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一类灰线性规划及其对偶理论研究
引用本文:李毛亲,段虞荣.一类灰线性规划及其对偶理论研究[J].重庆大学学报(自然科学版),1989,12(4):22-29.
作者姓名:李毛亲  段虞荣
作者单位:重庆大学应用数学系 (李毛亲),重庆大学应用数学系(段虞荣)
摘    要:本文讨论了一类灰系数为区间的灰线性规划,定义了其第一和第二白化线性规划及其灰对偶规划,探讨了它们的解与原规划的解之间的关系,并得出了一些新的结论。

关 键 词:灰线性  规划  对偶  灰可行解  最优解

RESEARCH ON A KIND OF GREY LINEAR PROGRAMMING AND THEIR DUAL THEORIES
Li Maoqin Duan Yurong.RESEARCH ON A KIND OF GREY LINEAR PROGRAMMING AND THEIR DUAL THEORIES[J].Journal of Chongqing University(Natural Science Edition),1989,12(4):22-29.
Authors:Li Maoqin Duan Yurong
Institution:Li Maoqin Duan Yurong
Abstract:In this paper, a kind of grey linear programming with grey interval coefficients is discussed,the definitions of the first and second whitenized linear programmlngs and the grey dual linear programmings are presented, the relationships between the solutions of the above three kinds of programming and the solution of the primal programming are explored, and some new conclusions are obtained.
Keywords:grey linear programming  the first whitenized linear programming  the second whitenized linear programming  grey dual linear programming} grey feasible solution  grey optimal solution  
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