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
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.
