Computer Engineering and Applications ›› 2016, Vol. 52 ›› Issue (13): 228-231.

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Model of fuzzy linear programming in capacity allocation of mine based on fuzzy structured element

SHAO Liangshan1, ZHAO Linlin1, ZHANG Yanju2   

  1. 1.System Engineering Institute, Liaoning Technical University, Huludao, Liaoning 125000, China
    2.School of Business Administration, Liaoning Technical University, Huludao, Liaoning 125000, China
  • Online:2016-07-01 Published:2016-07-15

基于结构元矿山产能分配模糊线性规划模型

邵良杉1,赵琳琳1,张艳菊2   

  1. 1.辽宁工程技术大学 系统工程研究所,辽宁 葫芦岛 125000
    2.辽宁工程技术大学 工商管理学院,辽宁 葫芦岛 125000

Abstract: 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 information for managerial decision is provided.

Key words: capacity allocation, fuzzy linear programming, fuzzy structured element, subordinate function, order

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。

关键词: 产能分配, 模糊线性规划, 模糊结构元, 隶属函数,