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系统科学与数学 1996
SEVERAL THEOREMS OF EFFICIENT POINTS AND PROPER EFFICIENT POINTS
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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.