Characterizations of Products of IVIFSS-Subalgebras and Ideals in Sheffer Stroke Hilbert Algebras
Makaleler > Tam Makale · 2026
Yazarlar: Tahsin Oner, Arsham Borumand Saeid, Aiyared Iampan, Kannan Geetha, Neelamegarajan Rajesh
Asia Pacific Journal of Mathematics, Uluslararası, Scopus, 2026, cilt 13, ss 57-57
DOI: 10.28924/apjm/13-57
Özet
This paper develops a comprehensive framework for interval-valued intuitionistic fuzzy Sheffer stroke subsets (IVIFSS) within Sheffer stroke Hilbert algebras (SSHA).We introduce and characterize IVIFSS-subalgebras and IVIFSS-ideals, proving that these structures are closed under Cartesian products, intersections, and the operators ⊕ and ⊗.It is further shown that the product of two IVIFSS-subalgebras (or IVIFSS-ideals) preserves the corresponding algebraic properties in the product algebra.By employing level subset characterizations, we derive necessary and sufficient conditions for IVIFSS-filters and IVIFSSdeductive systems, demonstrating that both notions are equivalent.These results generalize classical theories of subalgebras, ideals, and filters in Hilbert algebras to the interval-valued intuitionistic fuzzy context, thereby enriching the study of fuzzy algebraic logic and providing a unified algebraic foundation for approximate reasoning frameworks.