模糊网络总工期隶属函数及路径关键度分析

为了求取模糊网络总工期隶属函数和路径关键度，以模糊扩展定理和模糊截集概念为基础，通过求取所有活动的模糊截集，将模糊网络转变为一系列不同α截集下的区间网络。根据模糊扩展定理可知，这些区间网络的工期范围即为模糊网络总工期的α截集，由此可以构建出模糊网络总工期隶属函数。依据Chanas提出的模糊网络路径关键度定义，利用区间网络关键路径与模糊网络关键度的关系，计算出所有路径的关键度。列举了一个活动持续时间为LR型模糊数的模糊网络总工期隶属函数和路径关键度运算实例。

Analysis of total duration's membership function and path criticality in a fuzzy network

In order to obtain the total duration＇s membership function and the path criticality of a fuzzy network, based on the fuzzy extension principle and the concept of fuzzy cut, this paper converted the fuzzy network to a series of interval networks under different a levels through computing the fuzzy cut of all the activities. According to the fuzzy extension principle, the duration ranges of these interval networks are substantively the total duration＇s a cuts of the fuzzy network, so the total duration＇s membership function can be easily formulated. In addition, according to the definition of fuzzy network＇s path criticality by Chanas, all the path criticalities were computed by utilizing the relationship between the critical path of interval networks and the path criticality of the fuzzy network. An example of computing the total duration＇s membership function and path criticality of a fuzzy network with LR fuzzy numbers was illustrated.