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Generalized Symmetric Neutrosophic Fuzzy Matrices.
- Source :
- Neutrosophic Sets & Systems; 2023, Vol. 57, p114-127, 14p
- Publication Year :
- 2023
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATRICES (Mathematics)
SYMMETRIC matrices
Subjects
Details
- Language :
- English
- ISSN :
- 23316055
- Volume :
- 57
- Database :
- Complementary Index
- Journal :
- Neutrosophic Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 171907974