Solving Multi-Objective Linear Programming Problems with Fuzzy Interval Based on Decomposition Method


Mohamed Solomon, Ph.D. Researcher, Mohamed Saied Abd-Alla, M.Sc. Researcher
Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt.


Most of the problems in real-world situations have a multi-objective, in these situations, available information in the system is not exact or imprecise. In this paper, solving multi-objective linear programming problems with fuzzy non-negative intervals such as objective function coefficients, technical coefficients, and fuzzy variables by using an approximation but a convenient method called decomposition method has been proposed. In the composition method, ranking functions are not used. With the help of numerical examples, the method is illustrated.