A Proposed Method for Establishing Five Algebraic Substructures in UP-Algebras in View of Generalized Neutrosophic Structures

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DOI: https://doi.org/10.28924/2291-8639-23-2025-279
Published: Nov 5, 2025
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Mohammed Alqahtani, Majdoleen Abuqamar, Anas Al-Masarwah, A Proposed Method for Establishing Five Algebraic Substructures in UP-Algebras in View of Generalized Neutrosophic Structures, Int. J. Anal. Appl., 23 (2025), 279.

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Mohammed Alqahtani, Majdoleen Abuqamar, Anas Al-Masarwah

Abstract

The main goal of this paper is to utilize the notion of generalized neutrosophic structures (GNSs) to five types of algebraic substructures in UP-algebras. We present the concepts of generalized neutrosophic UP-subalgebras (GNUP-Ss), generalized neutrosophic near UP-filters (GNNUP-Fs), generalized neutrosophic UP-filters (GNUP-Fs), generalized neutrosophic UP-ideals (GNUP-Is) and generalized neutrosophic strong UP-ideals (GNUP-SIs) in UP-algebras and investigate some related properties. Furthermore, the relationship between these five types of algebraic substructures in UP-algebras is discussed. After that, the conditions under which GNUP-S can be GNNUP-F, and the condition under which GNUP-F can be GNUP-I in UP-algebra are discovered. At last, a number of characterizations theorems of our concepts are presented and proved.

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