Fuzzy linear systems

被引:326
|
作者
Friedman, M [1 ]
Ming, M [1 ]
Kandel, A [1 ]
机构
[1] Univ S Florida, Dept Comp Sci & Engn, Tampa, FL 33620 USA
关键词
fuzzy linear system; embedding method; nonnegative matrix; inverse matrix;
D O I
10.1016/S0165-0114(96)00270-9
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A general fuzzy linear system is investigated using the embedding approach. Conditions for the existence of a unique fuzzy solution to n x n linear system are derived and a numerical procedure for calculating the solution is designed. The applicability of the proposed model is illustrated with examples. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:201 / 209
页数:9
相关论文
共 50 条
  • [31] Perturbation analysis of fuzzy linear systems
    Tian, Zengfeng
    Hu, Liangjian
    Greenhalgh, David
    INFORMATION SCIENCES, 2010, 180 (23) : 4706 - 4713
  • [32] SOLVING SYSTEMS OF LINEAR FUZZY EQUATIONS
    BUCKLEY, JJ
    QU, Y
    FUZZY SETS AND SYSTEMS, 1991, 43 (01) : 33 - 43
  • [33] MINIMAL SOLUTION OF FUZZY LINEAR SYSTEMS
    Otadi, M.
    Mosleh, M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (01): : 89 - 99
  • [34] Kaczmarz Method for Fuzzy Linear Systems
    L. Bian
    S. Zhang
    S. Wang
    K. Wang
    Russian Mathematics, 2021, 65 : 20 - 26
  • [35] Strong Solutions of the Fuzzy Linear Systems
    Amrahov, Sahin Emrah
    Askerzade, Iman N.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2011, 76 (3-4): : 207 - 216
  • [36] On the stability of fuzzy linear dynamical systems
    Najariyan, Marzieh
    Zhao, Yi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (09): : 5502 - 5522
  • [37] Fully fuzzy linear systems with trapezoidal and hexagonal fuzzy numbers
    Ziqan, Abdelhalim
    Ibrahim, Sabreen
    Marabeh, Mohammad
    Qarariyah, Ammar
    GRANULAR COMPUTING, 2022, 7 (02) : 229 - 238
  • [38] Near zero fuzzy solution of fully fuzzy linear systems
    Guo, Xiaobin
    Liu, Kun
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44 (05) : 8043 - 8052
  • [39] Fully fuzzy linear systems with trapezoidal and hexagonal fuzzy numbers
    Abdelhalim Ziqan
    Sabreen Ibrahim
    Mohammad Marabeh
    Ammar Qarariyah
    Granular Computing, 2022, 7 : 229 - 238
  • [40] Fuzzy linear systems with the two-dimension fuzzy data
    Xiao, Zhiyong
    Gong, Zengtai
    Liu, Kun
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (04) : 5295 - 5315