| 一类系数为梯形模糊数的整数规划 |
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| 引用本文： | 周喜华,石盟盟,邓胜岳,彭金花.一类系数为梯形模糊数的整数规划[J].数学的实践与认识,2017(5):171-178. |
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| 作者姓名： | 周喜华 石盟盟 邓胜岳 彭金花 |
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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教改青年项目(JG201303021) |
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| 摘 要： | 介绍了模糊数学和整数规划的背景、现状、以及发展趋势,并以模糊结构元理论定义了梯形模糊加权序,进一步证明了模糊整数规划模型的最优解等价于整数规划模型的最优解,再利用整数规划模型的最优解的求解方法求解模糊整数规划模型的最优解,最后,通过算例验证方法的可行性.
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| 关 键 词： | 模糊结构元 模糊整数规划 最优解 |
Integer Programming with Trapezoidal Fuzzy Numbers for a Class of Coefficients |
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| ZHOU Xi-hua,SHI Meng-meng,DENG Sheng-yue,PENG Jin-hua.Integer Programming with Trapezoidal Fuzzy Numbers for a Class of Coefficients[J].Mathematics in Practice and Theory,2017(5):171-178. |
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| Authors: | ZHOU Xi-hua SHI Meng-meng DENG Sheng-yue PENG Jin-hua |
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| Abstract: | In this paper,it introduced fuzzy mathematics and integer programming background,current situation,and development trend,and based on the fuzzy structured element theory to define the trapezoidal fuzzy ordered weighted,which further proves the fuzzy integer programming model for the optimal solution is equivalent to an integer programming model for the optimal solution,the integer programming model for the optimal solution method to solve fuzzy integer programming model for the optimal solution.Finally,the feasibility of the method is verified by a numerical example. |
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| Keywords: | fuzzy structured element fuzzy integer programming optimal solution |
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