A study on n-HyperSpherical Neutrosophic matrices
The n-HyperSpherical Neutrosophic matrices (n-HSNMs), an extension of the Spherical Neutrosophic matrices, are proposed in this study. We investigate the basic properties of n-HSNMs and compare the idea n-HSNMs with spherical fuzzy matrices. Then, it looks at the characteristics of specific mathemat...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2023-05-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/HyperSphericalNeutrosophic21.pdf |
| _version_ | 1797825256733278208 |
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| author | V. Muthukumaran M. Sathish Kumar I. Silambarasan R. Udhayakumar Said Broumi |
| author_facet | V. Muthukumaran M. Sathish Kumar I. Silambarasan R. Udhayakumar Said Broumi |
| author_sort | V. Muthukumaran |
| collection | DOAJ |
| description | The n-HyperSpherical Neutrosophic matrices (n-HSNMs), an extension of the Spherical Neutrosophic matrices, are proposed in this study. We investigate the basic properties of n-HSNMs and compare the idea n-HSNMs with spherical fuzzy matrices. Then, it looks at the characteristics of specific mathematical operations, like max-min, algebraic product, min-max, algebraic sum, and complement. Additionally, scalar multiplication (nS) and exponentiation (Sn )operations of an n-HSNM S are created and their advantageous properties are illustrated using algebraic operations. Then, we present a new operation (@) on n-HyperSpherical Neutrosophic matrices and look at the distributional rules that result from combining the operations (⊕, ⊗, ∧, and ∨). |
| first_indexed | 2024-03-13T10:51:21Z |
| format | Article |
| id | doaj.art-7afd08ff658445b092db74271502f5d2 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-13T10:51:21Z |
| publishDate | 2023-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-7afd08ff658445b092db74271502f5d22023-05-17T13:51:46ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2023-05-015534435710.5281/zenodo.7832765A study on n-HyperSpherical Neutrosophic matricesV. MuthukumaranM. Sathish KumarI. SilambarasanR. UdhayakumarSaid BroumiThe n-HyperSpherical Neutrosophic matrices (n-HSNMs), an extension of the Spherical Neutrosophic matrices, are proposed in this study. We investigate the basic properties of n-HSNMs and compare the idea n-HSNMs with spherical fuzzy matrices. Then, it looks at the characteristics of specific mathematical operations, like max-min, algebraic product, min-max, algebraic sum, and complement. Additionally, scalar multiplication (nS) and exponentiation (Sn )operations of an n-HSNM S are created and their advantageous properties are illustrated using algebraic operations. Then, we present a new operation (@) on n-HyperSpherical Neutrosophic matrices and look at the distributional rules that result from combining the operations (⊕, ⊗, ∧, and ∨).http://fs.unm.edu/NSS/HyperSphericalNeutrosophic21.pdfneutrosophic setsspherical fuzzy matrixn-hyperspherical neutrosophic matrixalgebraic sum |
| spellingShingle | V. Muthukumaran M. Sathish Kumar I. Silambarasan R. Udhayakumar Said Broumi A study on n-HyperSpherical Neutrosophic matrices Neutrosophic Sets and Systems neutrosophic sets spherical fuzzy matrix n-hyperspherical neutrosophic matrix algebraic sum |
| title | A study on n-HyperSpherical Neutrosophic matrices |
| title_full | A study on n-HyperSpherical Neutrosophic matrices |
| title_fullStr | A study on n-HyperSpherical Neutrosophic matrices |
| title_full_unstemmed | A study on n-HyperSpherical Neutrosophic matrices |
| title_short | A study on n-HyperSpherical Neutrosophic matrices |
| title_sort | study on n hyperspherical neutrosophic matrices |
| topic | neutrosophic sets spherical fuzzy matrix n-hyperspherical neutrosophic matrix algebraic sum |
| url | http://fs.unm.edu/NSS/HyperSphericalNeutrosophic21.pdf |
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