Fully Fuzzy Linear Programming (FFLP) with a Special Ranking Function for Selection of Substitute Activities in Project Management.

An application of Fuzzy Set theory in management sciences is linear programming problems with fuzzy numbers (FLPs). A project manager is always concerned with driving his projects within the time, resource and scope constraints. This study presents a novel selective tool for choosing the activities and the extent to which each activity is executed. We make use of the simplex method to solve (FFLP) problem. A special ranking function used in project environment, is used to rank fuzzy numbers. The constraints that can be used as substitute are considered. Finally those constraint(s) are selected which maximizes the objective function. Project managers can utilize the algorithm for the selection and allocation of resources. The algorithm is effective and reasonable as is evident from the results of a numerical example.

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