An approach for preference ranking of alternatives
type: Item
instance of: scholarly article
title: An approach for preference ranking of alternatives
zbMATH Open document ID: 0621.90004
DOI: 10.1016/S0377-2217(87)80176-5
author: Zahid Y. Khairullah
author: Stanley Zionts
published in: European Journal of Operational Research
publication date: 1987-01-01T00:00:00Z
review text: The authors present a method for determining the preference of a set of alternatives based on pairwise quantitative comparisons. Considering, at least formally, the family of pairwise 'degrees of preference' obtained from the decision-maker, as conditional probabilities, the authors construct a probability measure they interpret as the 'relative preference' of each alternative over the rest. As the decision-maker is presumably not entirely coherent nor precise in his evaluations, the 'relative preference' is determined as a probability at minimal distance of the decision-maker's degrees of preference. The authors' approach as tested and compared to a few other algorithms on a set of 20 randomly generated multicriteria problems for which a 'true' utility function is assumed. Indications are also provided for selecting alternatives for pairwise comparisons.
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 90B50
zbMATH DE Number: 4008051
zbMATH Keywords: multiple criteria
zbMATH Keywords: preference ranking
zbMATH Keywords: binary choice
zbMATH Keywords: pairwise quantitative comparisons
zbMATH Keywords: degrees of preference
zbMATH Keywords: conditional probabilities
reviewed by: Philippe Vincke
MaRDI profile type: Publication
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full work available at URL: s0377-2217(87)80176-5
OpenAlex ID: W2087622428
description: scientific article; zbMATH DE number 4008051