基于结构元矿山产能分配模糊线性规划模型

摘要

在矿山产能分配中,矿产品的大约利润、生产所需大约资源及提供生产的大约资源均为模糊数,综合模糊数学与模糊线性规划特点,建立基于结构元素的矿山产能分配的模糊线性规划预测模型.运用模糊结构元理论,将模型中用三角模糊数表达的模糊数用结构元表示,使模型中的参数的隶属函数得到解析表达,进而利用结构元加权序理论,将模型转为经典线性规划模型,实现对实际问题中的模糊事件的精确表达;且约束条件数目相对较少,简化了原模型求解,进而得到某矿山产能取得最大可能利润时的分配,可为决策者提供更精确信息.%For mine capacity allocation, the fuzzy conditions about minerals are considered, i.e., the fuzzy profits, the fuzzy resources needed, the fuzzy resources to provide production. Considering the characteristics of fuzzy mathematics and fuzzy linear programming, the predicting model of fuzzy linear programming based on fuzzy structured element is constructed for mine production allocation. Fuzzy structured element theory is used to analyze fuzzy numbers by triangular fuzzy numbers, and obtain the membership functions, and then the structured element weighting order is used to transform the model into the linear programming model. Fuzzy conditions are analyzed exactly in actual problems, the constraints are less, and the resolution is simplified, the fuzzy allocation is obtained with most fuzzy profit, more abundant informa-tion for managerial decision is provided.