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A simple method for approximating a general Pareto surface

✍ Scribed by Tapani Lehtonen; Pertti Pulkkinen

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
331 KB
Volume
17
Category
Article
ISSN
1057-9214

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✦ Synopsis

Abstract

We present a simple iterative procedure for approximating the Pareto surface of a set S and the only assumption is that S is closed and bounded. The algorithm creates a sequence of upper bounds for the Pareto surface and these upper bounds tighten towards the surface as the number of iteration loops increases towards infinity. The approximation method is further developed towards a tool for optimization in general situations and it may also be applied in interactive multiobjective optimization. Copyright Β© 2011 John Wiley & Sons, Ltd.

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