中文摘要：

利用n维Euclid空间中较多锥的闭包,定义了多目标规划强较多有效解.利用较多锥闭包的Minkowski泛函,给出了强较多有效解和弱较多有效解的标量化结果,并讨论了强较多有效解和弱较多有效解的标量对偶问题及其应用.

英文摘要：

The strongly major-efficient solutions of multiobjective programming are defined by using the closure of major-cone in the n-dimensional Euclid space.Then,on the basis of the Minkowski functional of closure of a major cone,the scalarization results for strongly major-efficient solutions and weakly major-efficient solutions are given,and the scalar duality and its applications for strongly major-efficient solutions and weakly major-efficient solutions are discussed.