Calculation of fuzzy matrices determinant
Matrix and its determinant are two basic tools, which are important in financial, accounting, and economic affairs. Therefore, in this paper, a simple and effective method is proposed to obtain the determinant of fuzzy matrices. First, using arithmetic operations based on Transmission Average (TA),t...
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Ayandegan Institute of Higher Education,
2019-09-01
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| Series: | International Journal of Research in Industrial Engineering |
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| Online Access: | http://www.riejournal.com/article_96953_dd87d77c5812790a284a6ec9c8e22529.pdf |
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doaj-01285691eafb433ba92fcd4e4f0da4c82021-09-06T05:51:01ZengAyandegan Institute of Higher Education,International Journal of Research in Industrial Engineering2783-13372717-29372019-09-018325426110.22105/riej.2019.202666.109896953Calculation of fuzzy matrices determinantF. Babakordi0N. A. Taghi-Nezhad1Department of Mathematics, Faculty of Science, Gonbad Kavous University, Gonbad Kavous, Iran.Department of Mathematics, Faculty of Science, Gonbad Kavous University, Gonbad Kavous, Iran.Matrix and its determinant are two basic tools, which are important in financial, accounting, and economic affairs. Therefore, in this paper, a simple and effective method is proposed to obtain the determinant of fuzzy matrices. First, using arithmetic operations based on Transmission Average (TA),the second order fuzzy determinant is calculated.Then,Sarrus rule is defined to calculate third order fuzzy determinant. Finally, by defining minor of fuzzy matrix and ijth adjugate of the fuzzy matrix, nth order fuzzy determinant is calculated. The effectiveness and applicability of the proposed method are verified by solving some numerical examples.http://www.riejournal.com/article_96953_dd87d77c5812790a284a6ec9c8e22529.pdfarithmetic operationsfuzzy approximationfuzzy determinant |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
F. Babakordi N. A. Taghi-Nezhad |
| spellingShingle |
F. Babakordi N. A. Taghi-Nezhad Calculation of fuzzy matrices determinant International Journal of Research in Industrial Engineering arithmetic operations fuzzy approximation fuzzy determinant |
| author_facet |
F. Babakordi N. A. Taghi-Nezhad |
| author_sort |
F. Babakordi |
| title |
Calculation of fuzzy matrices determinant |
| title_short |
Calculation of fuzzy matrices determinant |
| title_full |
Calculation of fuzzy matrices determinant |
| title_fullStr |
Calculation of fuzzy matrices determinant |
| title_full_unstemmed |
Calculation of fuzzy matrices determinant |
| title_sort |
calculation of fuzzy matrices determinant |
| publisher |
Ayandegan Institute of Higher Education, |
| series |
International Journal of Research in Industrial Engineering |
| issn |
2783-1337 2717-2937 |
| publishDate |
2019-09-01 |
| description |
Matrix and its determinant are two basic tools, which are important in financial, accounting, and economic affairs. Therefore, in this paper, a simple and effective method is proposed to obtain the determinant of fuzzy matrices. First, using arithmetic operations based on Transmission Average (TA),the second order fuzzy determinant is calculated.Then,Sarrus rule is defined to calculate third order fuzzy determinant. Finally, by defining minor of fuzzy matrix and ijth adjugate of the fuzzy matrix, nth order fuzzy determinant is calculated. The effectiveness and applicability of the proposed method are verified by solving some numerical examples. |
| topic |
arithmetic operations fuzzy approximation fuzzy determinant |
| url |
http://www.riejournal.com/article_96953_dd87d77c5812790a284a6ec9c8e22529.pdf |
| work_keys_str_mv |
AT fbabakordi calculationoffuzzymatricesdeterminant AT nataghinezhad calculationoffuzzymatricesdeterminant |
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1717779893677195264 |