论文标题
通过建议的算法解决模糊二次编程问题
Solving Fuzzy Quadratic Programming Problems with a Proposed Algorithm
论文作者
论文摘要
模糊数学理论已被证明在定义和解决优化问题方面非常有效。模糊二次编程（FQP）是这种方法的结果。在本文中，已经提出了一种算法以将FQP作为三角模糊数（TFN）求解。提出的算法将FQP转换为两个参数二次编程（QP）问题。这些QP解决方案在FQP的目标函数上提供了下层和上限。当这两个值重合时，就会实现最佳解决方案。该算法已使用数值示例分析，并与现有方法进行了比较。
The theory of fuzzy mathematics has been proven very effective for defining and solving optimization problems. Fuzzy quadratic programming (FQP) is a consequence of this approach. In this paper, an algorithm has been proposed to solve FQP with coefficients as triangular fuzzy numbers (TFN). The proposed algorithm converts FQP into two parametric quadratic programming (QP) problems. These QP solutions provide a lower and upper bound on the objective function of FQP. When these two values coincide, an optimal solution is achieved. This algorithm has been analyzed using a numerical example and compared with existing methods.
