<p>Reliability analysis is almost an essential part of engineering research, yet traditional methods typically ignore minor system characteristics, resulting in erroneous conclusions. This study explores the application of Pythagorean fuzzy sets (PFS) in reliability analysis to enable consistency and avoid uncertainty. The objective is to evaluate the performance of a system under uncertainty using PFS-based techniques. A unique reliability evaluation model incorporating PFS and traditional reliability is developed here, specifically employing the triangular Pythagorean fuzzy number and the universal generating function method under the Pareto distribution. The procedure is then applied to a water flooding system subjected to low-frequency vibration acceleration to assess their Pythagorean fuzzy reliability and sensitivity. The results show that the proposed approach enhances the predictability of the fuzzy reliability systems. Also, a graphical representation of the results is provided for greater clarity.</p>