The growing demand for advanced multifunctional composites in the aerospace and automotive sectors has fueled interest in materials capable of withstanding complex thermo-electro-mechanical conditions. Among these materials, Fuzzy Fiber composites, formed by grafting carbon nanotubes (CNTs) onto fiber reinforcements, offer enhanced interfacial adhesion, increased mechanical resilience, and multifunctional properties such as electrical conductivity and piezoelectricity. These attributes make them ideal for lightweight, heat-resistant aerospace components and structural health monitoring systems. This study focuses on modeling the viscoplastic behavior and damage mechanisms of Fuzzy Fiber composites under cyclic loading. A scale transition hierarchical homogenization approach is adopted to analyze the interactions between the CNTreinforced interphase, the coating layer, and the matrix. An equivalent fiber model is developed, replacing inhomogeneities with a single fiber that captures the composite's inelastic response. Using the Composite Cylinder Assembly (CCA), Transformation Field Analysis (TFA), and periodic homogenization, the study improves computational efficiency while preserving key load transfer mechanisms and interfacial interactions. The equivalent fiber model effectively predicts the macroscopic mechanical behavior, enabling parametric studies and assessing their impact on the composite's stress-strain response.