A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters

Abstract

Several methods currently exist for solving fuzzy linear programming problems under nonnegative fuzzy variables and restricted fuzzy coefficients. However, due to the limitation of these methods, they cannot be applied for solving fully fuzzy linear programming (FFLP) with unrestricted fuzzy coefficients and fuzzy variables. In this paper a new efficient method for FFLP has been proposed, in order to obtain the fuzzy optimal solution with unrestricted variables and parameters. This proposed method is based on crisp nonlinear programming and has a simple structure. To show the efficiency of our proposed method some numerical examples have been illustrated.

Keywords

• Fully fuzzy linear programming
• Crisp nonlinear programming
• Fuzzy arithmetic
• Fuzzy optimal solution
• Triangular fuzzy numbers