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首页> 外文期刊>Fuzzy Optimization and Decision Making: A Journal of Modeling and Computation Under Uncertainty >DEA production games with fuzzy output prices
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DEA production games with fuzzy output prices

机译：DEA生产游戏，具有模糊产量价格

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摘要

In DEA production models the technology is assumed to be implicit in the input-output data given by a set of recorded observations. DEA production games assess the benefits to different firms of pooling their resources and sharing their technology. The crisp version of this type of problems has been studied in the literature and methods to obtain stable solutions have been proposed. However, no solution approach exists when there is uncertainty in the unit output prices, a situation that can clearly occur in practice. This paper extends DEA production games to the case of fuzzy unit output prices. In that scenario the total revenue is uncertain and therefore the corresponding allocation among the players is also necessarily uncertain. A core-like solution concept is introduced for these fuzzy games, the Preference Least Core. The computational burden of obtaining allocations of the fuzzy total profit reached through cooperation that belong to the preference least core is high. However, the results presented in the paper permit us to compute the fuzzy total revenue obtained by the grand coalition and a fuzzy allocation in the preference least core by solving a single linear programming model. The application of the proposed approach is illustrated with the analysis of two cooperative production situations originated by data sets from the literature.
机译：在DEA生产模型中，该技术被认为是由一组记录的观测给出的输入 - 输出数据中的隐含。 DEA制作游戏评估对不同公司汇集资源并分享其技术的福利。在文献中研究了这种类型问题的清脆版本，并提出了获得稳定解决方案的方法。然而，当单位产出价格不确定性时，没有解决方案方法，可以在实践中清楚地发生的情况。本文将DEA生产游戏扩展到模糊单位产出价格。在这种情况下，总收入不确定，因此球员之间的相应分配也必然不确定。引入了核心样的解决方案概念，用于这些模糊游戏，偏好最小核心。获得通过合作达到的模糊总利润分配的计算负担很高。但是，本文中提出的结果允许我们通过解决单线性规划模型来计算大联盟的模糊总收入和偏好最小核心的模糊分配。通过分析来自文献的数据集的两个合作生产情况的分析，说明了所提出的方法的应用。

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