Applying fuzzy multi-objective linear programming to project management decisions with the interactive two-phase method

• We develop an interactive two-phase method to solve the fuzzy multi-objective decision problems.
• We establish the consideration of the imprecise nature of the data by fulfilling the possibilistic linear programming (PLP) model.
• Our proposed model can minimize total project costs, total completion time and total crashing costs.
• A numerical example is presented.
• Results show that our model can be applied as an effective tool.

The aim of this paper is to develop an interactive two-phase method that can help the Project Manager (PM) with solving the fuzzy multi-objective decision problems. Therefore, in this paper, we first revisit the related papers and focus on how to develop an interactive two-phase method. Next, we establish to consider the imprecise nature of the data by fulfilling the possibilistic programming model, and we also assume that each objective work has a fuzzy goal. Finally, for reaching our objective, the detailed numerical example is presented to illustrate the feasibility of applying the proposed approach to PM decision problems at the end of this paper. Results show that our model can be applied as an effective tool. Furthermore, we believe that this approach can be applied to solve other multi-objective decision making problems.