A heuristic approach for deriving the priority vector in AHP |
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Authors: | Changsheng Lin Gang Kou Daji Ergu |
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Institution: | 1. School of Management and Economics, University of Electronic Science and Technology of China, Chengdu 610054, China;2. Mathematics Department, Yangtze Normal University, Chongqing 408100, China;3. Southwest University for Nationalities, Chengdu 610200, China |
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Abstract: | This paper proposes an approach for deriving the priority vector from an inconsistent pair-wise comparison matrix through the nearest consistent matrix and experts judgments, which enables balancing the consistency and experts judgments. The developed algorithm for achieving a nearest consistent matrix is based on a logarithmic transformation of the pair-wise comparison matrix, and follows an iterative feedback process that identifies an acceptable level of consistency while complying with experts preferences. Three numerical examples are examined to illustrate applications and advantages of the developed approach. |
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Keywords: | Analytic Hierarchy Process Pair-wise comparison matrix Frobenius norm Nearest consistent matrix Priority vector |
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