A Similarity Measure between Basic Belief Assignments

A similarity measure between the focal elements used on a distance function of two basic belief assignments in the theory of evidence is presented, making way for the application of classical classification algorithms in this field. The properties of this measure are particular to its context, considering the characteristics of the focal elements, their relationship with each other and their proximity to the vacuous belief function that represents the state of total ignorance

[1]  G. Nason,et al.  A statistical multiscale approach to image segmentation and fusion , 2005, 2005 7th International Conference on Information Fusion.

[2]  Johan Schubert On nonspecific evidence , 1993, Int. J. Intell. Syst..

[3]  Thierry Denoeux,et al.  EVCLUS: evidential clustering of proximity data , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[4]  Bernadette Bouchon-Meunier,et al.  Towards general measures of comparison of objects , 1996, Fuzzy Sets Syst..

[5]  Qi Liu,et al.  Combining belief functions based on distance of evidence , 2004, Decis. Support Syst..

[6]  Amihai Motro,et al.  Uncertainty Management in Information Systems: From Needs to Solution , 1996 .

[7]  Branko Ristic,et al.  The TBM global distance measure for the association of uncertain combat ID declarations , 2006, Inf. Fusion.

[8]  Éloi Bossé,et al.  A new distance between two bodies of evidence , 2001, Inf. Fusion.

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

[10]  I. C. Lerman,et al.  Les bases de la classification automatique , 1971 .

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

[12]  Johan Schubert Creating Prototypes for Fast Classification in Dempster-Shafer Clustering , 1997, ECSQARU-FAPR.

[13]  A. Tversky Features of Similarity , 1977 .

[14]  Feng Du,et al.  EDTs: Evidential Decision Trees , 2005, FSKD.

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

[16]  Malcolm James Beynon,et al.  The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule Within Group Decision Making , 2006 .

[17]  Bjørnar Tessem,et al.  Approximations for Efficient Computation in the Theory of Evidence , 1993, Artif. Intell..

[18]  Guo Guirong,et al.  Measuring evidential consistence by a generalized relative entropy , 1995, Proceedings of the IEEE 1995 National Aerospace and Electronics Conference. NAECON 1995.