A New Replacement Model under Trapezoidal Fuzzy Number Environment
In today’s dynamic world, the replacement of machinery and facilities is a permanent and complicated issue due to rapid technical growth and globalization, which is a shared concern in the minds of the owners of any business. Maintenance is a scheduled procedure to ensure that equipment, systems, o...
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University of Baghdad, College of Science for Women
2024-11-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/10042 |
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| author | Balaganesan M Melita Vinoliah E Krishnaveni G |
| author_facet | Balaganesan M Melita Vinoliah E Krishnaveni G |
| author_sort | Balaganesan M |
| collection | DOAJ |
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In today’s dynamic world, the replacement of machinery and facilities is a permanent and complicated issue due to rapid technical growth and globalization, which is a shared concern in the minds of the owners of any business. Maintenance is a scheduled procedure to ensure that equipment, systems, or facilities remain normal to perform their intended purpose correctly without risking the loss of service time due to their failure. To maintain a certain degree of consistency, protection, and performance maintenance activities for systems and facilities in good working conditions are indispensable. The repair operation helps to preserve and increase the operating performance of machinery and facilities and thus adds to revenues. So if an entity or corporation needs to continue its competitive market, it is important to verify if the operating and repair costs are to be sustained with the old equipment or replaced by it. For that, the decision parameters such as maintenance cost, resale value, capital cost, and rate of interest should be known exactly. But it is not possible in reality, as reality is uncertain and complex. This uncertainty is competently governed and controlled by fuzzy set theory. This work aims to discuss equipment replacement in a fuzzy environment. In this fuzzy replacement model, all inaccurate costs are represented by trapezoidal fuzzy numbers (TFNs). The suggested technique finds the best replacement time for a fuzzy replacement problem without converting to a crisp one and is supported by an illustrative numerical example.
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| format | Article |
| id | doaj-art-41658a59ed104a20b4dc53e07fec72fe |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-41658a59ed104a20b4dc53e07fec72fe2025-08-20T03:33:10ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862024-11-01211110.21123/bsj.2024.10042A New Replacement Model under Trapezoidal Fuzzy Number EnvironmentBalaganesan M0Melita Vinoliah E1Krishnaveni G2https://orcid.org/0000-0002-5681-8165Department of Mathematics, College of Engineering and Technology, SRM Institute of Science & Technology, Kattankulthur, Chengalpattu – 603203, Tamil Nadu, India.Department of Mathematics, College of Engineering and Technology, SRM Institute of Science & Technology, Kattankulthur, Chengalpattu – 603203, Tamil Nadu, India.Department of Mathematics, College of Engineering and Technology, SRM Institute of Science & Technology, Kattankulthur, Chengalpattu – 603203, Tamil Nadu, India. In today’s dynamic world, the replacement of machinery and facilities is a permanent and complicated issue due to rapid technical growth and globalization, which is a shared concern in the minds of the owners of any business. Maintenance is a scheduled procedure to ensure that equipment, systems, or facilities remain normal to perform their intended purpose correctly without risking the loss of service time due to their failure. To maintain a certain degree of consistency, protection, and performance maintenance activities for systems and facilities in good working conditions are indispensable. The repair operation helps to preserve and increase the operating performance of machinery and facilities and thus adds to revenues. So if an entity or corporation needs to continue its competitive market, it is important to verify if the operating and repair costs are to be sustained with the old equipment or replaced by it. For that, the decision parameters such as maintenance cost, resale value, capital cost, and rate of interest should be known exactly. But it is not possible in reality, as reality is uncertain and complex. This uncertainty is competently governed and controlled by fuzzy set theory. This work aims to discuss equipment replacement in a fuzzy environment. In this fuzzy replacement model, all inaccurate costs are represented by trapezoidal fuzzy numbers (TFNs). The suggested technique finds the best replacement time for a fuzzy replacement problem without converting to a crisp one and is supported by an illustrative numerical example. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/10042Fuzzy Number, Fuzzy replacement model, Midpoint of fuzzy number, Operations on fuzzy numbers, Ranking of fuzzy numbers, Width of fuzzy number |
| spellingShingle | Balaganesan M Melita Vinoliah E Krishnaveni G A New Replacement Model under Trapezoidal Fuzzy Number Environment مجلة بغداد للعلوم Fuzzy Number, Fuzzy replacement model, Midpoint of fuzzy number, Operations on fuzzy numbers, Ranking of fuzzy numbers, Width of fuzzy number |
| title | A New Replacement Model under Trapezoidal Fuzzy Number Environment |
| title_full | A New Replacement Model under Trapezoidal Fuzzy Number Environment |
| title_fullStr | A New Replacement Model under Trapezoidal Fuzzy Number Environment |
| title_full_unstemmed | A New Replacement Model under Trapezoidal Fuzzy Number Environment |
| title_short | A New Replacement Model under Trapezoidal Fuzzy Number Environment |
| title_sort | new replacement model under trapezoidal fuzzy number environment |
| topic | Fuzzy Number, Fuzzy replacement model, Midpoint of fuzzy number, Operations on fuzzy numbers, Ranking of fuzzy numbers, Width of fuzzy number |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/10042 |
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