An elementary proof of Paelinck’s theorem on the convex hull of ranked criterion weights

An elementary proof of Paelinck’s theorem on the convex hull of ranked criterion weights

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Article ID: iaor1993607
Country: Netherlands
Volume: 52
Issue: 2
Start Page Number: 255
End Page Number: 258
Publication Date: May 1991
Journal: European Journal of Operational Research
Authors: , ,
Abstract:

Paelinck’s theorem provides a simple characterization of the set of possible criterion weights when only the rank order of the criteria is known. Methods for multi-criteria analysis based on this theorem are sometimes able to identify a preferred alternative without numerical estimates of these weights. The authors provide a new, elementary proof of the theorem.

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