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Decision Making with Multiple Objectives pp 388–399Cite as

A Comparative Study on Eigen Weight Vectors

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 242))

Abstract

There are infinitely many eigen weight vectors which can be constructed for any given data of estimated weight ratios. Assuming that the reliability of these individual ratios can be different, we study the properties of the different eigen weight vectors, including that of Saaty and that recently proposed by Cogger and Yu. A general framework for the construction of eigen weight vectors based on the reliability of the data will be proposed and discussed.

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References

  1. K. O. Cogger and P. L. Yu, “Eigen Weight Vectors and Least Distance Approximation for Revealed Preference in Pairwise Weight Ratios,” Working Paper, University of Kansas, School of Business, 1983. To Appear in Journal of Optimization Theory and Applications.

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  2. P. C. Morris, “Weighting Inconsistent Judgments,” Pi Mu Epsilon Journal, 1979.

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  3. T. L. Saaty, The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.

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  4. T. L. Saaty and L. G. Vargas, The Logic of Priorities, Kluwer-Nijhoff, Boston, 1982.

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  5. E. Takeda, P. L. Yu and K. O. Cogger, “Estimating Criterion Weights Using Eigenvectors: A Comparative Study,” Working Paper, University of Kansas, School of Business, 1984.

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Author information

Authors and Affiliations

  1. Kobe University of Commerce, Kobe, Japan

    E. Takeda

  2. School of Business, University of Kansas, Lawrence, Kansas, 66045, USA

    P. L. Yu & K. O. Cogger

Authors
  1. E. Takeda
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  2. P. L. Yu
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  3. K. O. Cogger
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Editor information

Editors and Affiliations

  1. Systems Engineering Department, Case Institute of Technology, Case Western Reserve University, Cleveland, Ohio, 44106, USA

    Yacov Y. Haimes  & Vira Chankong  & 

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© 1985 Springer-Verlag Berlin Heidelberg

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Cite this paper

Takeda, E., Yu, P.L., Cogger, K.O. (1985). A Comparative Study on Eigen Weight Vectors. In: Haimes, Y.Y., Chankong, V. (eds) Decision Making with Multiple Objectives. Lecture Notes in Economics and Mathematical Systems, vol 242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46536-9_28

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  • DOI: https://doi.org/10.1007/978-3-642-46536-9_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15223-1

  • Online ISBN: 978-3-642-46536-9

  • eBook Packages: Springer Book Archive

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