In the dynamic and unpredictable landscape of modern logistics, the capability to swiftly and effectively adapt to market and consumer fluctuations is imperative for service quality enhancement and competitive positioning. This research delves into the pivotal role of logistics flexibility as a mechanism for logistics firms, particularly those with a corporate identity, to navigate rapid market changes, customer demands, and service differentiation. The primary focus is the appraisal of logistical flexibility, utilizing the Interval-Valued Fermatean Fuzzy (IVFF) Stepwise Weight Assessment Ratio Analysis (SWARA) method to meticulously weigh identified criteria crucial for assessing this flexibility. The methodology's rigor lies in its comprehensive analysis and structured approach, which prioritizes criteria based on their relevance and impact. The findings underscore the paramount importance of 'Logistics Information Integration' as a critical factor in assessing logistics flexibility, highlighting its role in the seamless execution of logistics operations. Conversely, 'Asset Efficiency', while significant, ranks lower in the hierarchy of criteria, suggesting a lesser impact on overall logistics flexibility. These insights offer a strategic roadmap for logistics firms aiming to enhance their adaptive capabilities and provide a foundational framework for stakeholders and model developers seeking to optimize logistics operations. This study contributes to the logistics field by offering a nuanced understanding of flexibility parameters and their implications for service excellence and market differentiation.