MATHEMATICAL PROPERTIES OF DOMINANT AHP AND CONCURRENT CONVERGENCE METHOD

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概要

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• This study discusses the mathematical structure of the dominant AHP and the concurrent convergence method which were originally developed by Kinoshita and Nakanishi. They introduced a new concept of a regulating alternative into an analyzing tool for a simple evaluation problem with a criterion set and an alternative set. Although the original idea of the dominant AHP and the concurrent convergence method is unique, the dominant AHP and the concurrent convergence method are not sufficiently analyzed in mathematical theory. This study shows that the dominant AHP consists of a pair of evaluation rules satisfying a certain property of overall evaluation vectors. This study also shows that the convergence of concurrent convergence method is guaranteed theoretically.

• 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

• Sekitani Kazuyuki

  Shizuoka University

• Kinoshita Eizo

  Meijo University

• Shi Jianming

  Science University of Tokyo

• Kinoshita E

  Meijo Univ.

• Sekitani Kazuyuki

  Shizuoka Univ.

関連論文

• MATHEMATICAL PROPERTIES OF DOMINANT AHP AND CONCURRENT CONVERGENCE METHOD
• Mathematical Structure of Dominant AHP and Concurrent Convergence Method(AHP)
• REMARKS ON THE CONCURRENT CONVERGENCE METHOD FOR A TYPICAL MUTUAL EVALUATION SYSTEM
• A model-based AHP with incomplete pairwise comparisons
• PROPOSAL OF NEW AHP MODEL IN LIGHT OF DOMINANT RELATIONSHIP AMONG ALTERNATIVES
• GLOBAL OPTIMIZATION PROBLEM WITH MULTIPLE REVERSE CONVEX CONSTRAINTS AND ITS APPLICATION TO OUT-OF-ROUNDNESS PROBLEM
• A logical interpretation for the eigenvalue method in AHP : Why is a weight vector in AHP calculated by the eigenvalue method?
• A LOGICAL INTERPRETATION FOR THE EIGENVALUE METHOD IN AHP
• A paradox of concurrent convergence method for a typical mutual evaluation system
• MATRIX BALANCING PROBLEM AND BINARY AHP
• A NEW APPROACH OF REVISING UNSTABLE DATA IN ANP BY BAYES THEOREM
• LEAST DISTANCE BASED INEFFICIENCY MEASURES ON THE PARETO-EFFICIENT FRONTIER IN DEA
• DISSOLUTION OF DILEMMA BY NEWLY DEFINING CRITERIA MATRIX IN ANP

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