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Methodology to select solutions for multiobjective optimization problems: Weighted stress function method
Journal of Multi-Criteria Decision Analysis ( IF 1.9 ) Pub Date : 2017-04-21 , DOI: 10.1002/mcda.1610
José C. Ferreira 1 , Carlos M. Fonseca 2 , Roman Denysiuk 1 , António Gaspar-Cunha 1
Affiliation  

The weighted stress function method is proposed here as a new way of identifying the best solution from a set of nondominated solutions according to the decision maker's preferences, expressed in terms of weights. The method was tested using several benchmark problems from the literature, and the results obtained were compared with those of other methods, namely, the reference point evolutionary multiobjective optimization (EMO), the weighted Tchebycheff metric, and a goal programming method. The weighted stress function method can be seen to exhibit a more direct correspondence between the weights set by the decision maker and the final solutions obtained than the other methods tested.

中文翻译:

选择多目标优化问题解决方案的方法:加权应力函数法

此处提出了加权应力函数方法,作为一种新方法,可根据决策者的偏好从一组非支配解中确定最佳解,以权重表示。使用文献中的几个基准问题测试了该方法,并将获得的结果与其他方法(即参考点进化多目标优化(EMO),加权Tchebycheff度量和目标规划方法)的结果进行了比较。可以看出,与其他测试方法相比,加权应力函数方法在决策者设置的权重和最终解决方案之间显示出更直接的对应关系。
更新日期:2017-04-21
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