An extension method for fully fuzzy Sylvester matrix equation

被引：1
|
作者：
Hou, Liangshao [1 ]
Zhou, Jieyong [2 ]
He, Qixiang [3 ,4 ]
机构：
[1] Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Kowloon, Hong Kong, Peoples R China
[2] Shanghai Univ Finance & Econ, Lab Computat Math, Shanghai Key Lab Financial Informat Technol, Math Sch, Shanghai 200433, Peoples R China
[3] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China
[4] Shanghai Univ Finance & Econ, Zhejiang Coll, Shanghai 321013, Zhejiang, Peoples R China
来源：
SOFT COMPUTING | 2021年 / 25卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Fuzzy number; Fully fuzzy Sylvester matrix equation; Interval analysis; alpha-cut;
D O I：
10.1007/s00500-021-05573-z
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
An extension method is proposed to solve a class of fully fuzzy Sylvester matrix equation (FFSME) under some mild assumptions. This method consists of two steps. Firstly, the fully fuzzy system is transferred into a series of interval Sylvester matrix equations through alpha-cut. Secondly, these interval systems are extended into crisp systems which is easy to be solved. The solutions of FFSME are not presumed to be triangular-type fuzzy numbers. Moreover, some examples are presented to show the validity of our method.
引用
收藏
页码：5763 / 5774
页数：12
相关论文
共 50 条
  • [1] An extension method for fully fuzzy Sylvester matrix equation
    Liangshao Hou
    Jieyong Zhou
    Qixiang He
    Soft Computing, 2021, 25 : 5763 - 5774
  • [2] Fully fuzzy Sylvester matrix equation
    Dookhitram, Kumar
    Lollchund, Roddy
    Tripathi, Rakesh Kumar
    Bhuruth, Muddun
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (05) : 2199 - 2211
  • [3] On the solution of the fully fuzzy Sylvester matrix equation
    Keyanpour, Mohammad
    Salkuyeh, Davod Khojasteh
    Moosaei, Hossein
    Ketabchi, Saeed
    INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION, 2020, 40 (01): : 80 - 85
  • [4] On the solution of fully fuzzy Sylvester matrix equation with trapezoidal fuzzy numbers
    Ahmed Abdel Aziz Elsayed
    Nazihah Ahmad
    Ghassan Malkawi
    Computational and Applied Mathematics, 2020, 39
  • [5] On the solution of fully fuzzy Sylvester matrix equation with trapezoidal fuzzy numbers
    Elsayed, Ahmed Abdel Aziz
    Ahmad, Nazihah
    Malkawi, Ghassan
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
  • [6] Trapezoidal fully fuzzy Sylvester matrix equation with arbitrary coefficients
    Elsayed, Ahmed Abdelaziz
    Ahmad, Nazihah
    Malkawi, Ghassan
    SOFT COMPUTING, 2024, 28 (05) : 4593 - 4606
  • [7] A Preliminary Study on the Solution of Fully Fuzzy Sylvester Matrix Equation
    Daud, Wan Suhana Wan
    Ahmad, Nazihah
    Malkawi, Ghassan
    INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICOMEIA2016), 2016, 1775
  • [8] Solving Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation
    Elsayed, Ahmed Abdel Aziz
    Ahmad, Nazihah
    Malkawi, Ghassan
    FUZZY INFORMATION AND ENGINEERING, 2022, 14 (03) : 314 - 334
  • [9] Arbitrary Generalized Trapezoidal Fully Fuzzy Sylvester Matrix equation
    Elsayed A.A.
    Ahmad N.
    Malkawi G.
    Int. J. Fuzzy Syst. Appl., 1
  • [10] Positive Fuzzy Minimal Solution for Positive Singular Fully Fuzzy Sylvester Matrix Equation
    Daud, Wan Suhana Wan
    Ahmad, Nazihah
    Malkawi, Ghassan
    PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE, 2018, 1974
12345