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

LI Bin,DU Zhi-da,TONG Xing-juan (School of Civil an Hydraulic Engineering,Dalian University of Technology,Dalian 116023,China)
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 α 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 α 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.
【CateGory Index】： TU72
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