摘要
通过研究一类约束条件和目标系数中均含有三角模糊数的整数规划,利用模糊结构元理论,证明了一类系数为三角模糊数的整数规划的最优解等价于整数规划的最优解,得到了求解该模型的算法。通过算例验证了理论的正确性和算法的可行性。
Based on the fact that both a class of integer programming constraints and objective coefficients contain triangular fuzzy numbers, a research has been conducted, by applying the fuzzy structured element theory, to successfully reach the conclusion that the optimal solution of a class of integer programming with triangular fuzzy number is equivalent to that of the integer programming, thus obtaining an effective algorithm for solving the model, verifying the validity of the theory and the feasibility of the algorithm with numerical examples.
出处
《湖南工业大学学报》
2016年第5期77-80,86,共5页
Journal of Hunan University of Technology
基金
湖南省自然科学基金资助项目(2016JJ2043)
湖南省教育厅科学研究基金资助项目(16C0472
15C0537)
关键词
三角模糊数
整数规划
模糊结构元
triangular fuzzy number
integer programming
fuzzy structured element
