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非精确数据包络分析研究概述
引用本文:李向军,韩利凯,朱浩悦.非精确数据包络分析研究概述[J].西安文理学院学报,2010,13(1):37-40.
作者姓名:李向军  韩利凯  朱浩悦
作者单位:[1]西安文理学院计算机科学系,陕西西安710065 [2]西安电子科技大学机电工程学院,陕西西安710071
摘    要:对非精确数据包络分析(IDEA)的研究进行了简要的归纳与总结.首先,简要回顾了有关I—DEA的研究进展;其次,给出了非精确数据的定义与分类,将非精确型数据分为:边界数据、弱序数据、强序数据和比值有界数据;同时给出了几个基本假设和相关模型;接着,构建了一个适用于非精确型数据的IDEA模型,并且给出了尺度变换法和变量交替法以实现将非线性规划问题转换成线性规划问题;最后,为了提高求解效率,对Zhu提出的简化变量交替法进行了改进,指出这将减少实际应用中的计算复杂度.

关 键 词:非精确数据  IDEA  尺度变换  变量交替法  简化变量交替法

A Brief Review of Imprecise Data Envelopment Analysis
LI Xiang-jun,HAN Li-kai,ZHU Hao-yue.A Brief Review of Imprecise Data Envelopment Analysis[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2010,13(1):37-40.
Authors:LI Xiang-jun    HAN Li-kai  ZHU Hao-yue
Institution:LI Xiang-jun1,2,HAN Li-kai1,ZHU Hao-yue1 (1.Department of Computer Science,Xi\'an University of Arts , Science,Xi\'an 710065,China,2.College of Electrical-Mechanic Engineering,Xidian University,Xi\'an 710071,China)
Abstract:This paper gave a brief review of imprecise data envelope analysis(IDEA).Firstly,the study of IDEA was briefly reviewed;secondly,the imprecise data,including the bounded data,the weak ordinal data,the strong ordinal data,and the ratio bounded data were defined and classified;some basic assumptions and models were also presented;then,an IDEA model was constructed which is suitable for applying the imprecise data;and then,the scale-transformation and variable-alternation approach were presented in order to co...
Keywords:IDEA  imprecise data  IDEA  scale transformation  variable alternation  simplified variable - alternation approach
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