Generalized Symmetric Neutrosophic Fuzzy Matrices
We develop the concept of range symmetric Neutrosophic Fuzzy Matrix and Kernel symmetric Neutrosophic Fuzzy Matrix analogous to that of an EP –matrix in the complex field. First we present equivalent characterizations of a range symmetric matrix and then derive equivalent conditions for a Neutrosoph...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2023-09-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/GeneralizedSymmetricNeutrosophic6.pdf |
| _version_ | 1797660021290434560 |
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| author | M. Anandhkumar G. Punithavalli T. Soupramanien Said Broumi |
| author_facet | M. Anandhkumar G. Punithavalli T. Soupramanien Said Broumi |
| author_sort | M. Anandhkumar |
| collection | DOAJ |
| description | We develop the concept of range symmetric Neutrosophic Fuzzy Matrix and Kernel symmetric Neutrosophic Fuzzy Matrix analogous to that of an EP –matrix in the complex field. First we present equivalent characterizations of a range symmetric matrix and then derive equivalent conditions for a Neutrosophic Fuzzy Matrix to be kernel symmetric matrix and study the relation between range symmetric and kernel symmetric Neutrosophic Fuzzy Matrices. The idea of Kernel and k-Kernel Symmetric (k-KS) Neutrosophic Fuzzy Matrices (NFM) are introduced with an example. We present some basic results of kernel symmetric matrices. We show that k-symmetric implies k-Kernel symmetric but the converse need not be true. The equivalent relations between kernel symmetric, k-kernel symmetric and Moore-Penrose inverse of NFM are explained with numerical results. |
| first_indexed | 2024-03-11T18:23:44Z |
| format | Article |
| id | doaj.art-0fac26a8c2bc4e59b1d8be08184a29bc |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-11T18:23:44Z |
| publishDate | 2023-09-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-0fac26a8c2bc4e59b1d8be08184a29bc2023-10-14T09:54:52ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2023-09-015711412710.5281/zenodo.8271337Generalized Symmetric Neutrosophic Fuzzy MatricesM. AnandhkumarG. PunithavalliT. SoupramanienSaid BroumiWe develop the concept of range symmetric Neutrosophic Fuzzy Matrix and Kernel symmetric Neutrosophic Fuzzy Matrix analogous to that of an EP –matrix in the complex field. First we present equivalent characterizations of a range symmetric matrix and then derive equivalent conditions for a Neutrosophic Fuzzy Matrix to be kernel symmetric matrix and study the relation between range symmetric and kernel symmetric Neutrosophic Fuzzy Matrices. The idea of Kernel and k-Kernel Symmetric (k-KS) Neutrosophic Fuzzy Matrices (NFM) are introduced with an example. We present some basic results of kernel symmetric matrices. We show that k-symmetric implies k-Kernel symmetric but the converse need not be true. The equivalent relations between kernel symmetric, k-kernel symmetric and Moore-Penrose inverse of NFM are explained with numerical results.https://fs.unm.edu/NSS/GeneralizedSymmetricNeutrosophic6.pdfrange symmetrickernel symmetrick-kernel symmetricmoore-penrose inverse |
| spellingShingle | M. Anandhkumar G. Punithavalli T. Soupramanien Said Broumi Generalized Symmetric Neutrosophic Fuzzy Matrices Neutrosophic Sets and Systems range symmetric kernel symmetric k-kernel symmetric moore-penrose inverse |
| title | Generalized Symmetric Neutrosophic Fuzzy Matrices |
| title_full | Generalized Symmetric Neutrosophic Fuzzy Matrices |
| title_fullStr | Generalized Symmetric Neutrosophic Fuzzy Matrices |
| title_full_unstemmed | Generalized Symmetric Neutrosophic Fuzzy Matrices |
| title_short | Generalized Symmetric Neutrosophic Fuzzy Matrices |
| title_sort | generalized symmetric neutrosophic fuzzy matrices |
| topic | range symmetric kernel symmetric k-kernel symmetric moore-penrose inverse |
| url | https://fs.unm.edu/NSS/GeneralizedSymmetricNeutrosophic6.pdf |
| work_keys_str_mv | AT manandhkumar generalizedsymmetricneutrosophicfuzzymatrices AT gpunithavalli generalizedsymmetricneutrosophicfuzzymatrices AT tsoupramanien generalizedsymmetricneutrosophicfuzzymatrices AT saidbroumi generalizedsymmetricneutrosophicfuzzymatrices |