典型文献
Special Relationship among Decision Making Units based on Partially Ordered Set and New Evaluation and Projection Methods
文献摘要：
This paper provides data envelopment analysis methods based on partially ordered set theory.These methods reveal the special relationships between two decision making units from the perspective of mathematical theory and offer the classification,projection and improvement methods of decision making units.It is proved that an efficient decision making unit must be a maximal element of the related poset,and the maximal element may not be efficient.For this,we introduce the concepts of minimum envelope and efficiency envelope which further reveal the special relationship among efficient and inefficient decision making units.Compared with the previous methods,this method not only reveals theoretically the complex relationship among decision making units and the causes of the ineffectiveness,but also gives a new importance and competitiveness measurement method to each decision making unit.Finally,related algorithm and examples are given for the application of these methods to complex decision making problems.
文献关键词：
中图分类号：
作者姓名：
Muren;Chang Liu;Wei Cui;Jinquan Dong
作者机构：
School of Statistics,Jilin University of Finance and Economics,Changchun,130117,China;School of Management Science and Information Enginering,Jilin University of Finance and Economics,Changchun,130117,China;School of Economic and Management,Inner Mongolia University of Technology,Hohhot,010051,China
文献出处：
引用格式：
[1]Muren;Chang Liu;Wei Cui;Jinquan Dong-.Special Relationship among Decision Making Units based on Partially Ordered Set and New Evaluation and Projection Methods)[J].系统科学与系统工程学报（英文版）,2022(02):226-246
A类：
poset
B类：
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AB值：
0.568836
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