Consistent weights for judgements matrices of the relative importance of alternatives

J. Barzilai; W. D. Cook; B. Golany

doi:10.1016/0167-6377(87)90026-5

Consistent weights for judgements matrices of the relative importance of alternatives

J. Barzilai, W. D. Cook, B. Golany

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent judgements matrices whose entries are the relative importance ratios of alternatives is the geometric mean.

Original language	English
Pages (from-to)	131-134
Number of pages	4
Journal	Operations Research Letters
Volume	6
Issue number	3
DOIs	https://doi.org/10.1016/0167-6377(87)90026-5
State	Published - Jul 1987
Externally published	Yes

Keywords

decision analysis
eigenvector
geometric mean
importance of alternatives
judgement matrices

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1016/0167-6377(87)90026-5

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title = "Consistent weights for judgements matrices of the relative importance of alternatives",

abstract = "We prove that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent judgements matrices whose entries are the relative importance ratios of alternatives is the geometric mean.",

keywords = "decision analysis, eigenvector, geometric mean, importance of alternatives, judgement matrices",

author = "J. Barzilai and Cook, {W. D.} and B. Golany",

note = "Funding Information: * Research supported in part by NSERC Canada grants, nos. A-8802 and A-8966.",

year = "1987",

month = jul,

doi = "10.1016/0167-6377(87)90026-5",

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AU - Cook, W. D.

AU - Golany, B.

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PY - 1987/7

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AB - We prove that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent judgements matrices whose entries are the relative importance ratios of alternatives is the geometric mean.

KW - decision analysis

KW - eigenvector

KW - geometric mean

KW - importance of alternatives

KW - judgement matrices

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JO - Operations Research Letters

JF - Operations Research Letters

IS - 3

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Consistent weights for judgements matrices of the relative importance of alternatives

Abstract

Keywords

ASJC Scopus subject areas

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