requirements For Total Uncertainty Measures In Dempster-shafer theory Of Evidence", International Journal of General Systems, vol. 37, no. 6, pp. 733-747, 2008.
10. A.-L. Jousselme, D. Grenier, E. Bosse, "A new distance between two bodies of evidence," Information Fusion, vol. 2, no. 2, pp. 91-101, June 2001.
11. F. Smarandache, A. Martin, C. Osswald, "Contradiction measures and specificity degrees of basic belief assignments,". Proc. of 14th International Conference on Information Fusion, Chicago, USA, 2011, pp. 475-482.
12. W.R. Liu. "Analyzing the degree of conflict among belief functions," Artificial Intelligence, vol. 170, no. 11, pp. 909-924, 2006.
13. P. Smets, "The Combination of Evidence in the Transferable Belief Model," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 12, no. 5, pp. 447-458, 1990
14. U. Höhle, "Entropy with respect to plausibility measures". Proceedings of 12th IEEE International Symposium on Multiple-Valued Logic, 1982, pp. 167-169.
15. R. R. Yager, "Entropy and specificity in a mathematical theory of evidence". International Journal of General Systems, vol. 9, no. 4, pp. 249-260, 1983.
16. P. Smets, R. Kennes, "The transferable belief model", Artificial Intelligence, vol. 66, no. 2, pp. 191-234, 1994.
17. G. J. Klir and H. W. Lewis, Remarks on "Measuring Ambiguity in the Evidence Theory", IEEE Transactions on Systems, Man and Cybernetics, Part A, vol. 38, no. 4, pp. 995-999, 2008.
18. A.-L. Jousselme, P. Maupin, "On some properties of distances in evidence theory," in Workshop on Theory of Belief Functions, Brest, France, Mar 31st - Apr 2nd, 2010, pp. 1-6.