Generalized Symmetric Neutrosophic Fuzzy Matrices

• Published in: Neutrosophic sets and systems Vol. 57; pp. 114 - 127
• Main Authors: Anandhkumar, M, Punithavalli, G, Soupramanien, T, Broumi, Said
• Format: Journal Article
• Language: English
• Published: Neutrosophic Sets and Systems 01.09.2023; University of New Mexico
• Subjects: k-kernel symmetric; kernel symmetric; moore-penrose inverse; range symmetric
• ISSN: 2331-6055; 2331-608X
• DOI: 10.5281/zenodo.8271337

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. Keywords: Range symmetric, Kernel symmetric, k-Kernel Symmetric, Moore-penrose inverse