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https://doi.org/10.31224/5334...
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Three-Mode Upside-Down Logic within Plithogenic Neutrosophic Set

Authors: Takaaki Fujita;

Three-Mode Upside-Down Logic within Plithogenic Neutrosophic Set

Abstract

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
hybrid