Revisiting the Notion of Conflicting Belief Functions

The problem of conflict measurement between information sources knows a regain of interest. In most works related to this issue, Dempter’s rule plays a central role. In this paper, we propose to revisit conflict from a different perspective. We do not make a priori assumption about dependencies and start from the definition of conflicting sets, studying its possible extensions to the framework of belief functions.

[1]  Philippe Smets,et al.  Analyzing the combination of conflicting belief functions , 2007, Inf. Fusion.

[2]  Christophe Osswald,et al.  Conflict measure for the discounting operation on belief functions , 2008, 2008 11th International Conference on Information Fusion.

[3]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[4]  D. Dubois,et al.  Possibility theory and data fusion in poorly informed environments , 1994 .

[5]  Marco E. G. V. Cattaneo.  Combining Belief Functions Issued from Dependent Sources , 2003, ISIPTA.

[6]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[7]  Philippe Smets,et al.  The Transferable Belief Model , 1994, Artif. Intell..

[8]  Milan Daniel.  Conflicts within and between Belief Functions , 2010, IPMU.

[9]  Didier Dubois,et al.  Idempotent conjunctive combination of belief functions: Extending the minimum rule of possibility theory , 2011, Inf. Sci..

[10]  Michael Clarke,et al.  Symbolic and Quantitative Approaches to Reasoning and Uncertainty , 1991, Lecture Notes in Computer Science.

[11]  Eyke Hüllermeier,et al.  Computational Intelligence for Knowledge-Based Systems Design, 13th International Conference on Information Processing and Management of Uncertainty, IPMU 2010, Dortmund, Germany, June 28 - July 2, 2010. Proceedings , 2010, IPMU.

[12]  Weiru Liu,et al.  Analyzing the degree of conflict among belief functions , 2006, Artif. Intell..

[13]  Fabio Cuzzolin.  On Consistent Approximations of Belief Functions in the Mass Space , 2011, ECSQARU.