摘要
在扩充LR-模糊数定义的基础上,讨论了完全模糊约束条件的近似表示和转化定理;在新的模糊数序关系下,将完全模糊线性规划问题直接转化为分明的线性规划进行求解;与已有的结果进行了比较,并给出了算例.
The approximate representation and transformation theorem of fully fuzzy constraints were investigated firstly by means of the definition of the extended LR fuzzy numbers. The fully fuzzy linear programming problems were solved by being their transformed into crisp linear programming problems under a new ordering of fuzzy numbers. The results obtained were compared with the existing works, and several numerical examples were given too.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第4期546-551,共6页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金项目(61262022)
甘肃省自然科学基金项目(1208RJZA251)
关键词
LR-模糊数
GLR-模糊数
完全模糊线性规划
约束条件的近似表示
目标函数的转化定理
LR fuzzy number
GLR fuzzy number
fully fuzzy linear programming
approximate representation of the constraints
transformation theorem of the objective function
