An elementary proof of Paelinck’s theorem on the convex hull of ranked criterion weights. (English) Zbl 0727.90040

Claessens, M. N. A. J.; Lootsma, F. A.; Vogt, F. J.

Eur. J. Oper. Res. 52, No. 2, 255-258 (1991).

Summary: J. H. P. Paelinck’s theorem [see “Qualitative multiple-criteria analysis, environmental protection and multi-regional development”, Eur. Meet. Regional Sci. Assoc., Budapest 1975, Memorandum Erasmus Univ. Rotterdam, The Netherlands (1975)] provides a simple characterization of the set of possible criterion weights when only the rank order of the criteria is known. Methods for multicriteria analysis based on this theorem are sometimes able to identify a preferred alternative without numerical estimates of these weights. We provide a new, elementary proof of the theorem.

MSC:

90B50

Management decision making, including multiple objectives

Keywords:

criterion weights; multicriteria analysis

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