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Ranking Pareto Optimal Solutions in Genetic Algorithm by Using the Undifferentiation Interval Method

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IUTAM Symposium on Evolutionary Methods in Mechanics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 117))

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Abstract

The article shows a new method of ranking Pareto optimal solutions, which form a numerous set of nondominated solutions, by using the notion of optimality in the sense of an undifferentiation interval. The ranking algorithm presented is based on the filtration of a set of Pareto optimal solutions by using the undifferentiation interval method. The example presented shows that the generated subsets of nondominated solutions are given different ranks, which should contribute to an adequate crossover operation.

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© 2004 Kluwer Academic Publishers

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Montusiewicz, J. (2004). Ranking Pareto Optimal Solutions in Genetic Algorithm by Using the Undifferentiation Interval Method. In: Burczyński, T., Osyczka, A. (eds) IUTAM Symposium on Evolutionary Methods in Mechanics. Solid Mechanics and Its Applications, vol 117. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2267-0_25

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  • DOI: https://doi.org/10.1007/1-4020-2267-0_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-2266-1

  • Online ISBN: 978-1-4020-2267-8

  • eBook Packages: Springer Book Archive

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