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The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃

Link to publisher's homepage at https://amci.unimap.edu.my/

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Bibliographic Details
Main Authors: W.S., W. Daud, N., Ahmad, G., Malkawi, K.A.A., Aziz, M.F.I.M., Idris
Other Authors: wsuhana@unimap.edu.my
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2023
Subjects:
Control system engineering
Fully fuzzy matrix equation
Fully fuzzy linear system
Pseudoinverse method
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77687
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spelling my.unimap-776872023-01-24T12:37:26Z The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃ W.S., W. Daud N., Ahmad G., Malkawi K.A.A., Aziz M.F.I.M., Idris W.S., W. Daud wsuhana@unimap.edu.my Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Campus, 02600, Arau, Perlis School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, Malaysia Higher Colleges of Technology, Abu Dhabi AlAin Men’s College, 17155, United Arab Emirates Department of Mathematical Sciences and Statistics, Universiti Teknologi Mara Cawangan Perlis Kampus Arau, 02600, Arau, Perlis Control system engineering Fully fuzzy matrix equation Fully fuzzy linear system Pseudoinverse method Link to publisher's homepage at https://amci.unimap.edu.my/ A fully fuzzy matrix equation of ÃX̃B̃ = C̃ has its own important in the application of control system engineering particularly in the situation of uncertainty. In this study, the equation is solved where the triangular fuzzy numbers be the variables of the equation. The algorithm that is used in the solution is consists of the conversion for the fully fuzzy matrix equation to a fully fuzzy linear system by utilizing the Kronecker and Vec-operator. Subsequently, the final solution is obtained by using the pseudoinverse method. A numerical example and the verification of the solution obtained are presented to demonstrate the contribution of this study. 2023-01-24T12:37:26Z 2023-01-24T12:37:26Z 2022-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.11(1), 2022, pages 35 – 44 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77687 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Control system engineering
Fully fuzzy matrix equation
Fully fuzzy linear system
Pseudoinverse method
spellingShingle Control system engineering
Fully fuzzy matrix equation
Fully fuzzy linear system
Pseudoinverse method
W.S., W. Daud
N., Ahmad
G., Malkawi
K.A.A., Aziz
M.F.I.M., Idris
W.S., W. Daud
The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 wsuhana@unimap.edu.my
author_facet wsuhana@unimap.edu.my
W.S., W. Daud
N., Ahmad
G., Malkawi
K.A.A., Aziz
M.F.I.M., Idris
W.S., W. Daud
format Article
author W.S., W. Daud
N., Ahmad
G., Malkawi
K.A.A., Aziz
M.F.I.M., Idris
W.S., W. Daud
author_sort W.S., W. Daud
title The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃
title_short The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃
title_full The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃
title_fullStr The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃
title_full_unstemmed The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃
title_sort approximate solution for a triangular fully fuzzy matrix equation ãx̃b̃ = c̃
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2023
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77687
_version_ 1772813096891449344
score 13.214268

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