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C^2R模型的一种新的线性等价形式与强DEA有效 被引量:4

A New Linear Equivalent Form of C^2R-model and Strong DEA-efficiency
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摘要 针对C2R模型下DEA有效决策单元多重性问题,给出C2R模型一种新的线性等价形式。根据该线性等价形式引入强DEA有效的概念,证明决策单元强DEA有效的一个等价性定理,该定理反映了决策单元强DEA有效的经济含义,指出强DEA有效是对DEA有效概念的精练(改进)。最后定义了多面凸锥的非劣锥极点,用以说明决策单元强DEA有效的几何意义,并给出一个算例。 This paper gives a new linear equivalent form of C^2R-model for the multiple solutions problems of C^2R-model. In the light of this linear equivalent form, the definition of strong DEA-efficient is introduced and an equivalent theorem of DEA-efficient decision cells is showed, which reflects the economic implications of DEA-efficient decision cells, and it is (emphasized) that strong DEA-efficient is how to improve on the conception of DEA-efficiency. Finally, by the definition of non-inferior vertex of multi-surface convex cone, the geometry meaning of strong DEA-efficient is illustrated, and an (example) is given.
出处 《系统工程》 CSCD 北大核心 2005年第1期102-106,共5页 Systems Engineering
基金 国家自然科学基金资助项目(70372011)
关键词 C^2R模型 DEA有效 强DEA有效 优势集 非劣锥极点 C^2R-model DEA-efficient Strong DEA-efficiency Superior Set Non-inferior Vertex Cone
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