Upside-Down Logic in Plithogenic Fuzzy Control System: Contradiction-Aware Rule Inversion and De-Plithogenication

Keywords: Upside-down-logic, Plithogenic Set, De-Plithogenication, Plithogenic Fuzzy Control System, Fuzzy Control System

Abstract

In the real world, many reversal phenomena occur—for instance, situations in which a statement once regarded as false is later recognized as true. Upside-Down Logic provides a framework that formalizes such reversals as a logical system: it flips the truth and falsity of propositions via contextual transformations, thereby capturing ambiguity and reversal 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. In this paper, we investigate Plithogenic Fuzzy Control, which both generalizes classical fuzzy control and furnishes a formal mechanism for analyzing and implementing inversion (upside-down) operations.

Author Biography

Takaaki Fujita, Independent Researcher, Tokyo, Japan
   
Published
2025-10-29
How to Cite
Fujita, T., Heilat, A., & Hatamleh, R. (2025). Upside-Down Logic in Plithogenic Fuzzy Control System: Contradiction-Aware Rule Inversion and De-Plithogenication. Statistics, Optimization & Information Computing, 15(1), 877-920. https://doi.org/10.19139/soic-2310-5070-3033
Section
Research Articles

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