Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation Problems
The aim of this work is to establish a new methodology to tackle the multi-objective transportation problems [MOTP] in a Fermatean fuzzy environment that can deal with all the parameters that possess a conflicting nature. In our research work, we developed a new score function in the context of a fe...
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MDPI AG
2023-01-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/12/2/277 |
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| author | M. K. Sharma Kamini Arvind Dhaka Amita Nandal Hamurabi Gamboa Rosales Francisco Eneldo López Monteagudo Alejandra García Hernández Vinh Truong Hoang |
| author_facet | M. K. Sharma Kamini Arvind Dhaka Amita Nandal Hamurabi Gamboa Rosales Francisco Eneldo López Monteagudo Alejandra García Hernández Vinh Truong Hoang |
| author_sort | M. K. Sharma |
| collection | DOAJ |
| description | The aim of this work is to establish a new methodology to tackle the multi-objective transportation problems [MOTP] in a Fermatean fuzzy environment that can deal with all the parameters that possess a conflicting nature. In our research work, we developed a new score function in the context of a fermatean nature for converting fuzzy data into crisp data with the help of the Fermatean fuzzy technique. Then, we introduced an algorithm-based methodology, i.e., the Fermatean Fuzzy Programming approach to tackle transportation problems with multi-objectives. The main purpose of this research work is to give an alternate fuzzy programming approach to handle the MOTP. To justify the potential and validity of our work, numerical computations have been carried out using our proposed methodology. |
| first_indexed | 2024-03-09T12:58:03Z |
| format | Article |
| id | doaj.art-9a2c18ccdf1742b19b9c978fed9d8510 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T12:58:03Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-9a2c18ccdf1742b19b9c978fed9d85102023-11-30T21:58:09ZengMDPI AGElectronics2079-92922023-01-0112227710.3390/electronics12020277Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation ProblemsM. K. Sharma0Kamini1Arvind Dhaka2Amita Nandal3Hamurabi Gamboa Rosales4Francisco Eneldo López Monteagudo5Alejandra García Hernández6Vinh Truong Hoang7Department of Mathematics, Chaudhary Charan Singh University, Meerut 250004, Uttar Pradesh, IndiaDepartment of Mathematics, Chaudhary Charan Singh University, Meerut 250004, Uttar Pradesh, IndiaDepartment of Computer and Communication Engineering, Manipal University Jaipur, Jaipur 3303007, IndiaDepartment of Computer and Communication Engineering, Manipal University Jaipur, Jaipur 3303007, IndiaUnidad Academica de Ingenieria Electrica, Universidad Autonoma de Zacatacas, Jardin Juarez 147, Centro Historico, Zacatecas 98000, MexicoUnidad Academica de Ingenieria Electrica, Universidad Autonoma de Zacatacas, Jardin Juarez 147, Centro Historico, Zacatecas 98000, MexicoUnidad Academica de Ingenieria Electrica, Universidad Autonoma de Zacatacas, Jardin Juarez 147, Centro Historico, Zacatecas 98000, MexicoFaculty of Computer Science, Ho Chi Minh City Open University, Ho Chi Minh 70000, VietnamThe aim of this work is to establish a new methodology to tackle the multi-objective transportation problems [MOTP] in a Fermatean fuzzy environment that can deal with all the parameters that possess a conflicting nature. In our research work, we developed a new score function in the context of a fermatean nature for converting fuzzy data into crisp data with the help of the Fermatean fuzzy technique. Then, we introduced an algorithm-based methodology, i.e., the Fermatean Fuzzy Programming approach to tackle transportation problems with multi-objectives. The main purpose of this research work is to give an alternate fuzzy programming approach to handle the MOTP. To justify the potential and validity of our work, numerical computations have been carried out using our proposed methodology.https://www.mdpi.com/2079-9292/12/2/277multi-objective transportation problem [MOTP]fuzzy programming [FP]Fermatean fuzzy programming [FTP]score functionFermatean fuzzy transportation problem [FFTP] |
| spellingShingle | M. K. Sharma Kamini Arvind Dhaka Amita Nandal Hamurabi Gamboa Rosales Francisco Eneldo López Monteagudo Alejandra García Hernández Vinh Truong Hoang Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation Problems Electronics multi-objective transportation problem [MOTP] fuzzy programming [FP] Fermatean fuzzy programming [FTP] score function Fermatean fuzzy transportation problem [FFTP] |
| title | Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation Problems |
| title_full | Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation Problems |
| title_fullStr | Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation Problems |
| title_full_unstemmed | Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation Problems |
| title_short | Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation Problems |
| title_sort | fermatean fuzzy programming with new score function a new methodology to multi objective transportation problems |
| topic | multi-objective transportation problem [MOTP] fuzzy programming [FP] Fermatean fuzzy programming [FTP] score function Fermatean fuzzy transportation problem [FFTP] |
| url | https://www.mdpi.com/2079-9292/12/2/277 |
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