scholarly journals Preference Elicitation with Uncertainty: Extending Regret Based Methods with Belief Functions

Author(s):  
Pierre-Louis Guillot ◽  
Sebastien Destercke
2009 ◽  
Author(s):  
Tanja F. Blackstone ◽  
Jerry C. Crabb ◽  
Frederick L. Oswald

Author(s):  
Jianping Fan ◽  
Jing Wang ◽  
Meiqin Wu

The two-dimensional belief function (TDBF = (mA, mB)) uses a pair of ordered basic probability distribution functions to describe and process uncertain information. Among them, mB includes support degree, non-support degree and reliability unmeasured degree of mA. So it is more abundant and reasonable than the traditional discount coefficient and expresses the evaluation value of experts. However, only considering that the expert’s assessment is single and one-sided, we also need to consider the influence between the belief function itself. The difference in belief function can measure the difference between two belief functions, based on which the supporting degree, non-supporting degree and unmeasured degree of reliability of the evidence are calculated. Based on the divergence measure of belief function, this paper proposes an extended two-dimensional belief function, which can solve some evidence conflict problems and is more objective and better solve a class of problems that TDBF cannot handle. Finally, numerical examples illustrate its effectiveness and rationality.


4OR ◽  
2021 ◽  
Author(s):  
Alexandru-Liviu Olteanu ◽  
Khaled Belahcene ◽  
Vincent Mousseau ◽  
Wassila Ouerdane ◽  
Antoine Rolland ◽  
...  

Author(s):  
Orakanya Kanjanatarakul ◽  
Philai Lertpongpiroon ◽  
Sombat Singkharat ◽  
Songsak Sriboonchitta

2016 ◽  
Vol 46 (1) ◽  
pp. 93-108 ◽  
Author(s):  
Deqiang Han ◽  
Jean Dezert ◽  
Zhansheng Duan

2013 ◽  
Vol 14 (4) ◽  
pp. 504-520 ◽  
Author(s):  
Anthony Fiche ◽  
Jean-Christophe Cexus ◽  
Arnaud Martin ◽  
Ali Khenchaf

2013 ◽  
Vol 62 (3) ◽  
pp. 555-568 ◽  
Author(s):  
Felipe Aguirre ◽  
Mohamed Sallak ◽  
Walter Schon

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