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Multimode Data Analysis for Decision Making

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Multiple Criteria Decision Making

Abstract

We consider an extension of eigenvector analysis to the data represented by many-way matrices. The results obtained from a non-linear eigenvalue problem can be interpreted as principal components (PC) of the items in each direction of a multimode matrix. Such generalized PC can be used for clarifying the internal structural relationships between variables, visualization of multispace data, ranking objects, and other aims of multicriteria decision analysis.

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Reference

  1. Eckart, C. and G. Young, The approximation of one matrix by another of lower rank, Psychometrika 1: 211–218, 1936.

    Article  Google Scholar 

  2. Giladi, R., S. Lipovetsky and A. Tishler, Evaluation and approximation of large systems using multi-dimensional eigenvector analysis: An application to MIS, Working Paper No. 14/93, Faculty of Management, Tel Aviv University 1993; to be presented at ICSSSE′93 in Beijing, China, 1993.

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  3. Harman, H.H., Modern factor analysis. Chicago: University of Chicago Press, 1976.

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  4. Law, H.G., C.W. Snyder, J.A. Hattie and R.P. McDonald (eds.). Research methods for multimode data analysis. New York: Praeger Publishers, 1984.

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  5. Lipovetsky, S. and A. Tishler, Linear methods in multimode data analysis for decision making. Forthcoming in Computer & Operations Research, 1993.

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  6. Nesselroade, J.R. and R.B. Cattell (eds.). Handbook of multivariate experimental psychology. New York - London: Plenum Press, 1988.

    Google Scholar 

  7. Wilkinson, J.H. The algebraic eigenvalue problem. Oxford: Clarendon Press, 1965.

    MATH  Google Scholar 

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© 1994 Springer-Verlag New York, Inc.

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Lipovetsky, S. (1994). Multimode Data Analysis for Decision Making. In: Tzeng, G.H., Wang, H.F., Wen, U.P., Yu, P.L. (eds) Multiple Criteria Decision Making. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2666-6_28

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  • DOI: https://doi.org/10.1007/978-1-4612-2666-6_28

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7626-5

  • Online ISBN: 978-1-4612-2666-6

  • eBook Packages: Springer Book Archive

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