Refined Neutrosophic Rhotrix: A Novel Algebraic Model for Complex Uncertainty Representation

Abstract

The concept refined neutrosophic rhotrix, an advanced algebraic structure that extends traditional rhotrices by incorporating Refined neutrosophic logic, is introduced. By decomposing indeterminacy into multiple subcomponents, true indeterminacy, contradiction, and uncertainty, the Refined neutrosophic framework allows for more granular representation and analysis of imprecise, inconsistent, and incomplete information. The study defines the algebraic operations of Refined neutrosophic rhotrices and establishes their structural properties, including closure, associativity, and distributivity under specific conditions.