【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。更多还原

【Abstract】 In this paper, the fuzzy relation quadratic programming with quadratic objective function and fuzzy relation equation constraint is presented, it is a kind of complicated nonconvex optimization problems. Firstly, the structure of feasible set is described. Secondly, the algorithm of solving globa optimal solutionis given based on the difference of objective functions. Finally, several numerical examples are given to verify the validity of the algorithm.更多还原