Neutrosophic Ideals in Artinian Rings and Their Application to AI-Driven Uncertainty Classification

Amr Elrawy, Mohammed A. Saleem, Ali Yahya Hummdi and Ayat A. Temraz

Journal of Mathematics, 2026, vol. 2026, 1-9

Abstract: This work examines the behaviour of neutrosophic ideals within the framework of Artinian rings. A key finding shows that a ring with unity is left (or right) Artinian if and only if every neutrosophic left (or right) ideal takes only finitely many possible values. From this perspective, the study provides a characterization of Artinian rings based on the properties of their neutrosophic ideal structures. Building on this insight, the methodological part develops an AI-oriented mechanism for handling uncertain information. The procedure encodes data in a neutrosophic format and incorporates the structural constraints of ideals in unital Artinian rings, specifically the boundedness of their attainable values, to guide how the classification model interprets and organizes uncertainty.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6682244

DOI: 10.1155/jom/6682244

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