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Regular version of the site

Article

Sensitivity analysis for choice problems with partial preference relations

European Journal of Operational Research. 2012. Vol. 221. No. 1. P. 198-204.

In this paper we consider choice problems under the assumption that the preferences of the decision maker are expressed in the form of a parametric partial weak order without assuming the existence of any value function. We investigate both the sensitivity (stability) of each non-dominated solution with respect to the changes of parameters of this order, and the sensitivity of the set of non-dominated solutions as a whole to similar changes. We show that this type of sensitivity analysis can be performed by employing techniques of linear programming.