IDEAS home Printed from
   My bibliography  Save this article

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


  • Willem K. Brauers


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 ( DOI 10.1002/nav.10014

Suggested Citation

  • 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

    Download full text from publisher

    File URL:
    Download Restriction: no

    File URL:
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item

    References listed on IDEAS

    1. 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.
    2. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    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.

    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. KARRI PASANEN & MIKKO KURTTILA & JOUNI PYKÄlÄINEN & JYRKI KANGAS & PEKKA LESKINEN, 2005. "Mesta — Non-Industrial Private Forest Owners' Decision-Support Environment For The Evaluation Of Alternative Forest Plans Over The Internet," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(04), pages 601-620.
    2. Gerd Gigerenzer, 1997. "Bounded Rationality: Models of Fast and Frugal Inference," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 133(II), pages 201-218, June.
    3. Shuang Liu & Kirsten Maclean & Cathy Robinson, 2019. "A cost-effective framework to prioritise stakeholder participation options," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 7(3), pages 221-241, November.
    4. Khaled, Oumaima & Minoux, Michel & Mousseau, Vincent & Michel, Stéphane & Ceugniet, Xavier, 2018. "A multi-criteria repair/recovery framework for the tail assignment problem in airlines," Journal of Air Transport Management, Elsevier, vol. 68(C), pages 137-151.
    5. Zhang, Tianyu & Dong, Peiwu & Zeng, Yongchao & Ju, Yanbing, 2022. "Analyzing the diffusion of competitive smart wearable devices: An agent-based multi-dimensional relative agreement model," Journal of Business Research, Elsevier, vol. 139(C), pages 90-105.
    6. Smith, Chris M. & Shaw, Duncan, 2019. "The characteristics of problem structuring methods: A literature review," European Journal of Operational Research, Elsevier, vol. 274(2), pages 403-416.
    7. Anirban Basu & William Dale & Arthur Elstein & David Meltzer, 2009. "A linear index for predicting joint health‐states utilities from single health‐states utilities," Health Economics, John Wiley & Sons, Ltd., vol. 18(4), pages 403-419, April.
    8. Chorus, Caspar & van Cranenburgh, Sander & Daniel, Aemiro Melkamu & Sandorf, Erlend Dancke & Sobhani, Anae & Szép, Teodóra, 2021. "Obfuscation maximization-based decision-making: Theory, methodology and first empirical evidence," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 28-44.
    9. Wu, Desheng (Dash) & Lee, Chi-Guhn, 2010. "Stochastic DEA with ordinal data applied to a multi-attribute pricing problem," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1679-1688, December.
    10. Alan V. DEARDORFF, 2016. "What Do We (and Others) Mean by “The Terms of Trade”?," Turkish Economic Review, KSP Journals, vol. 3(2), pages 281-291, June.
    11. Perrels, Adriaan & Molarius, Riitta & Porthin, Markus & Rosqvist, Tony, 2008. "Testing a Flood Protection Case by Means of a Group Decision Support System," Discussion Papers 449, VATT Institute for Economic Research.
    12. Fernandez del Pozo, J. A. & Bielza, C. & Gomez, M., 2005. "A list-based compact representation for large decision tables management," European Journal of Operational Research, Elsevier, vol. 160(3), pages 638-662, February.
    13. Mario Fedrizzi & Michele Fedrizzi & R. A. Marques Pereira, 2007. "Consensus Modelling In Group Decision Making: Dynamical Approach Based On Fuzzy Preferences," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 219-237.
    14. repec:cup:judgdm:v:17:y:2022:i:6:p:1255-1286 is not listed on IDEAS
    15. Ahrens, Heinz & Kantelhardt, Jochen, 2007. "Integrating Ecological And Economic Aspects In Land Use Concepts: Some Conclusions From A Regional Land Use Concept For Bayerisches Donauried," 81st Annual Conference, April 2-4, 2007, Reading University, UK 7986, Agricultural Economics Society.
    16. Baudry, Gino & Delrue, Florian & Legrand, Jack & Pruvost, Jérémy & Vallée, Thomas, 2017. "The challenge of measuring biofuel sustainability: A stakeholder-driven approach applied to the French case," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 933-947.
    17. Ed Cook & Jason R. W. Merrick, 2023. "Technology Implementation at Capital One," Interfaces, INFORMS, vol. 53(3), pages 178-191, May.
    18. Zanakis, Stelios H. & Mandakovic, Tomislav & Gupta, Sushil K. & Sahay, Sundeep & Hong, Sungwan, 1995. "A review of program evaluation and fund allocation methods within the service and government sectors," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 59-79, March.
    19. Gemmo, Irina & Browne, Mark J. & Gründl, Helmut, 2017. "Transparency aversion and insurance market equilibria," ICIR Working Paper Series 25/17, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    20. J-B Yang & D-L Xu & X Xie & A K Maddulapalli, 2011. "Multicriteria evidential reasoning decision modelling and analysis—prioritizing voices of customer," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(9), pages 1638-1654, September.
    21. Nikolaos Argyris & Alec Morton & José Rui Figueira, 2014. "CUT: A Multicriteria Approach for Concavifiable Preferences," Operations Research, INFORMS, vol. 62(3), pages 633-642, June.

    More about this item


    Access and download statistics


    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:wly:navres:v:49:y:2002:i:4:p:327-340. 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: Wiley Content Delivery (email available below). General contact details of provider: .

    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.