IDEAS home Printed from https://ideas.repec.org/p/zbw/kondp1/256.html
   My bibliography  Save this paper

A preference-preserving projection technique for MCDM

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/68854/1/686865588.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peter Bogetoft & Kurt Nielsen, 2005. "Internet Based Benchmarking," Group Decision and Negotiation, Springer, vol. 14(3), pages 195-215, May.
    2. Vetschera, Rudolf, 1993. "Visualisierungstechniken in Entscheidungsproblemen bei mehrfacher Zielsetzung," Discussion Papers, Series I 267, University of Konstanz, Department of Economics.
    3. M. Makowski, 1994. "Methodology and a Modular Tool for Multiple Criteria Analysis of LP Models," Working Papers wp94102, International Institute for Applied Systems Analysis.
    4. Jeong, In-Jun & Kim, Kwang-Jae, 2009. "An interactive desirability function method to multiresponse optimization," European Journal of Operational Research, Elsevier, vol. 195(2), pages 412-426, June.
    5. Sun, Minghe & Steuer, Ralph E., 1996. "InterQuad: An interactive quad tree based procedure for solving the discrete alternative multiple criteria problem," European Journal of Operational Research, Elsevier, vol. 89(3), pages 462-472, March.
    6. Park, K. Sam & Shin, Dong Eun, 2012. "Interactive multiobjective optimization approach to the input–output design of opening new branches," European Journal of Operational Research, Elsevier, vol. 220(2), pages 530-538.
    7. Pekka Korhonen & Jyrki Wallenius, 1988. "A pareto race," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 615-623, December.
    8. Caballero, Rafael & Ruiz, Francisco & Uria, M. Victoria Rodriguez & Romero, Carlos, 2006. "Interactive meta-goal programming," European Journal of Operational Research, Elsevier, vol. 175(1), pages 135-154, November.
    9. A.P. Wierzbicki, 1998. "Reference Point Methods in Vector Optimization and Decision Support," Working Papers ir98017, International Institute for Applied Systems Analysis.
    10. Thomas L. Saaty, 2013. "The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach," Operations Research, INFORMS, vol. 61(5), pages 1101-1118, October.
    11. J. Granat & M. Makowski, 1998. "ISAAP - Interactive Specification and Analysis of Aspiration-Based Preferences," Working Papers ir98052, International Institute for Applied Systems Analysis.
    12. Haapalinna, Ilkka, 2003. "How to allocate funds within the army," European Journal of Operational Research, Elsevier, vol. 144(1), pages 224-233, January.
    13. Li, Hui & Sun, Jie, 2009. "Hybridizing principles of the Electre method with case-based reasoning for data mining: Electre-CBR-I and Electre-CBR-II," European Journal of Operational Research, Elsevier, vol. 197(1), pages 214-224, August.
    14. Arbel, Ami & Korhonen, Pekka, 2001. "Using objective values to start multiple objective linear programming algorithms," European Journal of Operational Research, Elsevier, vol. 128(3), pages 587-596, February.
    15. Ruiz, Francisco & Luque, Mariano & Miguel, Francisca & del Mar Munoz, Maria, 2008. "An additive achievement scalarizing function for multiobjective programming problems," European Journal of Operational Research, Elsevier, vol. 188(3), pages 683-694, August.
    16. Buyukozkan, G.Gulcin & Feyzioglu, Orhan, 2004. "A fuzzy-logic-based decision-making approach for new product development," International Journal of Production Economics, Elsevier, vol. 90(1), pages 27-45, July.
    17. Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2018. "On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application," European Journal of Operational Research, Elsevier, vol. 271(1), pages 120-140.
    18. Nowak, Maciej, 2007. "Aspiration level approach in stochastic MCDM problems," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1626-1640, March.
    19. Gal, Tomas & Hanne, Thomas, 2006. "Nonessential objectives within network approaches for MCDM," European Journal of Operational Research, Elsevier, vol. 168(2), pages 584-592, January.
    20. Hokkanen, Joonas & Salminen, Pekka, 1997. "Choosing a solid waste management system using multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 98(1), pages 19-36, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:kondp1:256. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/fwkonde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.