模糊多目标与多路径运输问题的结构元方法研究

发布时间：2018-11-23 08:09

【摘要】：以模糊结构元的相关理论为工具,针对具有模糊参数的模糊运输问题进行研究.主要是对模型的建立,求解方法、过程以及多路径模糊运输问题的路径选择进行了研究.利用模糊结构元方法,引入模糊数的结构元加权特征值,将目标函数和约束条件中都有三角模糊数的模糊运输模型转化为传统模型.用目标函数定义隶属函数的模糊规划方法求出模型的协调可行解,并且将其方法应用到模糊运输问题中,从而有效地简化了求解过程的运算复杂性.研究备选方案中属性值及权重值均为三角模糊数的模糊多属性决策问题,得到一种模糊VIKOR的结构元方法.利用模糊数的结构元加权特征值,将三角模糊数决策矩阵转化为实数矩阵,通过排序分析得出多属性决策的最优解.将模糊VIKOR的结构元方法运用到模糊运输的路径选择上,使得在多路径的模糊运输中合理准确的选择出最佳路径.
[Abstract]:Based on the theory of fuzzy structure element, the fuzzy transportation problem with fuzzy parameters is studied. This paper mainly studies the establishment of the model, the solution method, the process and the path selection of the multipath fuzzy transportation problem. By using the fuzzy structural element method, the weighted eigenvalue of the structure element of the fuzzy number is introduced, and the fuzzy transport model with triangular fuzzy numbers in the objective function and the constraint condition is transformed into the traditional model. The fuzzy programming method of membership function defined by objective function is used to find the feasible solution of the model, and the method is applied to the fuzzy transportation problem, which simplifies the computational complexity of the solution effectively. In this paper, we study the fuzzy multi-attribute decision making problem in which the attribute value and the weight value are triangular fuzzy number in the alternative scheme, and obtain a structure element method of fuzzy VIKOR. The triangular fuzzy number decision matrix is transformed into real number matrix by using the weighted eigenvalue of the structure element of fuzzy number, and the optimal solution of multi-attribute decision making is obtained by sort analysis. The structure element method of fuzzy VIKOR is applied to the path selection of fuzzy transportation, so that the optimal path can be selected reasonably and accurately in multipath fuzzy transportation.
【学位授予单位】：辽宁工程技术大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O159;O221

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