A UNIFIED MODEL AND ANALYSIS FOR AHP AND ANP

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概要

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• Saaty proposes the analyzing methods for AHP using the principal eigenvector of the comparison matrix, and for ANP (analytic network process) using the limiting process method of the powers of the supermatrix. These methods are based on the irreducibility of the evaluation matrices. We develop the unified method solving both AHP and ANP based on Frobenius min-max theorem. Further this method is extended to the solving method of the general (not necessarily irreducible) evaluation matrix, by the graphic decomposition process.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Takahashi Iwaro

  University of Tsukuba

• Sekitani Kazuyuki

  Department of Systems Engineering, Shizuoka University

• Sekitani Kazuyuki

  Department Of Industrial Administration Science University Of Tokyo

• Sekitani Kazuyuki

  Department Of Systems Engineering Shizuoka University

関連論文

• 2-CYCLIC DESIGN IN AHP
• A UNIFIED MODEL AND ANALYSIS FOR AHP AND ANP
• A RECURSIVE ALGORITHM FOR FINDING THE MINIMUM NORM POINT IN AN UNBOUNDED POLYHEDRON

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