The study of micropolar and hybrid nanofluids has garnered considerable interest due to their enhanced thermal and mass transfer capabilities, as well as their wide-ranging applications in industrial and engineering fields. This work considers hybrid micropolar nanofluids between rotating parallel plates, studies the influence of thermal radiation, which significantly enhances thermal efficiency and evaluates hybrid nanoparticles–copper (Cu) and aluminium oxide ( \(\hbox {Al}_{2} \hbox {O}_{3}\) ). It also examines the influence of nanoparticle volume fraction, magnetic field intensity, and fuzzy-defined parameters on the hydromagnetic flow, emphasising the velocity, microrotation, thermal and concentration profiles. A novel double-parametric homotopy approach is introduced, combining fuzzy with the homotopy analysis method (HAM) to account for uncertainties and improve computational precision. The study emphasises the hybrid nanofluid’s improved heat and mass transfer capabilities over single-nanoparticle fluids and computes the skin friction, Nusselt and Sherwood numbers. Validation of the results against precise, crisp solutions demonstrates the reliability and accuracy of the proposed methodology, showcasing its potential application in complex engineering systems that involve porous media and advanced heat transfer techniques. The results show that hybrid nanofluids have much better thermal performance and concentration retention in the flow than nanofluids and also a reduction in micro-rotation is observed. By removing nanoparticles from heated areas, thermophoresis improves thermal diffusion and reduces local concentration. Additionally, it is found that increased particle collisions, caused by Brownian motion, improve heat transfer at the expense of concentration uniformity.
