<p>A new class of the Gamma distribution is developed by integrating it with the Half Logistic distribution, resulting in a flexible probabilistic model. To estimate the model parameters, four methods are employed: maximum likelihood estimation (MLE), percentile estimation, weighted least squares (WLS), and ordinary least squares (OLS). Properties such as quantile function, hazard rate and survival function are studied. Fuzzy reliability estimators are derived using these estimation techniques through a comprehensive simulation study across varying sizes of sample and parameter settings. The behaviour of the proposed distribution is illustrated through cumulative distribution function and probability density function plots with different parameter values. The model’s practical relevance is demonstrated using three real-life datasets. Comparative analysis reveals that the proposed distribution provides a significantly better fit than several existing distributions.</p>