Abstract
Decision-making problems, the design of control systems, and the construction of multipurpose products all require the solution of multicriteria problems. These problems can be summarized in the following way. Let x ∈R n be an n-dimensional vector of decisions (or construction parameters), and the constraint set X ⊂R n to which the vectors x belong be given. The value of each decision (or the performance of the product) is estimated on the basis of m different scalar-valued criteria (objective functions): F i (x), i∈[1:m]. We shall denote these criteria by F(x) = [F 1(x),...,F m (x)].
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References
Evtushenko, Y.G. (1971). Zhurnal Vychislitelnoi tilatematiki i hMatimaticheskoi Fiziki, 11 (6): 1390–1403.
Evtushenko, Y.G. (1974). Techniques for finding global extrema (in Russian). In Operations Research, Vol. 4, Computing Centre of the USSR Academy of Sciences, Moscow.
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© 1985 Springer-Verlag Berlin Heidelberg
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Evtushenko, Y., Potapov, M. (1985). A Nondifferentiable Approach to Multicriteria Optimization. In: Demyanov, V.F., Pallaschke, D. (eds) Nondifferentiable Optimization: Motivations and Applications. Lecture Notes in Economics and Mathematical Systems, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12603-5_9
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DOI: https://doi.org/10.1007/978-3-662-12603-5_9
Publisher Name: Springer, Berlin, Heidelberg
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