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Positive Fuzzy Minimal Solution for Positive Singular Fully Fuzzy Sylvester Matrix Equation.

Authors :
Wan Daud, Wan Suhana
Ahmad, Nazihah
Malkawi, Ghassan
Source :
AIP Conference Proceedings. 2018, Vol. 1974 Issue 1, p1-8. 8p.
Publication Year :
2018

Abstract

This paper aims to obtain positive fuzzy minimal solution for positive singular fully fuzzy Sylvester matrix equation (FFSE). A FFSE is said to be singular when the coefficient fuzzy matrix of the equation is not invertible whereby its determinant equal to zero. In obtaining the solution, first of all, the FFSE is converted to fully fuzzy linear system (FFLS) by using Kronecker product and Vec-operator. Then, by applying an associated linear matrix system approach, the crisp form of matrix is obtained. Finally, the solution of the equation is obtained by using method of pseudoinverse. A numerical example is also given in this paper [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
1974
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
130426332
Full Text :
https://doi.org/10.1063/1.5041615