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super efficiency AND ITS SCALARIZATION IN TOPOLOGICAL VECTOR SPACE

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Acta Mathematicae Applicatae Sinica 2000年第1期16卷 22-26页

作者：胡毓达龚循华 Department of Applied Mathematics Shanghai Jiaotong University Shanghai China Department of Systems Science and Mathematics Nanchang University Nanchang China

In this paper, we give a characterization of super efficiency, and obtain a scalarization result for super efficiency in locally convex locally bounded topological vector spaces. The proof given here is substantially ... 详细信息

关键词： Vector optimization super efficiency scalarization self-allied cone

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On super efficiency in set-valued optimization

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Applied Mathematics(A Journal of Chinese Universities) 2009年第2期24卷 144-150页

作者： LI Tai-yong XU Yi-hong Department of Mathematics Nanchang University Nanchang 330031 China Tianmu College Zhejiang Forestry University Lin'an 311300 China

The set-valued optimization problem with constraints is considered in the sense of super efficiency in locally convex linear topological spaces. Under the assumption of iccone-convexlikeness, by applying the seperation theorem, Kuhn-Tucker＇s, Lagrange＇s and saddle points optimality conditions, the necessary conditions are obtained for the set-valued optimization problem to attain its super efficient solutions. Also, the sufficient conditions for Kuhn-Tucker＇s, Lagrange＇s and saddle points optimality conditions are derived.

关键词： super efficiency ic-cone-convexlikeness set-valued optimization saddle point

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super efficiency in vector optimization of set-valued maps

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Progress in Natural Science:Materials International 1998年第6期 21-32页

作者：李仲飞,汪寿阳,LUIS Coladas Department of Management Sciences National Natural Science Foundation of China Beijing 100083 China Department of Statistics and Operation? Research Faculty of Mathematis University of Santiago de Compostela 15771 Santiago de Compostela Spain Institute of Systems Science Chinese Academy of Sciences Beijing 100080 China Department of Mathematics Inner Mongolia University Huhhot 010021 China

The super efficiency for vector optimization of set-valued maps is studied. A scalarization theorem. a Lagrange multiplier theorem, two saddle point theorems and six duality theorems are proved under an assumption of ... 详细信息

关键词： super efficiency vector optimization of set-valued maps Lagrange multipliers saddle points duality.

Benefit Evaluation of Real Estate Industry Based on SBM Model

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Review of Educational Theory 2021年第4期4卷 123-127页

作者： Mengting Zhuang Anhui University of Finance and Economics Statistics and Applied Mathematics Bengbu Anhui233030China

According to the situation of real estate industry in different provinces and cities,the benefit is different,and the benefit of real estate industry in some regions is *** on the statistical data of real estate industry in various regions,this paper selects nine indicators,such as the number of enterprises,the average number of employees,the land purchase area(10000 square meters)in this year,to evaluate and analyze the benefit of real estate industry in 31 regions of China by using two-stage super efficiency *** results show that the input-output of the real estate industry in 17 regions is effective,and the remaining 14 regions are DEA *** reasons for the inefficiency of the input-output are analyzed,and some suggestions to improve the efficiency are given.

关键词： Real estate Benefit evaluation super efficiency SBM

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中国产业部门全要素隐含能源效率的测度研究