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OALib Journal期刊
ISSN: 2333-9721
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SEVERAL THEOREMS OF EFFICIENT POINTS AND PROPER EFFICIENT POINTS
关于有效点与真有效点的几个定理

Keywords: Multiobjective programming,pareto optimality,proper efficiency,preference order
多目标规划,Pareto有效性,真有效性,偏爱序

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Abstract:

In this papers the definition of Benson-proper efficient points is generalized. A characterization of the relative interior of a convex cone is given. Without the pointedness assumption, the equivalence between Hartley-proper efficient points and the generalized Bensonproper efficient points is proved by the characterization of relative interiors of convex cones. Several results of scalarization of efficient points and proper efficient points are derived.

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