Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 10.54216/PMTCS https://www.americaspg.com/journals/show/3496 2023 2023 Department of Statistics, Administration and Economics College, Sumer University-Iraq Adel Adel Department of Statistics, Administration and Economics College, Sumer University-Iraq Bashar Khalid Ali and Fuzzy Generalized Double Hurdle (FGPDH)—to estimate and predict patient outcomes. We used the Firefly Algorithm to optimize and estimate the parameters for these models. Among them, the FGPDH model consistently provided the most accurate predictions, closely matching the actual values. The Generalized Double Hurdle model also performed well, significantly improving accuracy by capturing the complexity of the data. In contrast, models like Poisson, Single Hurdle, and Double Hurdle Poisson showed less predictive accuracy due to higher error rates. Our proposed FGPDH model, enhanced with the Firefly Algorithm, effectively handles uncertainty and complexity, making it the most reliable and precise approach in this context. 2024 2024 48 58 10.54216/PMTCS.040205 https://www.americaspg.com/articleinfo/40/show/3496