On a maximum eigenvalue of third-order pairwise comparison matrix in analytic hierarchy process and convergence of Newton's method

DOI10.1007/s43069-021-00077-wzbMath1472.90046OpenAlexW3190279398MaRDI QIDQ1981923

Shunsuke Shiraishi, Tsuneshi Obata

Publication date: 7 September 2021

Published in: SN Operations Research Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43069-021-00077-w

zbMATH Keywords

convergenceanalytic hierarchy processdecision support systemsNewton's methodpairwise comparison matrix

Mathematics Subject Classification ID

Management decision making, including multiple objectives (90B50) Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08)

Cites Work

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• Introduction to the analytic hierarchy process
• A note on the computation of the mean random consistency index of the analytic hierarchy process (AHP)
• A method for solving LSM problems of small size in the AHP
• Understanding the Analytic Hierarchy Process
• SOME REMARKS ON THE MAXIMUM EIGENVALUE OF 3RD ORDER PAIRWISE COMPARISON MATRICES IN AHP
• PROPERTIES OF A POSITIVE RECIPROCAL MATRIX AND THEIR APPLICATION TO AHP

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