| 一类系数为梯形模糊数的两层线性规划 |
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| 引用本文： | 周喜华,黄晓红,陈敏娜,邓胜岳,周婷.一类系数为梯形模糊数的两层线性规划[J].数学的实践与认识,2017(8):206-214. |
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| 作者姓名： | 周喜华 黄晓红 陈敏娜 邓胜岳 周婷 |
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| 作者单位： | 1. 广东环境保护工程职业学院基础教育部,广东佛山,528216;2. 湖南工业大学理学院,湖南株洲,412007 |
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| 基金项目： | 湖南省自然科学基金(2016JJ2043)，湖南省教育厅科学研究项目(16C0472;15C0537)，广东环境保护工程职业学院院长基金项目(JG201509022) |
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| 摘 要： | 讨论了一类系数为梯形模糊数的两层线性规划问题,首先是利用模糊结构元理论将梯形模糊数去模糊化,将其转化成常规的两层线性问题,并验证其去模糊化后的常规的两层线性规划的最优解与系数为梯形模糊数的两层线性规划问题的最优解一致,并给出具体的算法,数例进行验证.
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| 关 键 词： | 模糊结构元 梯形模糊数 两层线性规划 最优解 |
A Class of two Linear Programming with Trapezoidal Fuzzy Number |
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| ZHOU Xi-hua,HUANG Xiao-hong,CHEN Min-na,DENG Sheng-yue,ZHOU Ting.A Class of two Linear Programming with Trapezoidal Fuzzy Number[J].Mathematics in Practice and Theory,2017(8):206-214. |
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| Authors: | ZHOU Xi-hua HUANG Xiao-hong CHEN Min-na DENG Sheng-yue ZHOU Ting |
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| Abstract: | Bilevel linear programming problem of this paper discusses a class of coefficient of trapezoid fuzzy number,The first is the trapezoidal fuzzy number fuzzy by use of fuzzy structured element theory,transforming it into two layers of linear problems,and to verify the fuzzy after the conventional bilevel linear programming optimal solution for linear programming problem with two layers of trapezoidal fuzzy number coefficients for.And give a specific algorithm,the number of cases to verify. |
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| Keywords: | fuzzy structuredelement trapezoidal fuzzy number bilevel linear programming optimal solution |
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