Generalized Symmetric Neutrosophic Fuzzy Matrices

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.