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
  • [41] Fuzzy linear matrix equation
    Allahviranloo, T.
    Mikaeilvand, N.
    Barkhordary, M.
    FUZZY OPTIMIZATION AND DECISION MAKING, 2009, 8 (02) : 165 - 177
  • [42] Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance
    Amirfakhrian, Majid
    SOFT COMPUTING, 2012, 16 (06) : 1035 - 1041
  • [43] Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance
    Majid Amirfakhrian
    Soft Computing, 2012, 16 : 1035 - 1041
  • [44] Solutions of The Fully Fuzzy Linear System
    Mikaeilvand, Nasser
    Allahviranloo, Tofigh
    MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE, 2009, 1124 : 234 - +
  • [45] SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX
    Hashemi, M. S.
    Mirnia, M. K.
    Shahmorad, S.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2008, 5 (03): : 15 - 29
  • [46] Linear System of Equations with Trapezoidal Fuzzy Numbers
    Nasseri, S. H.
    Gholami, M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2011, 3 (01): : 71 - 79
  • [47] The General Solutions of Fuzzy Linear Matrix Equations
    Mikaeilvand, N.
    Noeiaghdam, Z.
    JOURNAL OF MATHEMATICAL EXTENSION, 2015, 9 (04) : 1 - 13
  • [48] EXACT AND APPROXIMATE SOLUTIONS OF FUZZY LR LINEAR SYSTEMS: NEW ALGORITHMS USING A LEAST SQUARES MODEL AND THE ABS APPROACH
    Ghanbari, R.
    Mahdavi-Amiri, N.
    Yousefpour, R.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2010, 7 (02): : 1 - 18
  • [49] STABILITY OF THE CONVEX LINEAR COMBINATION OF POSITIVE LINEAR SYSTEMS
    Kaczorek, Tadeusz
    ASIAN JOURNAL OF CONTROL, 2013, 15 (06) : 1850 - 1857
  • [50] Splitting iterative methods for fuzzy system of linear equations
    Yin J.-F.
    Wang K.
    Computational Mathematics and Modeling, 2009, 20 (3) : 326 - 335
12345