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Characterizations of solution sets for parametric multiobjective optimization problems |
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| Authors: | Zhe Chen |
| Affiliation: | 1. Research Center for Contemporary Management, School of Economics and Management , Tsinghua University , Beijing , 100084 , China;2. Chongqing Key Laboratory of Operations Research and System Engineering , Chongqing Normal University , Chongqing , 400047 , China mazhechen@gmail.com |
| Abstract: | In this article, we investigate the nonemptiness and compactness of the weak Pareto optimal solution set of a multiobjective optimization problem with functional constraints via asymptotic analysis. We then employ the obtained results to derive the necessary and sufficient conditions of the weak Pareto optimal solution set of a parametric multiobjective optimization problem. Our results improve and generalize some known results. |
| Keywords: | parametric multiobjective optimization nonemptiness and compactness asymptotic analysis weak Pareto optimal solution |