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Interval-valued spherical fuzzy matrix and its applications in multi-attribute decision-making process |
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| รหัสดีโอไอ | |
| Creator | Vineet Kumar |
| Title | Interval-valued spherical fuzzy matrix and its applications in multi-attribute decision-making process |
| Contributor | Anjana Gupta, Harish Chander Taneja |
| Publisher | Maejo University |
| Publication Year | 2566 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 17 |
| Journal No. | 3 |
| Page no. | 265 |
| Keyword | decision-making, interval-valued spherical fuzzy matrix, determinant of interval-valued spherical fuzzy matrix, adjoint of interval-valued spherical fuzzy matrix, score function |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | Despite significant advancement in matrix problem research over the past few decades, there remains a considerable gap in the literature when it comes to addressing real-life problems. The application of matrix is widespread in various real-life scenarios. In the literature researchers have always been more interested in studying matrices in fuzzy settings including intuitionistic fuzzy, picture fuzzy and spherical fuzzy environments. Inspired by the notion of interval-valued spherical fuzzy sets, we extend the theory of spherical fuzzy matrix into interval-valued spherical fuzzy matrix (IVSFM) to represent more flexibly uncertain and vague information. In this context we establish significant definitions and theorems about the given matrices. Further, we introduce the methodology for determining the determinant and adjoint of IVSFM. Finally, we propose a new score function for the interval-valued spherical fuzzy sets and prove its validity with the help of basic properties. Further, the application of the proposed concepts is shown by real-life decision-making for a career placement assessment. |
