The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-making
The concept of energy in graphs and matrices is frequently used in all application fields. The energy of a matrix is an extended version of the energy of a graph. The neutrosophic matrix energy concept needs to be more noticeable in multi-criteria decision-making environments. This study presents th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2024-04-01
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| Series: | Automatika |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/00051144.2024.2309088 |
| _version_ | 1797306759639990272 |
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| author | D. Jeni Seles Martina G. Deepa |
| author_facet | D. Jeni Seles Martina G. Deepa |
| author_sort | D. Jeni Seles Martina |
| collection | DOAJ |
| description | The concept of energy in graphs and matrices is frequently used in all application fields. The energy of a matrix is an extended version of the energy of a graph. The neutrosophic matrix energy concept needs to be more noticeable in multi-criteria decision-making environments. This study presents the concept of the energy of a multi-valued neutrosophic matrix. The upper and lower bounds of the proposed energy were determined. The connection between the neutrosophic hesitant matrix and the multi-valued neutrosophic matrix is provided. Since the parameters of the two matrices differ in truth, indeterminacy, and false entries, the matrix is converted into a single-valued form, and then the energy was calculated. The MCDM problem was addressed with the proposed energy, which is solved by a novel decision-making method. The task is to select a machine from a group of repaired machines in a particular industry that is in good condition. The final ranking values are calculated by the ranking energy formula that decides which is preferred. Then the comparative results were given to demonstrate the accuracy of the proposed energy outcomes. |
| first_indexed | 2024-03-08T00:46:31Z |
| format | Article |
| id | doaj.art-d1618e466056477bb7182988fd694572 |
| institution | Directory Open Access Journal |
| issn | 0005-1144 1848-3380 |
| language | English |
| last_indexed | 2024-03-08T00:46:31Z |
| publishDate | 2024-04-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Automatika |
| spelling | doaj.art-d1618e466056477bb7182988fd6945722024-02-15T10:18:12ZengTaylor & Francis GroupAutomatika0005-11441848-33802024-04-0165249850910.1080/00051144.2024.2309088The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-makingD. Jeni Seles Martina0G. Deepa1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, IndiaThe concept of energy in graphs and matrices is frequently used in all application fields. The energy of a matrix is an extended version of the energy of a graph. The neutrosophic matrix energy concept needs to be more noticeable in multi-criteria decision-making environments. This study presents the concept of the energy of a multi-valued neutrosophic matrix. The upper and lower bounds of the proposed energy were determined. The connection between the neutrosophic hesitant matrix and the multi-valued neutrosophic matrix is provided. Since the parameters of the two matrices differ in truth, indeterminacy, and false entries, the matrix is converted into a single-valued form, and then the energy was calculated. The MCDM problem was addressed with the proposed energy, which is solved by a novel decision-making method. The task is to select a machine from a group of repaired machines in a particular industry that is in good condition. The final ranking values are calculated by the ranking energy formula that decides which is preferred. Then the comparative results were given to demonstrate the accuracy of the proposed energy outcomes.https://www.tandfonline.com/doi/10.1080/00051144.2024.2309088Matrix energymulti-valued neutrosophic fuzzy matrix (MVNFM)neutrosophic hesitant fuzzy matrix (NHFM)multi-criteria decision-making (MCDM) |
| spellingShingle | D. Jeni Seles Martina G. Deepa The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-making Automatika Matrix energy multi-valued neutrosophic fuzzy matrix (MVNFM) neutrosophic hesitant fuzzy matrix (NHFM) multi-criteria decision-making (MCDM) |
| title | The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-making |
| title_full | The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-making |
| title_fullStr | The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-making |
| title_full_unstemmed | The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-making |
| title_short | The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-making |
| title_sort | energy of multi valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi criteria decision making |
| topic | Matrix energy multi-valued neutrosophic fuzzy matrix (MVNFM) neutrosophic hesitant fuzzy matrix (NHFM) multi-criteria decision-making (MCDM) |
| url | https://www.tandfonline.com/doi/10.1080/00051144.2024.2309088 |
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