Solving fully fuzzy matrix equations

被引:31
|
作者
Otadi, Mahmood [1 ]
Mosleh, Maryam [1 ]
机构
[1] Islamic Azad Univ, Dept Math, Firoozkooh Branch, Firoozkooh, Iran
关键词
Fuzzy numbers; Fully fuzzy matrix equations; Linear programming; LINEAR-SYSTEMS; DECOMPOSITION METHOD;
D O I
10.1016/j.apm.2012.02.005
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, a new method is proposed to find the fuzzy optimal solution of fuzzy linear programming problems. Recently, fuzzy linear systems are considered by Kumar et al. [14]. In this paper, we employ linear programming (abbreviated to LP) with equality constraints to find a non-negative fuzzy number matrix (X) over tilde which satisfies (AX) over tilde = (B) over tilde. where (A) over tilde and (B) over tilde are two fuzzy number matrices. To illustrate the easy application of the proposed method, numerical examples are given and the obtained results are discussed. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:6114 / 6121
页数:8
相关论文
共 50 条
  • [1] Evaluation of fully fuzzy matrix equations by fuzzy neural network
    Mosleh, Maryam
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (09) : 6364 - 6376
  • [2] Fuzzy Minimal Solution of Dual Fully Fuzzy Matrix Equations
    Shang, Dequan
    Guo, Xiaobin
    PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, SIMULATION AND MODELLING, 2016, 41 : 373 - 377
  • [3] A Novel Technique to Solve Fully Fuzzy Nonlinear Matrix Equations
    Jafari, Raheleh
    Razvarz, Sina
    Gegov, Alexander
    13TH INTERNATIONAL CONFERENCE ON THEORY AND APPLICATION OF FUZZY SYSTEMS AND SOFT COMPUTING - ICAFS-2018, 2019, 896 : 886 - 892
  • [4] Numerical solution of fully fuzzy linear matrix equations
    Liu, Kun
    Gong, Zeng-Tai
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (06) : 1026 - 1035
  • [5] Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations
    Guo, Xiaobin
    Shang, Dequan
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [6] Approximate solution of dual fuzzy matrix equations
    Gong, Zengtai
    Guo, Xiaobin
    Liu, Kun
    INFORMATION SCIENCES, 2014, 266 : 112 - 133
  • [7] Solving fuzzy fractional differential equations with applications
    Osman, Mawia
    Xia, Yonghui
    ALEXANDRIA ENGINEERING JOURNAL, 2023, 69 : 529 - 559
  • [8] Solving LR fuzzy linear matrix equation
    Guo, X.
    Shang, D.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2019, 16 (05): : 33 - 44
  • [9] Fuzzy harmonic mean technique for solving fully fuzzy multi-objective transportation problem
    Kacher, Yadvendra
    Singh, Pitam
    JOURNAL OF COMPUTATIONAL SCIENCE, 2022, 63
  • [10] SOLVING SYSTEMS OF LINEAR FUZZY EQUATIONS
    BUCKLEY, JJ
    QU, Y
    FUZZY SETS AND SYSTEMS, 1991, 43 (01) : 33 - 43