Under different structural parameters, the flow and heat transfer characteristics of TF-MCHS are studied using numerical methods. The results show that the rib height (α) has the most significant effect on the total thermal resistance (R_th) and pressure decrease (Δp). As α increases, the R_th of the microchannel decreases rapidly, but Δp increases rapidly. To obtain the best parameter, a multi-objective optimization was performed using the response surface methodology (RSM), non-dominated sorting genetic algorithm (NSGA-Ⅱ), and the technique for order preference by similarity to the ideal solution (TOPSIS). According to the field synergy principle and the performance evaluation criteria (PEC), the overall performance of the microchannel before and after optimization was assessed. The results show that when R_th is 0.185 8 K/W, the pumping power (W_pp) of the optimized microchannel is 53.38% lower than that of the unoptimized microchannel, at only 0.006 2 W. When W_pp is 0.013 2 W, the R_th of the optimized microchannel decreases by 13.04%, compared with that of the unoptimized microchannel, at only 0.16 K/W. The PEC of the TOPSIS optimal microchannel is higher than that of the unoptimized microchannel. At Re=231, the PEC increases from 1.163 to 1.253, an increase of 7.74%. At Re= 631, the PEC is 1.451 5. The field synergy principle indicates that the velocity field and temperature field of the TOPSIS optimal microchannel have the best synergy effect (Fc=0.018 89).