New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models
Recently, Ghanbari and Mahdavi-Amiri [2015, Soft Computing] have proposed a model to characterize exact solutions and presented an algorithm to compute approximate solutions. Here, inspired by Ghanbari and Mahdavi-Amiri, we show that solving fuzzy LR interval linear systems is equivalent to solving...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2022-07-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/16168658.2022.2152950 |
| _version_ | 1797703902192205824 |
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| author | Mehrnoosh Salari Reza Ghanbari Khatere Ghorbani-Moghadam |
| author_facet | Mehrnoosh Salari Reza Ghanbari Khatere Ghorbani-Moghadam |
| author_sort | Mehrnoosh Salari |
| collection | DOAJ |
| description | Recently, Ghanbari and Mahdavi-Amiri [2015, Soft Computing] have proposed a model to characterize exact solutions and presented an algorithm to compute approximate solutions. Here, inspired by Ghanbari and Mahdavi-Amiri, we show that solving fuzzy LR interval linear systems is equivalent to solving fuzzy LR linear systems (FLRLSs). Then we develop some necessary and sufficient conditions for the solvability of FLRLSs. We then provide a new general concept for an approximate solution when an FLRLS lacks a solution. To compute an approximate solution, we propose an algorithm using a least squares method. Finally, we show the appropriateness of our proposed approximate solution recently introduced numerically. |
| first_indexed | 2024-03-12T05:11:17Z |
| format | Article |
| id | doaj.art-058a6f9808bc468b8ff483af0fd70075 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 1616-8666 |
| language | English |
| last_indexed | 2024-03-12T05:11:17Z |
| publishDate | 2022-07-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-058a6f9808bc468b8ff483af0fd700752023-09-03T08:28:55ZengTsinghua University PressFuzzy Information and Engineering1616-86581616-86662022-07-0114333534810.1080/16168658.2022.2152950New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares ModelsMehrnoosh Salari0Reza Ghanbari1Khatere Ghorbani-Moghadam2Department of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranMosaheb Institute of Mathematics, Kharazmi University, Tehran, IranRecently, Ghanbari and Mahdavi-Amiri [2015, Soft Computing] have proposed a model to characterize exact solutions and presented an algorithm to compute approximate solutions. Here, inspired by Ghanbari and Mahdavi-Amiri, we show that solving fuzzy LR interval linear systems is equivalent to solving fuzzy LR linear systems (FLRLSs). Then we develop some necessary and sufficient conditions for the solvability of FLRLSs. We then provide a new general concept for an approximate solution when an FLRLS lacks a solution. To compute an approximate solution, we propose an algorithm using a least squares method. Finally, we show the appropriateness of our proposed approximate solution recently introduced numerically.https://www.tandfonline.com/doi/10.1080/16168658.2022.2152950Fuzzy LR interval numberfuzzy LR interval linear systemquadratic programmingleast squares method |
| spellingShingle | Mehrnoosh Salari Reza Ghanbari Khatere Ghorbani-Moghadam New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models Fuzzy Information and Engineering Fuzzy LR interval number fuzzy LR interval linear system quadratic programming least squares method |
| title | New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models |
| title_full | New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models |
| title_fullStr | New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models |
| title_full_unstemmed | New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models |
| title_short | New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models |
| title_sort | new method for solving fuzzy lr interval linear systems using least squares models |
| topic | Fuzzy LR interval number fuzzy LR interval linear system quadratic programming least squares method |
| url | https://www.tandfonline.com/doi/10.1080/16168658.2022.2152950 |
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