Estimating criterion weights using eigenvectors: A comparative study. (English) Zbl 0618.90046

In addition to Saaty’s eigenvector there are infinitely many eigen weight vectors which can be constructed for any given data of estimated weight ratios. As the judgement of the ratios are dependent on personal experience, learning, situations and state of mind, inconsistencies and degree of easiness or confidence to make the judgement on the ratios may be different. Assuming that the confidence in making judgement on these individual ratios can be different, we study the properties of the different eigen weight vectors, including that of T. L. Saaty [”The analytic hierarchy process” (1980; Zbl 0587.90002)] and that recently proposed by K. O. Cogger and P. L. Yu [J. Optimization Theory Appl. 46, 483-491 (1985; Zbl 0552.90050)]. A general framework for the construction of eigen weight vectors incorporating that confidence in obtaining the individual ratios can be different will be proposed and discussed.


90B50 Management decision making, including multiple objectives
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