A multi-objective fuzzy project selection problem considering social responsibility and risk

This paper present an extended multi-objective project selection (PS) problem with fuzzy parameters. The extended proposed fuzzy PS problem attempts to simultaneously maximize total project benefits and social responsibility, while total risk and total cost are minimized. The social responsibility objective function is considered in this problem for the first time. Moreover, a number of constraints presenting real-world limitations such as logical and resource restrictions are taken into account. The extended model is classified as a fuzzy multi-objective integer programming model. First, the fuzzy parameters are converted to the crisp numbers. Then, a weighted additive fuzzy programming is applied to solve the model. A numerical example is given to illustrate the proposed model. Computational results show that this method is very promising and efficiently achieves quality results for PS problems.