Plithgoenic Fuzzy Risk Management and Plithgoenic Fuzzy IT Service Management

Plithogenic sets represent elements through attribute–driven memberships together with a contradiction map over attribute values 1–3. Upside-Down Logic reverses truth and falsity under a structured transformation, flipping evaluations while preserving internal consistency across logical contexts. Risk management is the process of identifying, assessing, and mitigating potential losses to minimize the impact on organizational objectives 4–6. IT service management (ITSM) is the process of designing, delivering, managing, and improving IT services to meet business needs effectively, efficiently, and consistently 7–9. In this paper, we formally introduce Plithogenic Fuzzy Risk Management and Plithogenic Fuzzy IT Service Management and investigate their structural properties.