WEAK CONSISTENCY AND QUASI-LINEAR MEANS IMPLY THE ACTUAL RANKING

DOI10.1142/S0218488502001454zbMath1052.62025MaRDI QIDQ4824614

L. Basile, Livia D'Apuzzo

Publication date: 1 November 2004

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

zbMATH Keywords

rankingpairwise comparisons matrixquasi-linear means

Mathematics Subject Classification ID

Statistical ranking and selection procedures (62F07) Basic linear algebra (15A99) Paired and multiple comparisons; multiple testing (62J15)

Related Items (9)

Transitive matrices, strict preference order and ordinal evaluation operators ⋮ Ensuring reliability of the weighting vector: weak consistent pairwise comparison matrices ⋮ Deriving weights from a pairwise comparison matrix over an alo-group ⋮ Additively reciprocal fuzzy pairwise comparison matrices and multiplicative fuzzy priorities ⋮ Reciprocal transitive matrices over abelian linearly ordered groups: characterizations and application to multi-criteria decision problems ⋮ Characterizations of consistent pairwise comparison matrices over abelian linearly ordered groups ⋮ A general unified framework for pairwise comparison matrices in multicriterial methods ⋮ A Multiplicative Alo-group Based Hierarchical Decision Model and Application ⋮ Global priority estimation in multiperson decision making

Cites Work

• Eigenvector and logarithmic least squares
• A geometric averaging procedure for constructing supertransitive approximation to binary comparison matrices
• Exploring the interface between hierarchies, multiple objectives and fuzzy sets
• Axiomatic Foundation of the Analytic Hierarchy Process
• Ranking and weak consistency in the A.H.P. context

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