This research defines Three-Mode Upside-Down Logic and de-plithogenication in plithogenic sets, suggesting new frameworks for reasoning about contradictions.
In the real world, many reversal phenomena occur, such as statements once considered false later becoming recognized as true. Upside-Down Logic provides a framework to formalize such reversals by inverting truth and falsity through contextual transformations, thus capturing ambiguity and dynamic changes in reasoning processes. A Plithogenic Set models elements via attribute-based membership and contradiction functions, extending the established frameworks of fuzzy, intuitionistic, and neutrosophic sets. De-Plithogenication is the process of systematically neutralizing contradictions in plithogenic structures, resetting or transforming attribute relationships into consistent, contradiction-free states. A Plithogenic Neutrosophic Set further represents truth, indeterminacy, and falsity degrees under contradictions, enriching neutrosophic sets with context-sensitive semantics. In this paper, we define and study Three-Mode Upside-Down Logic, an improved version of Upside-Down Logic, together with De-Plithogenication, and investigate their behavior within the framework of Plithogenic Neutrosophic Sets.
No takes yet. Share an insight, caveat, or question.
Tsunenori Fujita (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: