UDC 519.9
A SYSTEMATIC APPROACH TO MULTIOBJECTIVE OPTIMIZATION
Abstract. A systematic approach to solving multiobjective optimization problems is proposed.
The system approach allows combining the models of individual schemes of compromises into
an integrated structure that adapts to the situation of making multiobjective decisions.
An advantage of the concept of non-linear scheme of compromises is the possibility of making
a multiobjective decision formally, without a direct human participation. The apparatus of the non-linear scheme
of compromises, developed as a formalized tool for the analysis of control systems with conflicting criteria,
makes it possible to solve practically multicriteria problems of a broad class.
Keywords: system, optimization, multicriteria, utility function, scalar convolution, nonlinear scheme of compromises.
FULL TEXT
REFERENCES
- Glushkov V.M. System optimization. Kibernetika. 1980. N 5. P. 89–90.
- Glushkov V.M., Mikhalevich V.S., Volkovich V.L., Dolenko G.A. On the issue of system optimization in multicriteria linear programming problems. Kibernetika. 1982. N 3. P. 4–8.
- Semenova N.V. Methods of searching for guaranteeing and optimistic solutions to integer optimization problems under uncertainty. Cybernetics and Systems Analysis. 2007. Vol. 43, N 1. Р. 85–93.•
- Antonov A.V. System analysis: a textbook for universities [in Russian]. Moscow: Vyssh. shk., 2004. 454 p.
- Peregudov F.I., Tarasenko F.P. Introduction to Systems Analysis. Moscow: Radio i svyaz', 1989. 320 p.
- Voronin A.N. Nested scalar convolutions of a vector criterion. Problemy upravleniya i informatiki. 2003. N 5. P. 10–21.
- Lebedeva T.T., Semenova N.V., Sergienko T.I. Qualitative characteristics of the stability vector discrete optimization problems with different optimality principles. Cybernetics and Systems Analysis. 2014. Vol. 50, N 2. P. 228–233.
- Sergienko I.V., Lebedeva T.T., Semenova N.V. Existence of solutions in vector optimization problems. Cybernetics and Systems Analysis. 2000. Vol. 36, N 6. P. 823–828.
- Fishburn P. Utility theory for decision making [Russian translation]. Moscow: Nauka, 1978. 352 p.
- Voronin A.N., Ziatdinov Yu.K., Kuklinsky M.V. Multicriteria decisions: Models and methods [in Russian]. Kiev: NAU, 2010. 348 p.
- Larichev O.I. Science and art of decision making [in Russian]. Moscow: Nauka, 1979. 200 p.
- Voronin A.N. Nonlinear trade-off scheme in multicriteria estimation and optimization problems. Kibernetika i sistemnyj analiz. 2009. N 4. P. 106–114.
- Voronin A. Multi-criteria decision making for the management of complex systems. USA: IGI Global, 2017. 201 p.
