Application of New Divergence Measure in Complex Fermatean Fuzzy Sets for Post-Flood Assessment

Complex Fermatean fuzzy sets (CFFSs) combine complex fuzzy sets and Fermatean fuzzy sets, with membership, non-membership, and neutral degrees represented as complex numbers, thus enabling a more flexible and comprehensive representation of uncertainty. Nevertheless, a key unresolved challenge is how to measure the differences of CFFSs in decision-making processes appropriately. This paper introduces a new divergence measure based on CFFSs, aiming to overcome the limitations of existing measures. The proposed measure has been thoroughly validated to meet the required axioms, with its reliability and effectiveness confirmed through numerical comparisons. Additionally, we apply the proposed divergence measures to a post-flood assessment application, demonstrating their high confidence and consistency.