Solutions to Fuzzy Linear Systems

被引:0
作者
Zhu, Yuanguo [1 ]
Joutsensalo, Jyrki [2 ]
Hamalainen, Timo [2 ]
机构
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
[2] Univ Jyvaskyla, Fac Informat Technol, Dept Math Informat Technol, FIN-40351 Jyvaskyla, Finland
来源
INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL | 2010年 / 13卷 / 01期
基金
中国国家自然科学基金;
关键词
fuzzy linear system; expected value solution; optimistic value solution; pessimistic value solution; fuzzy simulation; Moore-Penrose generalized inverse; SOLVING SYSTEMS;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
To the fuzzy linear system where the coefficients are fuzzy variables, the concepts of expected value solution, optimistic value solution and pessimistic value solution are introduced. Algorithms based on the fuzzy simulations are proposed, and an example is given to show the effectiveness of the proposed algorithms.
引用
收藏
页码:23 / 30
页数:8
相关论文
共 19 条
  • [1] Conjugate gradient method for fuzzy symmetric positive definite system of linear equations
    Abbasbandy, S
    Jafarian, A
    Ezzati, R
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) : 1184 - 1191
  • [2] LU decomposition method for solving fuzzy system of linear equations
    Abbasbandy, S
    Ezzati, R
    Jafarian, A
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) : 633 - 643
  • [3] SOLVING SYSTEMS OF LINEAR FUZZY EQUATIONS
    BUCKLEY, JJ
    QU, Y
    [J]. FUZZY SETS AND SYSTEMS, 1991, 43 (01) : 33 - 43
  • [4] Solution of the fully fuzzy linear systems using iterative techniques
    Dehghan, Mehdi
    Hashemi, Behnam
    Ghatee, Mehdi
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (02) : 316 - 336
  • [5] Iterative solution of fuzzy linear systems
    Dehghan, Mehdi
    Hashemi, Behnam
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) : 645 - 674
  • [6] Fuzzy linear systems
    Friedman, M
    Ming, M
    Kandel, A
    [J]. FUZZY SETS AND SYSTEMS, 1998, 96 (02) : 201 - 209
  • [7] SOME APPLICATIONS OF THE PSEUDOINVERSE OF A MATRIX
    GREVILLE, TNE
    [J]. SIAM REVIEW, 1960, 2 (01) : 15 - 22
  • [8] Liu B., 2002, Theory and practice of uncertain programming
  • [9] Liu B., 2007, Uncertainty theory, V2nd, DOI DOI 10.1007/978-3-642-13959-8
  • [10] Liu B., 2004, Uncertainty theory. An introduction to its axiomatic foundations. Berlin: Springer-Verlag