Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems
In this paper, triangular fuzzy numbers (TFN) are used to represent the uncertainty of data in the transportation problems (TP), which are referred to as fuzzy transportation problems (FTP). The main issues in the FTP are the lack of information, error of the basic trading rules, incomplete fuzzy da...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Taylor&francis
2023
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| Online Access: | http://eprints.uthm.edu.my/9845/1/J14927_0ec60d77626f6485737cfe458bc764a5.pdf |
| _version_ | 1796870051090923520 |
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| author | Muhammad Sam’An, Muhammad Sam’An Yosza Dasril, Yosza Dasril Chandrasekar Ramasamy, Chandrasekar Ramasamy Nazarudin Bujang, Nazarudin Bujang Yahya Nur Ifriza, Yahya Nur Ifriza |
| author_facet | Muhammad Sam’An, Muhammad Sam’An Yosza Dasril, Yosza Dasril Chandrasekar Ramasamy, Chandrasekar Ramasamy Nazarudin Bujang, Nazarudin Bujang Yahya Nur Ifriza, Yahya Nur Ifriza |
| author_sort | Muhammad Sam’An, Muhammad Sam’An |
| collection | UTHM |
| description | In this paper, triangular fuzzy numbers (TFN) are used to represent the uncertainty of data in the transportation problems (TP), which are referred to as fuzzy transportation problems (FTP). The main issues in the FTP are the lack of information, error of the basic trading rules, incomplete fuzzy data, and the limitations of the existing fuzzy-ranking functions which is failed to compare two TFN. Segregated advancement (SA) is a separation approach where the TFN represented by low, middle, and upper are solved part by part. The flaw of SA is that it uses the classical algorithms which are NWC, LCM, and VAM. Therefore, we proposed the improvement based on the combination of total ratio cost matrix and total difference method by column without using classical ranking functions. The first and second examples illustrate the existing methods without using the SA approach. The results show that the proposed method obtained the optimal solution of FTP, whereas the existing
methods produced infeasible solution. The third example presents the limitation of existing methods along with the SA approach. The results show that the proposed method is capable in solving the third example whereas the existing approach failed to solve the said example. |
| first_indexed | 2024-03-05T22:03:48Z |
| format | Article |
| id | uthm.eprints-9845 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:03:48Z |
| publishDate | 2023 |
| publisher | Taylor&francis |
| record_format | dspace |
| spelling | uthm.eprints-98452023-09-13T07:24:49Z http://eprints.uthm.edu.my/9845/ Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems Muhammad Sam’An, Muhammad Sam’An Yosza Dasril, Yosza Dasril Chandrasekar Ramasamy, Chandrasekar Ramasamy Nazarudin Bujang, Nazarudin Bujang Yahya Nur Ifriza, Yahya Nur Ifriza T Technology (General) In this paper, triangular fuzzy numbers (TFN) are used to represent the uncertainty of data in the transportation problems (TP), which are referred to as fuzzy transportation problems (FTP). The main issues in the FTP are the lack of information, error of the basic trading rules, incomplete fuzzy data, and the limitations of the existing fuzzy-ranking functions which is failed to compare two TFN. Segregated advancement (SA) is a separation approach where the TFN represented by low, middle, and upper are solved part by part. The flaw of SA is that it uses the classical algorithms which are NWC, LCM, and VAM. Therefore, we proposed the improvement based on the combination of total ratio cost matrix and total difference method by column without using classical ranking functions. The first and second examples illustrate the existing methods without using the SA approach. The results show that the proposed method obtained the optimal solution of FTP, whereas the existing methods produced infeasible solution. The third example presents the limitation of existing methods along with the SA approach. The results show that the proposed method is capable in solving the third example whereas the existing approach failed to solve the said example. Taylor&francis 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/9845/1/J14927_0ec60d77626f6485737cfe458bc764a5.pdf Muhammad Sam’An, Muhammad Sam’An and Yosza Dasril, Yosza Dasril and Chandrasekar Ramasamy, Chandrasekar Ramasamy and Nazarudin Bujang, Nazarudin Bujang and Yahya Nur Ifriza, Yahya Nur Ifriza (2023) Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems. INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT. pp. 1-12. https://doi.org/10.1080/17509653.2022.2118885 |
| spellingShingle | T Technology (General) Muhammad Sam’An, Muhammad Sam’An Yosza Dasril, Yosza Dasril Chandrasekar Ramasamy, Chandrasekar Ramasamy Nazarudin Bujang, Nazarudin Bujang Yahya Nur Ifriza, Yahya Nur Ifriza Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems |
| title | Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems |
| title_full | Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems |
| title_fullStr | Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems |
| title_full_unstemmed | Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems |
| title_short | Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems |
| title_sort | improved segregated advancement i sa a new method for solving full triangular fuzzy transportation problems |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/9845/1/J14927_0ec60d77626f6485737cfe458bc764a5.pdf |
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