基于水平效应函数的模糊指派求解模型

结合模糊信息结构特征,提出了水平效应函数L(λ)的概念,建立了从整体上集中量化模糊数位置的、具有广泛可操作性的IL-度量方法及IL-度量在水平效应函数L(λ)下的IDθ-不确定度,进而通过引进的零型模糊数推广了著名的匈牙利算法。最后通过一个算例验证了算法的有效性。并在此基础上,利用模糊信息的IDθ-不确定度分析了指派决策的可靠性程度。该讨论为某种意识下的不确定型决策奠定了理论基础,具有较强的可操作性。

Model on the Fuzzy assignment problem based on the level effect function

In accordance with the structural feature of fuzzy information,we propose level effect function L(λ),and establish IL-metric method to measure fuzzy number and IDθ-uncertainty based on level effect function L(λ).Besides,by the concept of zero form fuzzy number,the famous Hungary Algorithm will be generalized.At last,a numberical example illustrates the proposed method.Based on these procedures,we analyzed the reliability of assignment decision by using IDθ-uncertainty of fuzzy information.All of these discussions lay the foundation for uncertainty decision based on some kind of consciousness,and make it adaptable to practical application.