A study on n-HyperSpherical Neutrosophic matrices

Abstract

The n-HyperSpherical Neutrosophic matrices (n-HSNMs), an extension of the Spherical Neutrosophic matrices, are proposed in this study. We investigate the basic properties of n-HSNMs and compare the idea n-HSNMs with spherical fuzzy matrices. Then, it looks at the characteristics of specific mathematical operations, like max-min, algebraic product, min-max, algebraic sum, and complement. Additionally, scalar multiplication (nS) and exponentiation (Sn )operations of an n-HSNM S are created and their advantageous properties are illustrated using algebraic operations. Then, we present a new operation (@) on n-HyperSpherical Neutrosophic matrices and look at the distributional rules that result from combining the operations (⊕, ⊗, ∧, and ∨).

Keywords

• neutrosophic sets
• spherical fuzzy matrix
• n-hyperspherical neutrosophic matrix
• algebraic sum