The conventional data envelopment analysis （DEA） measures the relative efficiencies of a set of decision making units with exact values of inputs and outputs. In real-world prob- lems, however, inputs and outputs ty...The conventional data envelopment analysis （DEA） measures the relative efficiencies of a set of decision making units with exact values of inputs and outputs. In real-world prob- lems, however, inputs and outputs typically have some levels of fuzziness. To analyze a decision making unit （DMU） with fuzzy input/output data, previous studies provided the fuzzy DEA model and proposed an associated evaluating approach. Nonetheless, numerous deficiencies must still be improved, including the α- cut approaches, types of fuzzy numbers, and ranking techniques. Moreover, a fuzzy sample DMU still cannot be evaluated for the Fuzzy DEA model. Therefore, this paper proposes a fuzzy DEA model based on sample decision making unit （FSDEA）. Five eval- uation approaches and the related algorithm and ranking methods are provided to test the fuzzy sample DMU of the FSDEA model. A numerical experiment is used to demonstrate and compare the results with those obtained using alternative approaches.展开更多
Data envelopment analysis(DEA)method based on game theory effectively ranks the decisionmaking units(DMUs)by the view of cooperation or competition.The DEA method based on partial ordered set theory depicts the relati...Data envelopment analysis(DEA)method based on game theory effectively ranks the decisionmaking units(DMUs)by the view of cooperation or competition.The DEA method based on partial ordered set theory depicts the relationships among DMUs.However,these methods are unable to reveal the complex cooperation and competition relationships among DMUs.In this paper,an optimal model for DMU group game strategy is proposed based on the generalized DEA method and game theory.According to this model,we can effectively depict the efficiency change of DMUs.Moreover,the effect of various game relationships on individual and the union of DMUs can be characterized.It is of positive significance for decision makers to find partners and moderate the cooperation and competition situation of their competitors.Finally,the cooperation and competition relationships of 9 express enterprises in a certain area in China are analyzed by using the method proposed in this paper.展开更多
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 ...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.展开更多
文摘目的:描述通辽市社区居民老年期痴呆流行病学调查的抽样设计、权重计算、调查工具、现场执行及质量控制方案。方法:采用三阶段不等概率抽样设计在内蒙古自治区通辽市调查65岁及以上的常住居民,采用10/66老年期痴呆系列研究(10/66 Dementia Research Group,10/66 DRG)评估工具获得老年期痴呆的疾病诊断,以计算机辅助个人访谈模式开展调查,并实施调查全程及时质量控制措施。结果:在通辽市9个旗/县/市/区的166个嘎查/村/居中共调查老人4345人,应答率为96.2%。计算抽样设计权数、无应答调整权数和事后分层调整权数后,将上述权数相乘并进行极值调整和标化调整,从而获得最终权数。171名访员接受培训,考核合格后开展入户调查,并采用计算机数据核查、录音核查和电话核查等质量控制措施,保证调查的真实性。结论:本调查采用严格的抽样设计和质量控制措施实施调查,并采用国际效度和信度满意的10/66DRG评估工具作为调查工具,具有国际跨文化可比性,可以为国内其他地区开展老年期痴呆流行病学调查提供方法学参考。
基金supported by the National Natural Science Foundation of China (70961005)211 Project for Postgraduate Student Program of Inner Mongolia University+1 种基金National Natural Science Foundation of Inner Mongolia (2010Zd342011MS1002)
文摘The conventional data envelopment analysis （DEA） measures the relative efficiencies of a set of decision making units with exact values of inputs and outputs. In real-world prob- lems, however, inputs and outputs typically have some levels of fuzziness. To analyze a decision making unit （DMU） with fuzzy input/output data, previous studies provided the fuzzy DEA model and proposed an associated evaluating approach. Nonetheless, numerous deficiencies must still be improved, including the α- cut approaches, types of fuzzy numbers, and ranking techniques. Moreover, a fuzzy sample DMU still cannot be evaluated for the Fuzzy DEA model. Therefore, this paper proposes a fuzzy DEA model based on sample decision making unit （FSDEA）. Five eval- uation approaches and the related algorithm and ranking methods are provided to test the fuzzy sample DMU of the FSDEA model. A numerical experiment is used to demonstrate and compare the results with those obtained using alternative approaches.
基金supported by National Natural Science Funds of China under Grant Nos.70821001,71661025 and 71401084Inner Mongolia Natural Science Foundation under Grant Nos.2016MS0705,2017JQ02 and 2019MS07008+3 种基金Inner Mongolia Grassland Talent Project under Grant No.12000-12102012China Post-Doctoral Fund under Grant No.2018M631323Project of Inner Mongolia Institute of Data Science and Big Data under Grant No.BDY18007Inner Mogolia Medical University Excellext Teacher Preject under Grant No.NYJTXX201915.
文摘Data envelopment analysis(DEA)method based on game theory effectively ranks the decisionmaking units(DMUs)by the view of cooperation or competition.The DEA method based on partial ordered set theory depicts the relationships among DMUs.However,these methods are unable to reveal the complex cooperation and competition relationships among DMUs.In this paper,an optimal model for DMU group game strategy is proposed based on the generalized DEA method and game theory.According to this model,we can effectively depict the efficiency change of DMUs.Moreover,the effect of various game relationships on individual and the union of DMUs can be characterized.It is of positive significance for decision makers to find partners and moderate the cooperation and competition situation of their competitors.Finally,the cooperation and competition relationships of 9 express enterprises in a certain area in China are analyzed by using the method proposed in this paper.
基金supported by the National Natural Science Foundation of China under Grant No.71961026the National Natural Science Foundation of Inner Mongolia under Grant No.2019MS07001.
文摘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.
