The concept of a nonlinear compromise scheme in multicriteria problems of evaluation and optimization is presented. It is shown that the problem is to approximate correctly the utility function and construct a substantial mathematical model (scalar convolution) adequate to the given situation to solve various multicriteria problems. In analysis problems, this convolution is an objective function. Its extremization results in a compromise-optimal vector of arguments. An illustrative example is given.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
P. C. Fishburn, Utility Theory for Decision Making, Publications in Operations Research, No. 18, John Wiley and Sons, New York (1970).
A. N. Voronin, Multicriteria Synthesis of Dynamic Systems [in Russian], Naukova Dumka, Kyiv (1992).
O. I. Larichev, Science and Art of Decision Making [in Russian], Nauka, Moscow (1979).
A. N. Voronin, Yu. K. Ziatdinov, and A. I. Kozlov, Vector Optimization of Dynamic Systems [in Russian], Tekhnika, Kyiv (1999).
A. N. Voronin, Yu. K. Ziatdinov, and A. V. Kharchenko, Complex Engineering and Ergatic Systems: Methods of Analysis [in Russian], Fakt, Kharkov (1997).
T. L. Saaty, Multicriteria Decision Making: The Analytical Hierarchy Process, McGraw-Hill, N. Y. (1990).
A. N. Voronin, “A method of multicriteria evaluation and optimization of hierarchical systems,” Cybern. Syst. Analysis, 43, No. 3, 384–390 (2007).
Author information
Authors and Affiliations
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 106–114, July–August 2009.
Rights and permissions
About this article
Cite this article
Voronin, A.N. A nonlinear compromise scheme in multicriteria evaluation and optimization problems. Cybern Syst Anal 45, 597–604 (2009). https://doi.org/10.1007/s10559-009-9127-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-009-9127-z