A distance function to support optimized selection decisions

doi:10.1016/j.dss.2004.01.001

A distance function to support optimized selection decisions

2005-05-01

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DOI：10.1016/j.dss.2004.01.001

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Abstract

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Decision-makers often want to see a diverse collection of good solutions in addition to a solution that is in some mathematical sense an optimal solution to a problem. The purpose of the objective function is to quantify the notion good, while the purpose of this paper is to exhibit a suitable function for quantifying the notion diverse. We focus on the case where important aspects of the solutions are best represented as matrices or sets of vectors, such as when the solution involves selections. We establish a distance function and its connections with related distance functions used in optimization and psychology. A real-world application illustrates its use for decision support. (c) 2004 Elsevier B.V. All rights reserved.

Keywords:

solution variety

solution similarity

sets of solution

vectors

filtration

A distance function to support optimized selection decisions

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