一种基于直觉模糊集的模糊线性规划模型及其应用

摘要

Based on the fuzzy linear programming model introduced by Verdegay, an intuitionistic fuzzy linear programming model was abtained with its constraints described by intuitionistic fuzzy number. According to the cut set of intuitionistic fuzzy set, this model was transformed into classic parameter programming mode. This model is very suitable for solving linear programming problems with incomplete information. The feasibility and practicability of the proposed intuitionistic fuzzy linear programming model was verified by analyzing a practical example.%　　在 Verdegay 提出的模糊线性规划模型的基础上，利用直觉模糊数描述线性规划模型中的约束条件，得到一种直觉模糊线性规划模型，根据直觉模糊集截集的定义，将直觉模糊线性规化模型转化为经典的参数规划模型求解。这一模型非常适合解决信息不完全的线性规划问题。通过企业生产管理中的一个实例说明了本文所提出的直觉模糊线性规划模型的可行性和实用性。