Fermatean Neutrosophic Matrices and Their Basic Operations

Abstract

This paper aims to define a special case of neutrosophic matrices referred to as
Fermatean neutrosophic matrices (FNMs). FNMs were introduced as generalization of Fermatean
fuzzy matrices, intuitionistic fuzzy matrices, and Pythagorean neutrosophic matrices. In FNMs,
some properties were discussed in connection with the well-known standard operations (⊕, ⊗, ∧
and ∨). In addition, the scalar multiplication (nA) and exponentiation ( ð´
ð‘›
) of a Fermatean
neutrosophic matrix A were proposed, and their basic properties were investigated. Lastly, a new
operation denoted by @ was defined on Fermatean neutrosophic matrices, and some of the
properties of these matrices were examined.