APPLIED AND COMPUTATIONAL MATHEMATICS, vol.25, no.1, pp.22-51, 2026 (SCI-Expanded, Scopus)
. This study proposes a novel hybrid multi-criteria decision-making approach based on Interval-Valued Fermatean Fuzzy sets (IVFFS) to evaluate information security risks in the SDN environments. The proposed model consists of four stages. First, the SDN architecture and its related vulnerabilities are identified. Second, cause-effect relationships among criteria are analyzed using IVFF-DEMATEL, and criterion weights are determined using IVFF-AHP. Third, the Software-Defined Networks (SDN) security risks are ranked through IVFF-TOPSIS. Finally, the stability and reliability of the proposed framework are validated through sensitivity and comparative analyses using IVFF-ARAS. The study evaluates five key security criteria (confidentiality, consistency, integrity, authentication, and availability) and 12 SDN-specific vulnerabilities. Results indicate that confidentiality is the most critical risk factor, whereas availability is the least prioritized. Sensitivity analysis confirms robust rankings under varying weights, and comparative results show high consistency with ARAS. Overall, the proposed approach provides a reliable decision-support tool for the SDN risk assessment under uncertainty.