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模糊关系二次规划问题的全局最优解 被引量：2

The Global Optimal Solutions for Fuzzy Relation Quadratic Programming
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摘要 研究了一类目标函数为二次函数,约束是模糊关系方程的模糊关系二次规划问题,这是一类复杂的非凸最优化问题。首先,我们阐述了该类规划可行集的结构。其次,针对目标函数的不同情况给出了求全局最优解的算法。最后通过几个数值例子验证了算法的有效性。 In this paper, the fuzzy relation quadratic programming with quadratic objective function and fuzzy relation equation problems. Firstly, the optimal solution is given constraint is presented, it is a kind of complicated nonconvex optimization structure of feasible set is described. Secondly, the algorithm of solving global based on the difference of objective functions. Finally, several numerical examples are given to verify the validity of the algorithm.
作者 杨吉会 曹炳元 吕杰
机构地区 沈阳农业大学理学院 沈阳农业大学经济管理学院 广州大学数学与信息科学学院
出处 《模糊系统与数学》 CSCD 北大核心 2013年第6期154-161,共8页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(70771030) 沈阳农业大学博士后基金资助项目
关键词 模糊关系方程 二次函数 可行集 模糊关系二次规划 全局最优解 Fuzzy Relation Equation Quadratic Programming Global Optimal Solution Function Feasible Set Fuzzy Relation Quadratic
分类号 O189 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献11

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模糊系统与数学
2013年 第6期

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