Methods for solving LR-bipolar fuzzy linear systems

M Akram, T Allahviranloo, W Pedrycz, M Ali - Soft Computing, 2021 - Springer
In this paper, we propose a technique to solve LR-bipolar fuzzy linear system (BFLS), LR-
complex bipolar fuzzy linear (CBFL) system with real coefficients and LR-complex bipolar …

A method for solving bipolar fuzzy complex linear systems with real and complex coefficients

M Akram, M Ali, T Allahviranloo - Soft computing, 2022 - Springer
An extensive variety of human decision making is based on two-sided or bipolar cognitive
assessment of a positive side and a negative side. Zhang's bipolar fuzzy set is represented …

[Retracted] Optimization of LR‐Type Fully Bipolar Fuzzy Linear Programming Problems

MA Mehmood, M Akram, MG Alharbi… - Mathematical …, 2021 - Wiley Online Library
In this study, we present a technique to solve LR‐type fully bipolar fuzzy linear programming
problems (FBFLPPs) with equality constraints. We define LR‐type bipolar fuzzy numbers …

Solution of linear and quadratic equations based on triangular linear diophantine fuzzy numbers

N Khan, N Yaqoob, M Shams… - Journal of function …, 2021 - Wiley Online Library
This paper is introducing a new concept of triangular linear Diophantine fuzzy numbers
(TLDFNs) in a generic way. We first introduce the concept of TLDFNs and then study the …

Certain efficient iterative methods for bipolar fuzzy system of linear equations

M Saqib, M Akram, S Bashir - Journal of Intelligent & Fuzzy …, 2020 - content.iospress.com
A bipolar fuzzy set model is an extension of fuzzy set model. We develop new iterative
methods: generalized Jacobi, generalized Gauss-Seidel, refined Jacobi, refined Gauss …

Certain methods to solve bipolar fuzzy linear system of equations

M Akram, M Ali, T Allahviranloo - Computational and Applied Mathematics, 2020 - Springer
In this article, we present two different analytical methods based on embedding technique
and bipolar fuzzy center to solve bipolar fuzzy linear system (BFLS) of equations. In the first …

[HTML][HTML] Linear fractional transportation problem in bipolar fuzzy environment

N Akhtar, S Islam - Results in Control and Optimization, 2024 - Elsevier
This article proposes a solution methodology for the Linear Fractional Transportation
Problem (LFTP) by incorporating bipolar fuzzy sets (BFSs) to accommodate both positive …

Fully bipolar fuzzy linear systems: bounded and symmetric solutions in dual form

G Muhammad, T Allahviranloo, N Hussain… - Journal of Applied …, 2025 - Springer
The aim of this article is to develop a new and simple technique to determine the
approximate fuzzy solution of the fully bipolar fuzzy linear system of equations (BFLSEs) A …

LU decomposition method to solve bipolar fuzzy linear systems

M Akram, G Muhammad… - Journal of Intelligent …, 2020 - content.iospress.com
The aim of this work is to solve the linear system of equations using LU decomposition
method in bipolar fuzzy environment. We assume a special case when the coefficient matrix …

Solution of complex bipolar fuzzy linear system

M Akram, M Ali, T Allahviranloo - International Online Conference on …, 2020 - Springer
Decision analysis plays a vital role in various fields including operational research,
information technology, engineering and social sciences. YinYang bipolar fuzzy sets (or …