Relations Between Robust Efficient Solutions and Properly Efficient Solutions to Multiobjective Optimization Problems

YANG Ming; LI Linting; GAO Ying

doi:10.21656/1000-0887.400032

Volume 40 Issue 12

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YANG Ming, LI Linting, GAO Ying. Relations Between Robust Efficient Solutions and Properly Efficient Solutions to Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1364-1372. doi: 10.21656/1000-0887.400032

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Relations Between Robust Efficient Solutions and Properly Efficient Solutions to Multiobjective Optimization Problems

doi: 10.21656/1000-0887.400032

School of Mathematical Sciences, Chongqing Normal University,Chongqing 401331, P.R.China

Funds: The National Natural Science Foundation of China（11771064）

Received Date: 2019-01-14
Rev Recd Date: 2019-11-05
Publish Date: 2019-12-01

Abstract

Abstract

The relations between the robust efficient solutions and properly efficient solutions to multiobjective optimization problems were studied, and the optimality conditions for the robust efficient solutions were discussed. Firstly, the concept of weakly robust efficient solutions to multiobjective optimization problems was given. Then, the relations between the (weakly) robust efficient solutions and the properly efficient solutions were made clear. Several examples were given to illustrate the main results. Finally, the necessary and sufficient optimality conditions for the robust efficient solutions were established under the subconvexity and pseudoconvexity assumptions.
- multiobjective optimization problem,
- robust efficient solution,
- properly efficient solution,
- optimality condition

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References(19)

References

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