Fuzzy implications are fundamental to fuzzy logic’s thinking and decision-making processes. These implications are divided into four major categories: DUBOIS-PRADE, QL-, R-, and (S, N). Each of these categories has unique mathematical properties and applications, making them useful in domains such as artificial intelli-gence, control systems, and approximate reasoning. Despite their theoretical and practical importance, the Hyers-Ulam stability of (S, N) and QL implications for two fundamental functional equations are relatively understudied in the present literature. Analyzing stability in this context is critical for understanding how slight perturba-tions in functional equations affect the overall system, which has a direct impact on the reliability and robustness of fuzzy reasoning systems. This paper seeks to close this gap by looking into the Hyers-Ulam stability of certain functional equations, with a special emphasis on the Dubois-Prade implication. This sort of implication was chosen because to its widespread use in fuzzy control and decision-making, where robustness and consistency are essential. By investigating the stability of these equations, we hope to give a more thorough theoretical framework that improves our knowledge of the behavior of fuzzy implications under perturbation.