Abstract
New techniques are presenled to reduce the number of feasible alternatives in certain multiple criteria subset selection problems, thereby making it less difficult to find a good subset. The class of m-best alternatives problems is defined and the relation between dominance and potential optimalily explored in the context of this class. A program is proposed to identify whether an individually dominated alternative can belong to an optimal subset satisfying certain pre-specified constraints. The extension of the proposed method to multi-objective knapsack problems is considered. Two examples illustrate the screening procedure for m-best alternatives problems and multi-objective knapsack problems.
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