Model and algorithm of the bi-level multiple followers linear programming with trapezoidal fuzzy decision variables. (Chinese. English summary) Zbl 1474.90284
Summary: The bi-level multiple followers linear programming model with trapezoidal fuzzy decision variables is firstly established in this paper, which is widely applied to multi-level management systems with hierarchical features. By using the fuzzy structured element theory, the ordering of trapezoidal fuzzy numbers is transformed into the ordering of monotone bounded functions through the fuzzy numbers structured element weighted order, and the model’s optimal solution is proved to be equivalent to the optimal solution of the bi-level multiple followers linear programming model, and the effective algorithm is designed. Finally, two illustrative numerical examples are provided to demonstrate the feasibility of the proposed method.
MSC:
90C05 | Linear programming |
90C08 | Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) |
90C70 | Fuzzy and other nonstochastic uncertainty mathematical programming |