非劣解分布范围的度量——S-度量

S-Measure:Extensive measure of non-dominated solutions for multiobjective program-ming

提出了一种新的非劣解前端宽广性的度量,S-度量。(1)粗略估计问题I的边界解的集合;(2)由二水平正交设计的思想,从这个集合中选取指定分布比较均匀的参考解;(3)从非劣解集中找与每个参考解最近的解,并计算其距离;(4)给出S-度量的定义.将S-度量与其他一些非劣解质量的度量相结合,从而可以对多目标遗传算法从多个角度进行评价和比较.

This paper proposes an extensive measure for the non-dominated solutions,S-Measure.（1）Find the border solution set for problem I;（2）from the two levels orthoplan,seleet some reference solutions from the border solution set;（3）find the nearest solutions for each reference solution from the non-dominated solutions,and calculate its distance; （4）give the definition of S-Measure.S-Measure can be applied to complement the other quality measures in order to evaluate and compare multiobjective programming algorithms from different perspective.