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This is a Quantitative Study study.

September 16, 2025Open Access

Plithogenic Fuzzy Natural Language and Its Upside-Down Logic: A Framework for Contradiction-Aware Reasoning

Key Points

Upside-Down Logic captures reversal phenomena in reasoning, enabling a more nuanced understanding of truth.
Plithogenic Fuzzy Natural Language augments traditional fuzzy logic by incorporating contradiction elements.
Contextual transformations allow the inversion of truth values, enhancing the modeling of ambiguity.
The extension of classical fuzzy frameworks to include plithogenic sets provides a rich approach to reasoning.

Abstract

In the real world, many reversal phenomena occur, such as cases where a statement once regarded as false is later recognized as true. Upside-Down Logic is a framework designed to formalize such reversal phenomena as a logical system. It inverts the truth and falsity of lemmas through contextual transformations, thereby capturing ambiguity and reversals within reasoning processes. A Plithogenic Set models elements by means of attribute-based membership and contradiction functions, extending the classical frameworks of fuzzy, intuitionistic, and neutrosophic sets. In this paper, we investigate Plithogenic Fuzzy Natural Language, a concept that augments Fuzzy Natural Language by incorporating the notion of contradiction.

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Cite This Study

Takaaki Fujita (Mon,) studied this question.

synapsesocial.com/papers/68d453a431b076d99fa59a8f https://doi.org/https://doi.org/10.31224/5372