| 一类直觉模糊关系线性规划的解 |
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| 引用本文： | 杨吉会,曹炳元. 一类直觉模糊关系线性规划的解[J]. 数学的实践与认识, 2012, 42(19) |
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| 作者姓名： | 杨吉会 曹炳元 |
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| 作者单位： | 1. 沈阳农业大学理学院,辽宁沈阳,110866
2. 广州大学数学与信息科学学院,广东广州,510006 |
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| 摘 要： | 提出了一类目标函数为线性函数,约束是直觉模糊关系方程的最优化问题.这是一类非凸非光滑最优化问题,基于可行域的结构,给出了求全局最优解和最优值的一个算法,最后通过数值例子验证了算法的可行性.
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| 关 键 词： | 直觉模糊关系方程 线性函数 可行域 全局最优解 最优值 |
The Solutions for an Intuitionistic Fuzzy Relation Linear Programming |
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| YANG Ji-hui , CAO Bing-yuan. The Solutions for an Intuitionistic Fuzzy Relation Linear Programming[J]. Mathematics in Practice and Theory, 2012, 42(19) |
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| Authors: | YANG Ji-hui CAO Bing-yuan |
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| Abstract: | In this paper,the linear programming with intuitionistic fuzzy relation equation constraint is presented,it is a kind of nonconvex and nonsmooth optimization problems. The algorithm is proposed to solving global optimal solution and optimal value based on the structure of feasible field.Finally,the numerical examples is given to verify the feasibility of the algorithm. |
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| Keywords: | intuitionistic fuzzy relation equation linear function feasible field global optimal solution optimal value |
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