Non-conflicting and conflicting parts of belief functions

ISIPTA 2011 - Proceedings of the 7th International Symposium on Imprecise Probability: Theories and Applications

Volumn , Issue , 2011, Pages 149-158

  Daniel, Milan ^a  

^a INSTITUTE OF COMPUTER SCIENCE   (Czech Republic)

Author keywords

Belief function; Conflict between belief functions; Conflicting part of belief function; Dempster's semigroup; Dempster shafer theory; Non conflicting part of belief function; Uncertainty

Indexed keywords

PROBABILISTIC LOGICS;

BELIEF FUNCTION; CONFLICT BETWEEN BELIEF FUNCTIONS; DEMPSTER'S SEMIGROUP; DEMPSTER-SHAFER THEORY; UNCERTAINTY;

UNCERTAINTY ANALYSIS;

EID: 84859957867     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (22)

1. R. G. Almond: Graphical Belief Modeling. Chapman & Hall, London, 1995.
2. A. Ayoun, Ph. Smets: Data association in multi-target detection using the transferable belief model. International Journal of Intelligent Systems 16 (10): 1167-1182, 2001.
3. B. R. Cobb, P. P. Shenoy: A Comparison of Methods for Transforming Belief Functions Models to Probability Models. In: Nielsen, T. D., Zhang, N. L. (eds.) ECSQARU 2003. LNAI 2711: 255-266. Springer, Heidelberg, 2003.
4. M. Daniel: Algebraic structures related to Dempster-Shafer theory. In B. Bouchon-Meunier, R. R. Yager, and L. A. Zadeh (eds.), Advances in Intelligent Computing - IPMU'94. LNCS 945: 51-61. Springer-Verlag, Berlin Heidelberg, 1995.
5. M. Daniel: Distribution of Contradictive Belief Masses in Combination of Belief Functions. In: B. Bouchon-Meunier, R. R. Yager, L. A. Zadeh (eds.) Information, Uncertainty and Fusion, pp. 431-446. Kluwer Acad. Publ., Boston, 2000.
6. M. Daniel: Algebraic Structures Related to the Combination of Belief Functions. Scientiae Mathematicae Japonicae 60 (2): 245-255, 2004.
7. Sci. Math. Jap. Online 10: 501-511, 2004.
8. M. Daniel: Probabilistic Transformations of Belief Functions. In: Godo, L. (ed.) Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2005). LNAI 3571: 539- 551. Springer, Heidelberg, 2005.
9. M. Daniel: New Approach to Conflicts within and between Belief Functions. Technical report V-1062, ICS AS CR, Prague, 2009.
10. M. Daniel: Conflicts within and between Belief Functions. In: E. Hüllermeier, R. Kruse, E. Hoffmann (eds.) IPMU 2010. LNAI 6178: 696-705. Springer-Verlag, Berlin Heidelberg, 2010.
11. M. Daniel: Conflicts of Belief Functions. Technical report V-1108, ICS AS CR, Prague, 2011.
12. D. Dubois, H. Prade: Representation an combination of uncertainty with belief functions and possibility measures. Computational Intelligence, 4: 244-264, 1988.
13. D. Dubois, H. Prade: Consonant Approximations of Belief Functions. International Journal of Approximate Reasoning 4: 419-449, 1990.
14. R. Haenni: Aggregating Referee Scores: an Algebraic Approach. COMSOC'08, 2nd International Workshop on Computational Social Choice, Liverpool, UK, 2008.
15. P. Hájek, T. Havránek, R. Jirousek: Uncertain Information Processing in Expert Systems. CRC Press, Boca Raton, Florida, 1992.
16. P. Hájek, J. J. Valdés: Generalized algebraic foundations of uncertainty processing in rulebased expert systems (dempsteroids). Computers and Artif. Intell. 10 (1): 29-42, 1991.
17. W. Liu: Analysing the degree of conflict among belief functions. Artificial Intelligence 170: 909-924, 2006.
18. G. Shafer: A Mathematical Theory of Evidence. Princeton University Press, New Jersey, 1976.
19. Ph. Smets: The combination of evidence in the transferable belief model. IEEE-Pattern analysis and Machine Intelligence 12: 447-458, 1990.
20. Ph. Smets: Analyzing the combination of conflicting belief functions. Information Fusion 8: 387-412, 2007.
21. J. J. Valdés: Algebraic and logical foundations of uncertainty processing in rule-based expert systems of Artificial Intelligence. PhD Thesis, Czechoslovak Academy of Sci., Prague, 1987.
22. R. R. Yager: On the Demspter-Shafer framework and new combination rules. Information Sciences, 41: 93-138, 1987.