An application of interval arithmetic for solving fully fuzzy linear systems with trapezoidal fuzzy numbers

E Siahlooei… - Advances in Fuzzy …, 2018 - Wiley Online Library
We present a method for solving fully fuzzy linear systems using interval aspects of fuzzy
numbers. This new method uses a decomposition technique to convert a fully fuzzy linear …

Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden's Method

L Zakaria, W Megarani, A Faisol… - International …, 2023 - search.proquest.com
Fuzzy numbers have many applications in various mathematical models in both linear and
nonlinear forms. In the form of a nonlinear system, fuzzy nonlinear equations can be …

A new solution of pair matrix equations with arbitrary triangular fuzzy numbers

WSW Daud, N Ahmad… - Turkish Journal of …, 2019 - journals.tubitak.gov.tr
Pair matrix equations have numerous applications in control system engineering, such as for
stability analysis of linear control systems and also for reduction of nonlinear control system …

A preliminary study on the solution of fully fuzzy Sylvester matrix equation

WSW Daud, N Ahmad, G Malkawi - AIP Conference Proceedings, 2016 - pubs.aip.org
Sylvester matrix equation is one of the most popular equations used in control theory. In
applying the uncertainty, vague, ambiguity and incomplete real problem, this equation can …

An algorithm for solving an arbitrary triangular fully fuzzy Sylvester matrix equations

WSW Daud, N Ahmad, G Malkawi - AIP Conference Proceedings, 2017 - pubs.aip.org
Sylvester matrix equations played a prominent role in various areas including control theory.
Considering to any uncertainty problems that can be occurred at any time, the Sylvester …

A modification of fuzzy arithmetic operators for solving near-zero fully fuzzy matrix equation

WSW Daud, N Ahmad… - … Computing Electronics and …, 2021 - telkomnika.uad.ac.id
Matrix equations have its own important in the field of control system engineering particularly
in the stability analysis of linear control systems and the reduction of nonlinear control …

[PDF][PDF] Positive solution of arbitrary triangular fully fuzzy sylvester matrix equations

WSW Daud, N Ahmad, G Malkawi - Far East J. Math. Sci, 2018 - academia.edu
This study proposes an algorithm for obtaining the positive solution of a fully fuzzy Sylvester
matrix equation with arbitrary triangular fuzzy coefficients. The algorithm exceeds the …

Near zero fuzzy solution of fully fuzzy linear systems 1

X Guo, K Liu - Journal of Intelligent & Fuzzy Systems, 2023 - content.iospress.com
This paper discusses a new approximate solution of a class of fully fuzzy linear systems Ax=
b in which the coefficient matrix A is a positive fuzzy matrix. The original fuzzy linear systems …

Generalized fuzzy eigenvectors of real symmetric matrices 1

X Guo, Y Chen, Q Zhuo - Journal of Intelligent & Fuzzy …, 2023 - content.iospress.com
In paper the generalized real eigenvalue and fuzzy eigenvector of a crisp real symmetric
matrix with respect to another real symmetric matrix is studied. The original generalized …

A numerical solution for fully fuzzy nonlinear systems based on the Broyden method

W Megarani, L Zakaria - AIP Conference Proceedings, 2024 - pubs.aip.org
Several iterative methods can solve a fully fuzzy nonlinear system. However, the matrix
concept is preferred in solving a fully fuzzy nonlinear system of equations to make it …