Dominance-based Rough Set Approach to decision under uncertainty and time preference

Dominance-based Rough Set Approach to decision under uncertainty and time preference

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Article ID: iaor20103211
Volume: 176
Issue: 1
Start Page Number: 41
End Page Number: 75
Publication Date: Apr 2010
Journal: Annals of Operations Research
Authors: , ,
Keywords: rough sets
Abstract:

We consider a problem of decision under uncertainty with outcomes distributed over time. We propose a rough set model based on a combination of time dominance and stochastic dominance. For the sake of simplicity we consider the case of traditional additive probability distribution over the set of states of the world, however, we show that the model is rich enough to handle non-additive probability distributions, and even qualitative ordinal distributions. The rough set approach gives a representation of decision maker's time-dependent preferences under uncertainty in terms of ‘if…, then…’ decision rules induced from rough approximations of sets of exemplary decisions.

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