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传统数据包络分析(DEA)模型只能用来评价具有精确投入和产出数据的决策单元。然而在实践中决策单元的投入产出数据可能存在一定模糊性。为了评价具有模糊投入产出数据的决策问题,研究工作者提出了模糊数据包络分析模型,并给出了相应的有效性定义。对于不同研究者提出的有效性定义方式有众多地方需要改进。通过这些改进提出了相关模型及新的有效性定义方式,并给出了相关实例。
Traditional data envelopment analysis (DEA) models can only be used to evaluate decision making units with accurate inputs and outputs. However, in practice, input-output data of decision-making units may be ambiguous. In order to evaluate the decision-making problem with fuzzy input-output data, researchers proposed a fuzzy data envelopment analysis model and given the corresponding definition of validity. There are many ways to improve the effectiveness of different researchers proposed ways. Through these improvements, the relevant models and new ways of definition of validity are proposed, and examples are given.