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本文研究当生产系统中各决策单元的投入产出数据为模糊数据时,管理者如何将资源在决策单元之间进行公平分配的问题.基于DEA理论及合作博弈的Shapley值,在模糊数据环境下,考虑决策单元加入联盟前后对联盟中原有决策单元效率值及自身效率值的影响,建立修正Shapley值,并依据决策单元对生产系统的相对贡献情况,设计资源在各决策单元之间进行公平分配的方案.最后通过数值算例加以验证.
This paper studies how managers allocate resources fairly among decision-making units when input-output data of decision-making units in production system are fuzzy data.According to the Shapley value of DEA theory and cooperative game, , Consider the effect of the decision-making unit on the efficiency of the original decision-making unit and its own efficiency before and after the decision-making unit join the alliance, establish the modified Shapley value, and allocate the fair resource allocation among the decision-making units based on the relative contribution of the decision-making unit to the production system Finally, the numerical example is used to verify.