Some algebraic structure of spherical neutrosophic matrices

Abstract

Some_algebraic_structure_of_spherical_neutrosophic_matrices In this paper, we introduce spherical neutrosophic matrices (SNMs) as generalization of intuitionistic fuzzy matrices, Pythagorean fuzzy matrices, picture fuzzy matrices and spherical fuzzy matrices. Some algebraic operations such as max-min, min-max, complement, algebraic sum and algebraic product are defined in SNMs and investigated. Further, scalar multiplication (nA) and exponentiation (A?) operations of a spherical neutrosophic matrix A using algebraic operations are constructed, and their desirable properties are proved. Finally, define a new operation(@) on spherical neutrosophic matrices and discuss distributive law in the case where the operations of ?, ?, ? and ? are combined each other.