Can Pareto show like an envelope?

Question

Tony Cheng 2017-3-17

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/330356-can-pareto-show-like-an-envelope

评论： Tony Cheng 2017-3-18

采纳的回答： Alan Weiss

Hi guys,

I am using gamultiobj to optimize six objective functions together.

Because there are six objectives, the obtained Pareto front cannot be drawn together in one figure.

Some two objective functions are drawn together as a two-dimensional subfigure.

However, it is not a curved line which is usually shown in the example of gamultiobj in Matlab, but it looks like a envelope as in the following figure:

Anyone can tell me is it possible to generate a right Pareto front like a surface, rather than only a curved line?

Thanks so much!

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Answer 1

Alan Weiss 2017-3-17

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https://ww2.mathworks.cn/matlabcentral/answers/330356-can-pareto-show-like-an-envelope#answer_259184

Perhaps you should try using the @fgoalattain HybridFcn option, and maybe a larger PopulationSize, to get more accurate Pareto values. You might also be interested in plotting a 3-D surface rather than just 2-D sections.

Alan Weiss

MATLAB mathematical toolbox documentation