r-neutrosophic subset of G-submodules

Abstract

This article explains a particular category of neutrosophic subsets of G-submodules, specifically r-neutrosophic subsets, where r ∈ [0, 1]. The algebra of r-neutrosophic subsets of G-submodules is dis-cussed, along with some fundamental characteristics of their sum. Definitions and theorems related to this concept are provided to clarify the properties of an arbitrary non-empty family of r-neutrosophic subsets of G-submodules.

Keywords

• neutrosophic set
• neutrosophic g-submodule
• r neutrosophic subset of g-submodule
• neu-trosophic point