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目标带有模糊系数的线性规划的一种新解法 被引量:2

New Olution of Objective Linear Programming with Fuzzy Coefficients
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摘要 讨论了目标带有模糊系数的线性规划的一种新解法,利用模糊函数的定义和性质将目标带有模糊系数的线性规划转化为1个有3个目标的线性规划问题,利用多目标规划的逐步宽容算法间接地解决这类问题。通过实例对算法进行了验证,证明了此方法的有效性。 A new solution of objective linear programming with fuzzy coefficients is discussed in this paper.Using the definition of the function and nature of fuzzy,the objective linear programming with fuzzy coefficients can be converted into a three-goal linear programming problem.Then by taking advantage of gradually tolerance algorithm of multi-objective,the preceding question can be solved indirectly.And the effectiveness of this method has been proved by an illustrative numerical example.
出处 《重庆理工大学学报(自然科学)》 CAS 2010年第8期97-99,共3页 Journal of Chongqing University of Technology:Natural Science
基金 陕西省教育厅专项科研基金资助项目(03jk065) 西安建筑科技大学基础研究基金资助项目(02BR01)
关键词 L-R数 多目标线性规划 逐步宽容算法 L-R typed fuzzy coefficient multi-objective linear programming Gradually tolerance algorithm
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参考文献3

  • 1Ishibuchi H,Tanaka H. Multiobjective programming in optimization of the interval objective function [ J ]. Euro-pean Journal of OperationalResearch, 1990,48:219 - 225.
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  • 1李锋,孙宏,周冬梅.航空公司旅客成本收益模型构造[J].西华大学学报(自然科学版),2006,25(3):18-20. 被引量:3
  • 2Zadeh L A. Fuzzy Sets[J]. Information and Control, 1965 (8) : 338-353.
  • 3Zimmermann H J. Fuzzy Programming and Linear Programming with Several Objective Functions[J]. Fuzzy Sets and Systems, 1978(1) :45-55.
  • 4Ishibuchi H, Tanaka H. Multi-objective programming in optimi- zation of the interval objective funetion[J]. European Journal of Operational Research, 1990,48: 219-225.
  • 5Geoffrion A M, Hogan W W. Coordination of Two-level-Organi- zations with Multiple Objective [M]. New York: Academic,1972:455-466.
  • 6陈煜生.应用模糊集方法[M].北京:北京师范大学出版社,1986.
  • 7Bazargan M. Airline operations and seheduling[M]. USA:Ash-gate Publishing Limited, 2006.
  • 8Wu Dong-hua, Xia Hong-shan. Fleet Assignment Problem Study Based on Branch-and-bound Algorithm[C]//IFCSTA 2010 Pro- ceedings. 2010:128-132.
  • 9都业富.机队规划的优化[J].系统工程理论与实践,1997,17(7):136-138. 被引量:10
  • 10王伟,王锦彪.中国民航飞机排班问题的多部图模型[J].交通与计算机,2008,26(4):112-115. 被引量:6

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