Set choice problems with incomplete information about the preferences of the decision maker |
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Authors: | Vladislav V. Podinovski |
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Affiliation: | State University – Higher School of Economics, Myasnitskaya 20, Moscow 101000, Russia |
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Abstract: | We consider the problem of selecting a predetermined number of objects from a given finite set. It is assumed that the preferences of the decision maker on this set are only partially known. Our solution approach is based on the notions of optimal and non-dominated subsets. The properties of such subsets and the objects they contain are investigated. The implementation of the developed approach is discussed and illustrated by various examples. |
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Keywords: | Set choice problem Preference relation Decision making Incomplete information Partial quasi-order |
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