On Schur Complement in k-Kernel Symmetric Neutrosophic and Intuitionistic Fuzzy Matrices

G. Marimuthu^1*, S. Chanthirababu¹

¹Department of Mathematics, AVVM Sri Pushpam College, Poondi - 613 503, Thanjavur, Tamilnadu, India

Emails: drgmarimuthu@gmail.com; scbtr1@gmail.com

Abstract

The present study provides the necessary and sufficient criteria for the k-Kernel symmetry (KS) of a Schur complement (SC) in a k-KS Neutrosophic Fuzzy matrices (NFM) and Intuitionistic Fuzzy Matrices (IFM). Equivalent characterizations of KS and k-KS NFM and IFM are presented in this work. We provide a few fundamental examples about KS NFM and IFM. It is demonstrated that while k-symmetric implies k-KS, but the converse need not be true. A few fundamental characteristics of k-KS IFM and NFM are obtained.

Keywords: NFM; IFM; Schur Complement, KS; k-KS.