Parametric α-level method of λ-continuation for fuzzy linear programming problem

The article considers the well-known method of four fuzzy linear programming problems, which is generalized to the parametric α -level method of λ-continuation. The proposed method makes it possible to reduce the number of cases considered from four to two, and obtain additional solutions on subsets of the square α-λ. The advantage of the proposed approach is that one task includes the previous four tasks as special cases. This method allows us to obtain more general and flexible solutions and to influence the properties of a linear optimization problem: degree of membership, sensitivity, stability. We also give the numerical example of the new method implementation in the programming support environment MathCAD.