Geodesic
On Pareto Sets in Multi-Criteria Optimization
Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 207-212

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In this work we consider the Pareto solutions in continuous multi-criteria optimization problem. We discuss the role of some assumptions that affect the characteristics of Pareto sets. We have tried to remove the assumptions for concavity of the objective functions and convexity of the feasible domain which are usually used in multi-criteria optimization problems. The results are based on the construction of a retraction from the feasible domain onto the Pareto-optimal set. *2000 Mathematics Subject Classification: 90C29.
Keywords: Multi-Criteria Optimization, Pareto-Optimal, Pareto-Front, Retract, Compact 
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Slavov, Zdravko. On Pareto Sets in Multi-Criteria Optimization. Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 207-212. http://geodesic.mathdoc.fr/item/MEM_2011_40_1_a19/