V. V. Podinovski, “Forming a collection of the best objects at partial information about preferences”, Artificial Intelligence and Decision Making, 2008, Issue 4,Pages <nobr>3

Optimal choice

Forming a collection of the best objects at partial information about preferences

V. V. Podinovski

State University – Higher School of Economics

Abstract: We suggest a rigorous state of the problem of forming a collection including the prescribed number of the most preferable elements from the given finite set of objects when the partial quasi-order is defined on it. We investigate properties of the optimal and non-dominated collections and properties of objects which are the members of such collections.

Keywords: subset choice, partial preference relation, optimal collections, nоn-dominated collections, l-optimal objects, l-non-dominated objects.