Abstract
This approach to multiobjective optimization problem solving is the most obvious. We also call this method the “naive approach” to multiobjective optimization [Coello 98]. The goal, here, is to transform our problem so that it turns into a mono-objective optimization problem, for which there exist various methods of solution. The simplest way to proceed is to take each objective function, associate a weight with the objective function and then take a weighted sum of objective functions. Hence we obtain a new, unique objective function.
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A website which presents the best-known multiobjective optimization methods, such as the weighted-sum-of-objective-functions method. The presentation of these methods is really “user” oriented. Few details are given about the mathematics but, on the other hand, full details are given about how to use the method to approximate the tradeoff surface.
A book which presents multiobjective optimization methods. A high level of mathematical knowledge is required to read this book. It is the reference book about the mathematical properties of the various multiobjective optimization methods.
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© 2004 Springer-Verlag Berlin Heidelberg
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Collette, Y., Siarry, P. (2004). Scalar methods. In: Multiobjective Optimization. Decision Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08883-8_2
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DOI: https://doi.org/10.1007/978-3-662-08883-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07283-3
Online ISBN: 978-3-662-08883-8
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