摘要
为了完善和推广资源约束模糊型模糊线性规划理论,提出了一类更具有普适性的资源模糊型模糊线性规划——资源值域上下限模糊型线性规划并进行求解。针对资源值域的上下限值具有模糊性这一特点,设计了此类规划的约束条件表示方法,并给出了求解步骤。以资源取值及其上下限取值皆为三角模糊数的模糊线性规划作为实例求解,结果表明资源模糊型模糊线性规划是一种更普适的模糊线性规划,具备通用的求解方法,对求解实际工程问题有更深刻的意义。
To consummate and generalize theory of fuzzy linear programming with fuzzy resources constraints, a more general fuzzy linear programming with fuzzy resources constraints -- fuzzy linear programming with fuzzy resources value range boundaries is presented and solved. Aiming at dealing with the fuzzy characters of the constraints value range boundaries, the description method of this kind of objective function is proposed and the solving approach is presented. An example with triangular fuzzy membership function is taken as a computation case. The results show that the fuzzy linear programming with fuzzy resources value range boundaries is a more general fuzzy linear programming and it can be solved with the general method. And it is more valuable for solving the actual engineering problems.
出处
《模糊系统与数学》
CSCD
北大核心
2013年第5期82-87,共6页
Fuzzy Systems and Mathematics
基金
轨道交通控制与安全国家重点实验室(北京交通大学)开放课题(RCS2011K004)
国家自然科学基金资助项目(61263027)
甘肃省基本科研业务费项目(620030)
关键词
资源约束
值域
模糊
线性规划
Resources Constraints
Value Range
Fuzzy
Linear Programming