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Optimizes a convex function on a multi-objective efficient set
Wang Ting 1,Yao Bin 2
1. College of Mathematics and Statistics,Chongqing University,Chongqing 401331
2. College of Science,Shihezi University,Shihezi 832003
*Correspondence author
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Funding: none
Opened online:10 December 2020
Accepted by: none
Citation: Wang Ting,Yao Bin.Optimizes a convex function on a multi-objective efficient set[OL]. [10 December 2020] http://en.paper.edu.cn/en_releasepaper/content/4753148
 
 
The optimization problem of convex function on effective set of multi-objective optimizationhas many useful applications in multi-criteria decision making. In mathematics, problem (P) can be classified as a global optimization problem.This type of problem is more difficult to solve than convex programming problems.In this paper, penalty function method and parameter method for global optimal solution are proposed, and the cases with equality constraint are discussed.
Keywords:Penalty function,Multi-objective optimization,Efficient set,Duality theorem,Parameter form,Equality constraint
 
 
 

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