Row reduced echelon Form for solving fully fuzzy system with unknown coefficients
This study proposes a new method for finding a feasible fuzzy solution in positive Fully Fuzzy Linear System (FFLS), where the coefficients are unknown.The fully fuzzy system is transferred to linear system in order to obtain the solution using row reduced echelon form, thereafter; the crisp solutio...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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International Scientific Publications and Consulting Services
2014
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Online Access: | https://repo.uum.edu.my/id/eprint/16879/1/4.pdf |
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author | Malkawi, Ghassan Ahmad, Nazihah Ibrahim, Haslinda Alshmari, Bander |
author_facet | Malkawi, Ghassan Ahmad, Nazihah Ibrahim, Haslinda Alshmari, Bander |
author_sort | Malkawi, Ghassan |
collection | UUM |
description | This study proposes a new method for finding a feasible fuzzy solution in positive Fully Fuzzy Linear System (FFLS), where the coefficients are unknown.The fully fuzzy system is transferred to linear system in order to obtain the solution using row reduced echelon form, thereafter; the crisp solution is restricted in obtaining the positive fuzzy solution.The fuzzy solution of FFLS is included crisp intervals, to assign alternative values of unknown entries of fuzzy numbers.To illustrate the proposed method, numerical examples are solved, where the entries of coefficients are unknown in right or left hand side, to demonstrate the contributions in this study. |
first_indexed | 2024-07-04T06:03:35Z |
format | Article |
id | uum-16879 |
institution | Universiti Utara Malaysia |
language | English |
last_indexed | 2024-07-04T06:03:35Z |
publishDate | 2014 |
publisher | International Scientific Publications and Consulting Services |
record_format | eprints |
spelling | uum-168792016-05-19T06:34:17Z https://repo.uum.edu.my/id/eprint/16879/ Row reduced echelon Form for solving fully fuzzy system with unknown coefficients Malkawi, Ghassan Ahmad, Nazihah Ibrahim, Haslinda Alshmari, Bander QA75 Electronic computers. Computer science This study proposes a new method for finding a feasible fuzzy solution in positive Fully Fuzzy Linear System (FFLS), where the coefficients are unknown.The fully fuzzy system is transferred to linear system in order to obtain the solution using row reduced echelon form, thereafter; the crisp solution is restricted in obtaining the positive fuzzy solution.The fuzzy solution of FFLS is included crisp intervals, to assign alternative values of unknown entries of fuzzy numbers.To illustrate the proposed method, numerical examples are solved, where the entries of coefficients are unknown in right or left hand side, to demonstrate the contributions in this study. International Scientific Publications and Consulting Services 2014 Article PeerReviewed application/pdf en cc_by https://repo.uum.edu.my/id/eprint/16879/1/4.pdf Malkawi, Ghassan and Ahmad, Nazihah and Ibrahim, Haslinda and Alshmari, Bander (2014) Row reduced echelon Form for solving fully fuzzy system with unknown coefficients. Journal of Fuzzy Set Valued Analysis, 2014. pp. 1-18. ISSN 21934169 http://doi.org/10.5899/2014/jfsva-00193 doi:10.5899/2014/jfsva-00193 doi:10.5899/2014/jfsva-00193 |
spellingShingle | QA75 Electronic computers. Computer science Malkawi, Ghassan Ahmad, Nazihah Ibrahim, Haslinda Alshmari, Bander Row reduced echelon Form for solving fully fuzzy system with unknown coefficients |
title | Row reduced echelon Form for solving fully fuzzy system with unknown coefficients |
title_full | Row reduced echelon Form for solving fully fuzzy system with unknown coefficients |
title_fullStr | Row reduced echelon Form for solving fully fuzzy system with unknown coefficients |
title_full_unstemmed | Row reduced echelon Form for solving fully fuzzy system with unknown coefficients |
title_short | Row reduced echelon Form for solving fully fuzzy system with unknown coefficients |
title_sort | row reduced echelon form for solving fully fuzzy system with unknown coefficients |
topic | QA75 Electronic computers. Computer science |
url | https://repo.uum.edu.my/id/eprint/16879/1/4.pdf |
work_keys_str_mv | AT malkawighassan rowreducedechelonformforsolvingfullyfuzzysystemwithunknowncoefficients AT ahmadnazihah rowreducedechelonformforsolvingfullyfuzzysystemwithunknowncoefficients AT ibrahimhaslinda rowreducedechelonformforsolvingfullyfuzzysystemwithunknowncoefficients AT alshmaribander rowreducedechelonformforsolvingfullyfuzzysystemwithunknowncoefficients |