A straightforward approach for solving dual fuzzy linear systems

M Ghanbari, T Allahviranloo, W Pedrycz - Fuzzy Sets and Systems, 2022 - Elsevier
The main purpose of this paper is to solve a dual fuzzy linear system algebraically. In
considered systems, the coefficient matrices are crisp-valued matrices and the left and right …

A novel technique to solve the fuzzy system of equations

N Mikaeilvand, Z Noeiaghdam, S Noeiaghdam… - Mathematics, 2020 - mdpi.com
The aim of this research is to apply a novel technique based on the embedding method to
solve the n× n fuzzy system of linear equations (FSLEs). By using this method, the strong …

Fuzzy approximate solution of positive fully fuzzy linear matrix equations

X Guo, D Shang - Journal of Applied Mathematics, 2013 - Wiley Online Library
The fuzzy matrix equations A~⊗ X~⊗ B~= C~ in which A~, B~, and C~ are m× m, n× n, and
m× n nonnegative LR fuzzy numbers matrices, respectively, are investigated. The fuzzy …

On the rectangular fuzzy complex linear systems

M Ghanbari, T Allahviranloo, W Pedrycz - Applied Soft Computing, 2020 - Elsevier
In this paper, we focus on generalized fuzzy complex numbers and provide several
examples of membership functions and graphical representations of these numbers. Then, a …

[PDF][PDF] Solving LR fuzzy linear matrix equation

X Guo, D Shang - Iranian Journal of Fuzzy Systems, 2019 - ijfs.usb.ac.ir
In this paper, the fuzzy matrix equation $ A\widetilde {X} B=\widetilde {C} $ in which $ A, B $
are $ n\times n $ crisp matrices respectively and $\widetilde {C} $ is an $ n\times n …

A discussion on “solving fuzzy complex system of linear equations”

M Ghanbari - Information Sciences, 2017 - Elsevier
Abstract Recently, Behera and Chakraverty [Solving fuzzy complex system of linear
equations, Information Sciences 277 (2014) 154–162] proposed a new method for solving …

The general algebraic solution of dual fuzzy linear systems and fuzzy Stein matrix equations

Đ Dragić, B Mihailović, L Nedović - Fuzzy Sets and Systems, 2024 - Elsevier
In this paper, we present a new method for solving a dual fuzzy linear system (DFLS), AX˜+
C˜= BX˜+ D˜, where the coefficient matrices A and B are arbitrary real m× n matrices and C˜ …

Approximating solutions of fully fuzzy linear systems: a financial case study

A Ghomashi, S Salahshour… - Journal of Intelligent & …, 2014 - content.iospress.com
In this paper, we proposed a new method for approximating solutions of fully fuzzy linear
systems in the dual form. For this purpose, we solve the original problem in the 1-cut position …

Fuzzy least squares approximation using fuzzy polynomial

K Liu, X Guo - Mathematical Problems in Engineering, 2021 - Wiley Online Library
In this paper, the fuzzy polynomial is introduced and applied to investigate the least squares
approximation problem based on LR fuzzy numbers. A new and simple approach to solve …

Solving fuzzy matrix equation of the form X˜ A= B˜

X Guo, K Zhang - Journal of Intelligent & Fuzzy Systems, 2017 - content.iospress.com
In paper a general fuzzy matrix equation XA= Bis investigated by using the embedding
approach. A numerical procedure for calculating the solution is designed and a sufficient …