The Multiplicative Representation of Multiobjective Optimization

  • Willem K. Brauers
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 73)


Human behavior is characterized by pursuing several objectives simultaneously. These objectives are sometimes contradictory, for instance obtainment of richness and economic growth as opposed to diminution of pollution and other monetary or social costs. Such objectives could even be more immaterial such as happiness and the absence of sorrow.


Utility Function Multiobjective Optimization Nominal Group Technique Multiplicative Form Multiplicative Representation 
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Notes Part Five Chapter 1

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    The formula was inspired by Schälig. He considers, however, the utility of each response of an alternative on an attribute, which means that he has to normalize all responses. On the contrary, we assume that usefulness is included in the responses themselves. Indeed in the public sector it is accepted that the public authority can judge the utility of the attributes for all the stakeholders by indicators, norms etc. This happens in traditional government governance systems. In addition, the private sector has to operate in the same way (see therefore Part III], Chapter 1 of this book). A. Schärlig, Décider sur plusieurs critères, Presses Polytechniques Romandes, Paris, 1985, 87.Google Scholar
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    Indeed such a logarithmic transformation is biased cf.P. Kennedy, A Guide to Econometrics, Fourth Edition, Blackwell, Oxford, 1998, 97–98; 115. A.S.Goldberger, The Interpretation and Estimation of Cobb-Douglas Functions, Econometrica, Journal of the Econometric Society, Amsterdam, 1968, 36,464-472.Google Scholar
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Willem K. Brauers
    • 1
  1. 1.Faculty of Applied Economics and Institute for Development Policy and ManagementUniversity of AntwerpBelgium

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