Troffaes, Matthias (2009) 'Finite approximations to coherent choice.', International journal of approximate reasoning., 50 (4). pp. 655-665.
This paper studies and bounds the effects of approximating loss functions and credal sets on choice functions, under very weak assumptions. In particular, the credal set is assumed to be neither convex nor closed. The main result is that the effects of approximation can be bounded, although in general, approximation of the credal set may not always be practically possible. In case of pairwise choice, I demonstrate how the situation can be improved by showing that only approximations of the extreme points of the closure of the convex hull of the credal set need to be taken into account, as expected.
|Keywords:||Decision making, E-admissibility, Maximality, Numerical analysis, Lower prevision, Sensitivity analysis.|
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||http://dx.doi.org/10.1016/j.ijar.2008.07.001|
|Publisher statement:||NOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Approximate Reasoning. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Approximate Reasoning, 50, 4, 2009, 10.1016/j.ijar.2008.07.001.|
|Date accepted:||No date available|
|Date deposited:||17 October 2014|
|Date of first online publication:||April 2009|
|Date first made open access:||No date available|
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