Secondary k-Kernel Symmetric Interval Valued Intuitionistic Neutrosophic Fuzzy Matrices

Abstract

We propose the idea of secondary symmetric k-kernels with interval-valued intuitionistic neutrosophic fuzzy matrices (IVINFM) like an EP matrix within the complex field. The notion of secondary kernel IVINFM and k-kernel symmetric (KS) IVINFM is presented by providing examples. We also illustrate the graphical representation of KS adjacency IVINFM and incidence IVINFM. We found every isomorphic IVINFM and non-isomorphic IVINFM graph to be k-KS IVINFM. However, the reverse shall not be the case. The definition of k-symmetric IVINFM as k- KS IVINFM, but the reverse is not the case. The characteristics of secondary kernels IVINFM, which are symmetric IVINFM, have been explored in this research using examples. The relationship between s-k KS IVINFM, symmetric s- KS IVINFM, and KS IVINFM, and the KS IVINFMs are examined. We identify the required and sufficient criteria for the KS IVINFM and s-k KS IVINFM. The comparable requirements for the various g-inverses that make up an s-k KS IVINFM are shown. The generalized inverses of a KS IVINFM A, which correspond to the sets A{1,2}, A{1, 2 ,3} and A{1,2, 4} are described.