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A preference-preserving projection technique for MCDM

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  • Vetschera, Rudolf

Abstract

The paper introduces a new method for the graphical representation of multicriteria decision problems with discrete sets of alternatives. The approach proposed here extends projection techniques based on principal component analysis by incorporating information about preferences between alternatives in the graphical display. The advantages of principal component projection, which provides a clear view of data values, and a projection orthogonal to indifference hyperplanes, which provides preference information, are both made available to the user through a linear combination of projection matrices with interactively changed weights. The approach developed here can further be extended to more complex, nonlinear preference structures and strategies for that extension are also discussed in the paper.

Suggested Citation

  • Vetschera, Rudolf, 1991. "A preference-preserving projection technique for MCDM," Discussion Papers, Series I 256, University of Konstanz, Department of Economics.
    • Handle: RePEc:zbw:kondp1:256
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    1. Korhonen, Pekka & Moskowitz, Herbert & Wallenius, Jyrki, 1992. "Multiple criteria decision support - A review," European Journal of Operational Research, Elsevier, vol. 63(3), pages 361-375, December.
    2. Mareschal, Bertrand & Brans, Jean-Pierre, 1988. "Geometrical representations for MCDA," European Journal of Operational Research, Elsevier, vol. 34(1), pages 69-77, February.
    3. B. Roy & Ph. Vincke, 1984. "Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results," Management Science, INFORMS, vol. 30(11), pages 1323-1335, November.
    4. Korhonen, Pekka & Laakso, Jukka, 1986. "Solving generalized goal programming problems using a visual interactive approach," European Journal of Operational Research, Elsevier, vol. 26(3), pages 355-363, September.
    5. Korhonen, Pekka J. & Laakso, Jukka, 1986. "A visual interactive method for solving the multiple criteria problem," European Journal of Operational Research, Elsevier, vol. 24(2), pages 277-287, February.
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