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The multiplicative representation for multiple objectives optimization with an application for arms procurement

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  • Willem K. Brauers

Abstract

Multiple Objectives Optimization is much seen in combination with linear functions and even with linear programming, together with an adding of the objectives by using weights. With distance functions, normalization instead of weights is used. It is also possible that together with an additive direct influence of the objectives on the utility function a mutual utility of the objectives exists under the form of a multiplicative representation. A critical comment is brought on some representations of this kind. A full‐multiplicative form may offer other opportunities, which will be discussed at length in an effort to exclude weights and normalization. This theoretical approach is followed by an application for arms procurement. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 327–340, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10014

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  • Willem K. Brauers, 2002. "The multiplicative representation for multiple objectives optimization with an application for arms procurement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(4), pages 327-340, June.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:4:p:327-340
    DOI: 10.1002/nav.10014
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    References listed on IDEAS

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    1. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, January.
    2. George J. Stigler, 1947. "Notes on the History of the Giffen Paradox," Journal of Political Economy, University of Chicago Press, vol. 55(2), pages 152-152.
    3. Ralph L. Keeney, 1973. "A Decision Analysis with Multiple Objectives: the Mexico City Airport," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 101-117, Spring.
    4. Wassily W. Leontief, 1933. "The Use of Indifference Curves in the Analysis of Foreign Trade," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 47(3), pages 493-503.
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    Cited by:

    1. Willem Brauers, 2013. "Multi-objective seaport planning by MOORA decision making," Annals of Operations Research, Springer, vol. 206(1), pages 39-58, July.
    2. Willem Karel M. Brauers & Romualdas Ginevičius, 2009. "Robustness in regional development studies. The case of Lithuania," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 10(2), pages 121-140, February.

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