A Proposed Framework for Fuzzy and NeutrosophicExtensions of Service Integration and Management (SIAM)and ITIL-Based Models

This paper surveys several uncertainty-handling paradigms—fuzzy sets, intuitionisticfuzzy sets, and neutrosophic sets—and demonstrates how they can enrichIT Service Management (ITSM). We then introduce two new frameworks—FuzzyService Integration and Management (FSIM) and Neutrosophic Service Integrationand Management (NSIM)—which embed these uncertainty models into ServiceIntegration and Management (SIAM). FSIM uses fuzzy membership functionsto capture imprecision in quality, cost, and coordination overhead, while NSIMextends this to neutrosophic triples that also quantify indeterminacy and contradiction.Finally, we explore how ITIL best practices can be fused with fuzzy andneutrosophic logic to create more adaptive, resilient service-management processes.