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目标系数模糊型模糊关系线性规划 被引量:3

Fuzzy Relation Linear Programming with Fuzzy Objective Coefficient
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摘要 提出了目标系数模糊型模糊关系线性规划问题,这是传统模糊关系线性规划的扩展.以三角模糊数为例,基于它的一种排序方法给出了求解该类规划的一个算法.最后,为了说明算法的有效性给出了两个数值例子. We present fuzzy relation linear programming with fuzzy objective coefficient, this programming is expand to conventional fuzzy relation linear programming. Based on a ranking of triangular fuzzy number, and then a solution procedure is given by branch-and-bound method. And finally, two practical examples are given for illustration purpose.
出处 《数学的实践与认识》 CSCD 北大核心 2008年第4期105-112,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(70771030)
关键词 模糊关系方程 三角模糊数 模糊关系线性规划 目标模糊系数 最优解 fuzzy programming fuzzy relation equations triangular fuzzy number fuzzy relation linear objective coefficient optimal solution
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参考文献18

  • 1Bellmann R, Zadeh L A. Decision making in fuzzy environment [J]. Management Science, 1970,17 (4) : 141-164.
  • 2Zimmermann H J. Fuzzy programming and linear programming with several objective functions[J]. Fuzzy Sets and Systems, 1978,1(1) :45-55.
  • 3Bitran G R. Linear multiple objective problems with interval coefficients[J]. Management Sci, 1980,26(7):694-706.
  • 4Cao B Y. Fuzzy Geometric Programming[M]. Dordreeht: Kluwer Academic Publishers,2002.
  • 5Wang P Z, Zhang D Z, Sanchez E, Lee E S. Latticized linear programming and fuzzy relation inequalities[J]. Journal of Mathematical Analysis and Applications, 1991,159 (1) : 72-87.
  • 6LIU B D. Uncertain Programming[M]. New York.. Wiley,1999.
  • 7Sanchez E. Resolution of composite fuzzy relation equations[J]. Information and Control, 1976,30(1):38-48.
  • 8Fang S C, Li G Z. Solving fuzzy relation with a linear objective function[J]. Fuzzy Sets and Systems, 1999,103:107-113.
  • 9Wu Y K, Guu S M, Liu J Y. An accelerated approach for solving fuzzy relation equations with a linear vbjective funetion[J]. IEEE Transactions on Fuzzy Systems,2002,10(4):552-558.
  • 10Wu Y K, Guu S M. A note on fuzzy relation programming problems with Max-Strict-t-Norm composition[J]. Fuzzy Optimization and Decision Making, 2004,3 (3) : 271-278.

二级参考文献11

  • 1Birkhoff G. Lattice Theory. 3th Ed., Vol.XXV, AMS Colloquium Publications, 1979.
  • 2Sanchez E. Resolution of composite fuzzy relation equations. Inform. and Control, 1976, 30: 38-48.
  • 3Szaz G. Introduction to Lattice Theory. 3rd Ed., New York: Academic Press, 1963.
  • 4Di Nola A, Sessa S, Pedrycz W and Sanchez E. Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Dordrecht, Boston/London: Kluwer Academic Publishers, 1989.
  • 5Di Nola A, Sessa S, Pedrycz W, Higashi M. Minimal and maximal solutions of a decomposition problem of fuzzy relations. Int. J. General Systems, 1985, 11: 103-116.
  • 6Higashi M and George J K. Resolutions of finite fuzzy relation equations. Fuzzy Sets and Systems, 1984,13: 65-82.
  • 7Di Nola A. On solving relational equations in Brouwerian lattices. Fuzzy Sets and Systems, 1990, 34:365-376.
  • 8Wang Xueping. Method of solution to fuzzy relation equations in a complete Brouwerian lattice. Fuzzy Sets and Systems, to appear.
  • 9Birkhoff G. Lattice Theory. Revised Ed., Vol. XXV, AMS Colloquium Publications, 1984.
  • 10Crawley P and Dilworth R P. Algebraic Theory of Lattice. Englewood Cliffs, NJ: Prentice-Hall, 1973.

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