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

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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Publication Details

Published
2025-09-15
DOI
https://doi.org/10.31224/5372
Primary Topic
Semantic Web and Ontologies
Type
article
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article

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

Takaaki Fujita
Semantic Web and Ontologies
article

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

Takaaki Fujita
article en

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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Plithogenic Fuzzy Natural Language and Its Upside-Down Logic: A Framework for Contradiction-Aware Reasoning — Takaaki Fujita · (2025) | TGRS Research Map | TGRS