一类可能性线性规划问题
A Kind of Problems in Possibilistic Linear Programming
摘要
提出具有模糊约束的可能性线性规划问题,给出了求解方法,得到了问题的解.
Problems of possibilistic linear programming with fuzzy constraints are considered.The solving method is presented.Solutions to them are obtained.
关键词
可能性线性规划
模糊约束
模糊数
模糊变量
可能性分布
求解
possibilistic linear programming
fuzzy constraints
fuzzy numbers
fuzzy variables
possibility distribution
参考文献12
-
1M. Delgado, J. L. Verdegay M. A. Vila. A general model for fuzzy linear programming [ J ], Fuzzy Sets and Systems, 29(1989) ,21 - 29.
-
2L, Campos,J. L. Verdegay. Linear programming problems and ranking of fuzzynumbers[J],Fuzzy Sets and Systems,32(1989), 1 - 12.
-
3J.J. Buckley. Solving possibilistic linear programming problems[ J ], Fuzzy Sets and Systems, 31 ( 1989 ), 329 - 341.
-
4J.J.Buckley. Possibilistic inear programming with triangular fuzzy numbers[J]. Fuzzy Sets and Systems,26(1988),135-138.
-
5B. Juien. An extension to possibilistic linear programming[J].Fuzzy Sets and Systems,64(1994),195- 206.
-
6Yongqiang Cao,Xialfei Qu. On possibility distribution[J ]. Fuzzy Sets and Systems,69(1995), 171 - 179.
-
7D. Dubois,H. Prade. Fuzzy Sets and Systems Theory and Applications. Academic Press[M].New York:1980.
-
8D. Dubois, H. Prade. Possibility Theory, An Approach to Computerized Processing of Uncertsinty. Plenum Press. New York;1988.
-
9M.K. Luhandjula. On possibilistic linear prngramming[J]. Fuzzy Sets and Systems, 18(1986), 15 - 30.
-
10M.K. Luhandjula. Fuzzy optimization:an appraisal[J]. Fuzzy Sets and Systems,30(1989) ,257 - 282.
-
1张艳娥,孙建平,纪爱兵.带有等式约束的可能性线性规划问题的一种解法[J].河北大学学报(自然科学版),1999,19(2):116-118.
-
2闫立梅.系数为梯形模糊数的可能性线性规划[J].长春师范学院学报(自然科学版),2005,24(5):13-15. 被引量:4
-
3闫立梅,韩海山.具有模糊系数的可能性线性规划[J].内蒙古民族大学学报(自然科学版),2005,20(2):125-127. 被引量:3
-
4刘海涛,郭嗣琮.基于结构元方法的可能性线性规划[J].数学的实践与认识,2012,24(8):106-112. 被引量:8
-
5张艳娥,孙建平,纪爱兵,刘国义.解带有等式约束的可能性线性规划问题[J].模糊系统与数学,2000,14(1):74-77. 被引量:3
-
6刘显全,王宏,丁朝远.区间数线性规划及其满意解的一个注记[J].重庆教育学院学报,2003,16(6):5-8. 被引量:2
-
7李荣钧.以模糊数排序为基础的可能性线性规划分析——兼与文献[1]作者商榷[J].模糊系统与数学,2002,16(4):106-109. 被引量:4