Possibilistic approach for selection of critical path in multi objective trapezoidal fuzzy environment

This paper contains possibilistic method based on a linear and exponential membership function and its application to define the critical path in project network. It contains four criteria - cost, duration, quality and risk of the project activities which are to be considered as critical in project organisation. A model is formulated for selection of critical path in trapezoidal fuzzy environment. For find the solution of this multi-criteria project management problem fuzzy programming technique with linear and exponential membership is utilized with alpha level set concept. We have provided numerical illustration to validate working of the proposed approach. To analyze the performance of the proposed approach, we have compared it with closely related fuzzy group multi-criteria decision making method for the critical path selection. Degree of satisfaction is calculated for different values of α levels to validate the applicability of this new approach.