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.
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