Volume 27 , Issue 2 , PP: 351-359, 2026 | Cite this article as | XML | Html | PDF | Full Length Article
Aiyared Iampan 1 * , Vennila Ramasamy 2 , V. Vijaya Bharathi 3 , K. Geetha 4 , Neelamegarajan Rajesh 5
Doi: https://doi.org/10.54216/IJNS.270229
In this paper, we conduct a comprehensive study of neutrosophic subalgebras of various types within the framework of Sheffer stroke UP-algebras (SUP-algebras). Specifically, we introduce and characterize (∈, ∈), (∈, ∈ ∨q), and (q, ∈ ∨q)-neutrosophic subalgebras based on neutrosophic ∈-subsets, q-subsets, and (∈ ∨q)-subsets. Necessary and sufficient conditions are established for these subsets to form subalgebras under the Sheffer stroke operation. Several theorems demonstrate how these types interrelate and differ in their structural properties, with illustrative examples provided. Furthermore, we identify the conditions under which certain canonical subsets, such as X1 0 = {x ∈ X | T (x) > 0, I(x) > 0, F (x) < 1}, form subalgebras across differ- ent neutrosophic configurations. These results offer a unified perspective and deeper insight into the algebraic behavior of neutrosophic systems in the context of SUP-algebras.
Neutrosophic set , Neutrosophic &isin , -subset , Neutrosophic q-subset , Neutrosophic &isin , &or , q-subset , (&isin , , &isin , )-neutrosophic subalgebra , (&isin , , q)-neutrosophic subalgebra , (q, &isin , )-neutrosophic subalgebra , (q, &isin , &or , q)-neutrosophic subalgebra
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