Upside-Down Logic within Plithogenic Fuzzy ITIL: A Framework forContext-Aware Contradiction Handling in IT Service Management

Abstract

In the real world, many reversal phenomena occur—for instance, situations where a statement once
considered false is later recognized as true. Upside-Down Logic provides a framework to formalize such
reversal phenomena as a logical system. It reverses the truth and falsity of propositions through contextual
transformations, thereby capturing ambiguity and reversals within reasoning processes. A Plithogenic
Set represents elements using attribute-based membership and contradiction functions, extending the
traditional frameworks of fuzzy, intuitionistic, and neutrosophic sets. ITIL (Information Technology
Infrastructure Library) is a framework of best practices for IT service management, focusing on the service
lifecycle, efficiency, alignment, and continual improvement. Extensions of ITIL have been studied through
fuzzy set theory, such as the Fuzzy ITIL. In this paper, we investigate Plithogenic Fuzzy ITIL, which
extends Fuzzy ITIL by incorporating the structure of a Plithogenic Fuzzy Set.