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An iterative goal programming approach for solving fuzzy multiobjective integer linear programming problems. (English) Zbl 1082.65542
Summary: This paper presents an iterative goal programming approach for solving fuzzy multiobjective integer linear programming problems. These problems involve fuzzy parameters in the right-hand side of the constraints. The concept of a level set of these fuzzy parameters is introduced with the definition of their membership function. A solution algorithm is described in sequential steps to solve the formulated model. The suggested approach is mainly based on the iterative goal programming technique together with Gomory cuts. An illustrative numerical example is given to clarify the theory and the solution algorithm.
MSC:
65K05Mathematical programming (numerical methods)
90C29Multi-objective programming; goal programming
90C05Linear programming
90C10Integer programming