Abstract
This paper presents an adaptive precision method based on cubic splines and a new scalarization procedure, which constructs approximations to the surface of noninferior points. It is particularly well suited for the two or three criteria optimization problems, but it can also be used to some extent for high dimensional problems. An important aspect of this method is that it is quite efficient, since it computes no more points than necessary to ensure a prescribed level of precision of approximation.
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Polak, E. (1976). On the Approximation of Solutions to Multiple Criteria Decision Making Problems. In: Zeleny, M. (eds) Multiple Criteria Decision Making Kyoto 1975. Lecture Notes in Economics and Mathematical Systems, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45486-8_12
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DOI: https://doi.org/10.1007/978-3-642-45486-8_12
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