Work

ABS Method for Solving Fuzzy Sylvester Matrix Equation

Year: 2012

Type: article

Abstract: The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation AX + XB = C where A = (aij) 2 R n n , B = (bij) 2 R m m are crisp M- matrices, C = (cij) 2 R n m is fuzzy matrix and X 2 R n m is unknown,by applying a special algorithm based on a class of ABS algorithms called Huang algorithm. At rst, we transform this system to an (mn) � (mn) fuzzy system of linear equations. Then, we convert this system to three (mn) � (mn) crisp linear systems of equations, and we solve them simultaneously by ABS algorithm.

Source: International journal of mathematical modelling and computations

Authors: Mohammad Ali Fariborzi Araghi, Mahnaz Hosseinzadeh

Institution: Islamic Azad University Central Tehran Branch

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W1799398985

FWCI: 0.577

Cites: 27

Cited by: 5

Related to: 10