In this paper,by reviewing two standard scalarization techniques,a new necessary and sufficient condition for characterizing(ε,.ε)-quasi(weakly)efficient solutions of multiobjective optimization problems is presente...In this paper,by reviewing two standard scalarization techniques,a new necessary and sufficient condition for characterizing(ε,.ε)-quasi(weakly)efficient solutions of multiobjective optimization problems is presented.The proposed procedure for the computation of(ε,.ε)-quasi efficient solutions is given.Note that all of the provided results are established without any convexity assumptions on the problem under consideration.And our results extend several corresponding results in multiobjective optimization.展开更多
基金This work was partially supported by the National Natural Science Foundation of China(11201511,11271391).
文摘In this paper,by reviewing two standard scalarization techniques,a new necessary and sufficient condition for characterizing(ε,.ε)-quasi(weakly)efficient solutions of multiobjective optimization problems is presented.The proposed procedure for the computation of(ε,.ε)-quasi efficient solutions is given.Note that all of the provided results are established without any convexity assumptions on the problem under consideration.And our results extend several corresponding results in multiobjective optimization.
