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Article . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
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A Study on the Effectiveness of Contradiction Values in Upside-Down Logic and De-Plithogenication within Plithogenic Sets

Authors: Fujita, Takaaki;

A Study on the Effectiveness of Contradiction Values in Upside-Down Logic and De-Plithogenication within Plithogenic Sets

Abstract

In the real world, many reversal phenomena occur, such as cases where a statement once regardedas false is later recognized as true. Upside-Down Logic is a framework designed to formalize such reversal phe-nomena as a logical system. It inverts the truth and falsity of propositions 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. However, the role and ef-fectiveness of Upside-Down Logic within Plithogenic Fuzzy Sets, Plithogenic Intuitionistic Fuzzy Sets, andPlithogenic Neutrosophic Sets have not yet been sufficiently explored.To address this gap, this paper investigates Upside-Down Logic in these three plithogenic settings. In partic-ular, we analyze how contradiction values guide the application of Upside-Down Logic and provide illustrativeexamples of its use. Furthermore, we consider application cases of Upside-Down Logic in Plithogenic FuzzyGraphs. Through these studies, we aim to demonstrate that Upside-Down Logic offers a formal means to modelreversal phenomena arising from contradictions under uncertainty. We also define a method of resolving con-tradictions, referred to as De-Plithogenication. Through this process, for instance, a Plithogenic Fuzzy Set canbe transformed into a structure resembling a classical Fuzzy Set

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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
Green