Evidence based decision analysis and support

The evidential reasoning (ER) approach was developed to support multiple criteria decision analysis (MCDA). It is based on the Dampster's combination rule for criteria aggregation and belief function for treating ignorance. In the original ER approach, however, alternative ranking depends on the accurate estimation of a value function, which may be difficult in certain decision environments. In this paper, the link and difference between the ER algorithm and Dampster's combination rule are analysed first. A new alternative ranking method is then investigated as an integrated part of the enhanced ER approach.

[1]  Ronald R. Yager,et al.  Decision making using minimization of regret , 2004, Int. J. Approx. Reason..

[2]  Sally McClean,et al.  Using evidence theory for the integration of distributed databases , 1997, Int. J. Intell. Syst..

[3]  Jian-Bo Yang,et al.  The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties , 2006, Eur. J. Oper. Res..

[4]  Malcolm J. Beynon,et al.  DS/AHP method: A mathematical analysis, including an understanding of uncertainty , 2002, Eur. J. Oper. Res..

[5]  Jian-Bo Yang,et al.  On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty , 2002, IEEE Trans. Syst. Man Cybern. Part A.

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

[7]  Jian-Bo Yang,et al.  The evidential reasoning approach for multi-attribute decision analysis under interval uncertainty , 2006, Eur. J. Oper. Res..

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

[9]  Jian-Bo Yang,et al.  The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees , 2006, Eur. J. Oper. Res..

[10]  M. Singh,et al.  An Evidential Reasoning Approach for Multiple-Attribute Decision Making with Uncertainty , 1994, IEEE Trans. Syst. Man Cybern. Syst..

[11]  Thierry Denoeux,et al.  Handling possibilistic labels in pattern classification using evidential reasoning , 2001, Fuzzy Sets Syst..

[12]  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.

[13]  Jian-Bo Yang,et al.  Rule and utility based evidential reasoning approach for multiattribute decision analysis under uncertainties , 2001, Eur. J. Oper. Res..