A characterization of weakly efficient, efficient and properly efficient solutions of multiobjective optimization problems is given in terms of a scalar optimization problem by using a special "distance" function. The concept of the well-posedness for this special scalar problem is then linked with the properly efficient solutions of the multiobjective problem.
Miglierina, E., Characterization of solutions of multiobjective optimization problem, <<RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO>>, 2001; 51 (1): 153-164. [doi:10.1007/BF02843924] [http://hdl.handle.net/10807/1715]
Characterization of solutions of multiobjective optimization problem
Miglierina, Enrico
2001
Abstract
A characterization of weakly efficient, efficient and properly efficient solutions of multiobjective optimization problems is given in terms of a scalar optimization problem by using a special "distance" function. The concept of the well-posedness for this special scalar problem is then linked with the properly efficient solutions of the multiobjective problem.
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