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中文摘要：
λ模糊测度常用于基于关联的多属性决策（multiple attribute decision making，MADM）问题中的属性和属性集重要程度建模。为了能充分地利用决策者可能提供的各类信息辅助多属性决策分析行为，在Grabisch给出的一般有限离散集上模糊测度与其Mǒbius变换和关联系数间相互转换关系的基础上，定义了λ模糊测度的Mǒbius变换和关联系数并研究了三者间的相互转换关系，最后给出算例解释λ模糊测度及其Mǒbius变换和关联系数间转换关系在实际MADM问题中的应用。
英文摘要：
λ fuzzy measures are often utilized to model the importance of the attributes and their coalitions for the multi-attribute decision making （MADM） problems with interaction. In order to make full use of the information provided by the decision maker to assist the decision making, the concepts of the Mǒbius representation and interaction representation of the λ fuzzy measures are given and the relationships among the λ fuzzy measures, their Mǒbius representation and interaction representation are deduced based on the research of Grabisch, and an example is proposed to illustrate the application of the transforms of the λ fuzzy mea- sures and their Mǒbius representation and interaction representation in practice problems of MADM.
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