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
来源：
FUZZY SETS AND SYSTEMS | 1998年 / 96卷 / 02期
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
  • [11] FUZZY INCLUSION LINEAR SYSTEMS
    Ghanbari, M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2017, 14 (04): : 117 - 137
  • [12] A note on "Fuzzy linear systems"
    Allahviranloo, T.
    Ghanbari, M.
    Hosseinzadeh, A. A.
    Haghi, E.
    Nuraei, R.
    FUZZY SETS AND SYSTEMS, 2011, 177 (01) : 87 - 92
  • [13] Iterative solution of fuzzy linear systems
    Dehghan, Mehdi
    Hashemi, Behnam
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) : 645 - 674
  • [14] Kaczmarz Method for Fuzzy Linear Systems
    Bian, L.
    Zhang, S.
    Wang, S.
    Wang, K.
    RUSSIAN MATHEMATICS, 2021, 65 (12) : 20 - 26
  • [15] Kaczmarz Method for Fuzzy Linear Systems
    L. Bian
    S. Zhang
    S. Wang
    K. Wang
    Russian Mathematics, 2021, 65 : 20 - 26
  • [16] MINIMAL SOLUTION OF FUZZY LINEAR SYSTEMS
    Otadi, M.
    Mosleh, M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (01): : 89 - 99
  • [17] 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
  • [18] A Geometric Approach to Solve Fuzzy Linear Systems
    Gasilov, Nizami
    Amrahov, Sahin Emrah
    Fatullayev, Afet Golayoglu
    Karakas, Halil Ibrahim
    Akin, Omer
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2011, 75 (3-4): : 189 - 203
  • [19] Reduction of fuzzy linear systems of dual equations
    Yeh, Chi-Tsuen
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2007, 9 (03) : 173 - 178
  • [20] Perturbation Bounds of LR Fuzzy Linear Systems
    Liu, Kun
    Guo, Xiaobin
    FUZZY INFORMATION AND ENGINEERING, 2024, 16 (04) : 330 - 345
12345