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文章基本信息

  • 标题:Verified methods for computing Pareto sets: General algorithmic analysis
  • 作者:Boglárka G.-Tóth ; Vladik Kreinovich
  • 期刊名称:International Journal of Applied Mathematics and Computer Science
  • 电子版ISSN:2083-8492
  • 出版年度:2009
  • 卷号:19
  • 期号:3
  • 出版社:De Gruyter Open
  • 摘要:In many engineering problems, we face multi-objective optimization, with several objective functions f1, . . . , fn . We want to provide the user with the Pareto set—a set of all possible solutions x which cannot be improved in all categories (i.e., for which fj(x’) ≥ fj(x) for all j and fj(x’) > fj(x) for some j is impossible). The user should be able to select an appropriate trade-off between, say, cost and durability. We extend the general results about (verified) algorithmic computability of maxima locations to show that Pareto sets can also be computed.
  • 关键词:multi-objective optimization; Pareto set; verified computing
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