aspg-40-3496-1792533381 20261020215621 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 2024 4 2 Adel Abbood Najm Department of Statistics, Administration and Economics College, Sumer University-Iraq Bashar Khalid Ali Department of Statistics, Administration and Economics College, Sumer University-Iraq 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 30 36 3496 https://creativecommons.org/licenses/by/4.0/ 10.54216/PMTCS.040205 https://americaspg.com/journal/40/article/3496 https://americaspg.com/storage/articles/manuscripts/01M1AG8KFE9ZTAPAWV5MJNC69V.pdf