模糊线性规划的一种对偶方法  

A dual approach in fuzzy linear programming

作　　者：李钢[1] 黄玉林[1] 

机构地区：[1]山东轻工业学院数理科学系,山东济南250100

出　　处：《山东轻工业学院学报（自然科学版）》2005年第1期60-65,共6页Journal of Shandong Polytechnic University

摘　　要：　在分析带有间断数系数的线性规划问题的基础上,文章提出了带有模糊系数的模糊线性规划的对偶:在一定优化水平下,模糊线性规划对偶于一对经典的线性规划。另外,文章中还分析了两类模糊线性规划(一类是带有模糊约束,经典目标的模糊线性规划,另一类是带有模糊目标,经典约束的模糊线性规划)的对偶关系。In the paper,the duality of fuzzy linear programming with fuzzy coefficients was proposed based on the analysis of interval number linear programming.Fuzzy linear programming is dual to a pair of crisp linear programming under certain optimization conditions.Moreover,the dual relationship of the two classes of fuzzy liner programming was also put forward.

关 键 词：模糊线性规划 间断数 对偶 模糊系数 模糊约束 

分 类 号：O221.1[理学—运筹学与控制论]