A consistency improving method in the analytic hierarchy process. (English) Zbl 1009.90513

Summary: We propose a method to modify a given comparison matrix, by which the consistency ratio (CR) value of the modified matrix is less than that of the original one, and give an algorithm to derive a positive reciprocal matrix with acceptable consistency (i.e., CR \(< 0.1\)), then the convergence theorem for the given algorithm is established and its practicality is shown by some examples.


90B50 Management decision making, including multiple objectives
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