University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 23 4 2026 08 01 Fuzzy Simulation of Heat Transfer in Ternary Hybrid Nanofluid Flow Across a Moving Wedge 75 95 10012 10.22111/ijfs.2026.52808.9330 EN Amudha B Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India. Shanmugapriya M Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India Sundareswaran R Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India. Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco Journal Article 2025 08 01 This study investigated the impact of fuzzy nanoparticle volume fraction on the heat transport of ternary hybrid nanofluid (THNF) over a moving wedge, considering factors such as magnetic field, thermal radiation, and shape factor. The governing nonlinear coupled partial differential equations are transformed into ordinary differential equations using suitable similarity transformation. The reformulated ordinary differential equations are then converted into fuzzy differential equations by utilizing the α-cut technique. The shooting method is employed to perform numerical simulation via MATLAB. The present study reveals that the THNF exhibits a significantly enhanced heat transfer rate approximately 36.29% higher than the hybrid nanofluid, 59.30% higher than the nanofluid, and 69.87% higher than the base fluid. The volume fraction of nanoparticles in THNF may vary due to factors like inconsistencies during synthesis, particle aggregation, and dispersion stability, leading to uncertainty in predicting fluid behavior. To address this uncertainty, a fuzzy logic approach is employed. In present study, triangular and trapezoidal fuzzy numbers are used to represent the nanoparticle volume fraction in THNF. By employing the technique in conjunction with the associated membership functions, the impact of these fuzzy parameters on different shape factors is systematically analyzed. The findings reveal that the blade-shaped nanoparticle exhibits higher heat transport than the other nanoparticle shapes. https://ijfs.usb.ac.ir/article_10012_d18b7a6a6dae23e8fa5d5882b2b73413.pdf