International Journal of Neutrosophic Science
  IJNS
  2690-6805
  2692-6148
  
   10.54216/IJNS
   https://www.americaspg.com/journals/show/4082
  
 
 
  
   2020
  
  
   2020
  
 
 
  
   A Comparative Study of Neutrosophic Subalgebras in Sheffer Stroke UP-algebras
  
  
   Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Mae Ka, Mueang, Phayao 56000, Thailand
   
    Aiyared
    Aiyared
   
   Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore-641202, Tamil Nadu, India
   
    Vennila
    Ramasamy
   
   Department of Mathematics, Sri Sarada College for Women (Autonomous), Salem-636016, Tamil Nadu, India
   
    V. Vijaya
    Bharathi
   
   Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamil Nadu, India
   
    K.
    Geetha
   
   Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamil Nadu, India
   
    Neelamegarajan
    Rajesh
   
  
  
   
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.
  
  
   2026
  
  
   2026
  
  
   351
   359
  
  
   10.54216/IJNS.270229
   https://www.americaspg.com/articleinfo/21/show/4082