The consensus operator for combining beliefs

The consensus operator provides a method for combining possibly conflicting beliefs within the Dempster-Shafer belief theory, and represents an alternative to the traditional Dempster's rule. This paper describes how the consensus operator can be applied to dogmatic conflicting opinions, i.e. when the degree of conflict is very high. It overcomes shortcomings of Dempster's rule and other operators that have been proposed for combining possibly conflicting beliefs.

[1]  G. Casella,et al.  Statistical Inference , 2003, Encyclopedia of Social Network Analysis and Mining.

[2]  Audun Jøsang,et al.  A Logic for Uncertain Probabilities , 2001, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[3]  Audun Jøsang,et al.  Legal reasoning with subjective logic , 2004, Artificial Intelligence and Law.

[4]  Philippe Smets Non-standard logics for automated reasoning , 1988 .

[5]  Philippe Smets,et al.  Belief Functions versus Probability Functions , 1988, IPMU.

[6]  Catherine K. Murphy Combining belief functions when evidence conflicts , 2000, Decis. Support Syst..

[7]  Alessandro Saffiotti,et al.  The Transferable Belief Model , 1991, ECSQARU.

[8]  R. Yager On the dempster-shafer framework and new combination rules , 1987, Inf. Sci..

[9]  Gert de Cooman,et al.  Supremum Preserving Upper Probabilities , 1999, Inf. Sci..

[10]  Marvin S. Cohen An Expert System Framework for Non-monotonic Reasoning About Probabilistic Assumptions , 1985, UAI.

[11]  Ronald Fagin,et al.  Two Views of Belief: Belief as Generalized Probability and Belief as Evidence , 1992, Artif. Intell..

[12]  Alessandro Saffiotti,et al.  Belief functions and default reasoning , 1995, Artif. Intell..

[13]  Audun Jøsang,et al.  An Algebra for Assessing Trust in Certification Chains , 1999, NDSS.

[14]  O. Colot,et al.  A generic framework for resolving the conflict in the combination of belief structures , 2000, Proceedings of the Third International Conference on Information Fusion.

[15]  Henri Prade,et al.  Representation and combination of uncertainty with belief functions and possibility measures , 1988, Comput. Intell..

[16]  L. N. Kanal,et al.  Uncertainty in Artificial Intelligence 5 , 1990 .

[17]  Audun J sang,et al.  An Algebra for Assessing Trust in Certi cation Chains , 1998 .

[18]  Smets Ph.,et al.  Belief functions, Non-standard logics for automated reasoning , 1988 .

[19]  Lotfi A. Zadeh,et al.  Review of A Mathematical Theory of Evidence , 1984 .

[20]  Carl-Axel S. Staël von Holstein,et al.  The Concept of Probability in Psychological Experiments , 1974 .

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

[22]  Philippe Smets,et al.  The Transferable Belief Model for Quantified Belief Representation , 1998 .

[23]  Dov M. Gabbay,et al.  Handbook of defeasible reasoning and uncertainty management systems: volume 2: reasoning with actual and potential contradictions , 1998 .

[24]  Bruno de Finetti,et al.  The Value of Studying Subjective Evaluations of Probability , 1974 .