Anti-Fuzzy Subalgebras of Fuzzy Points in Sheffer Stroke Hilbert Algebras
Articles > Article · 2025
Authors: Tahsin ÖNER, Neelamegarajan Rajesh, Kannan Geetha, Arsham Borumand Saeid
New Mathematics and Natural Computation, Journal Indexed in ESCI, International, Scopus, 2025, vol 22, pp 67-83
DOI: 10.1142/s1793005726500663
Summary
This paper introduces novel concepts concerning anti-fuzzy subalgebras within the framework of Sheffer stroke Hilbert algebras. Using the notion of anti-fuzzy points and their relationships specifically, besideness to and nonquasi-coincidence with fuzzy sets, new types of anti-fuzzy subalgebras are defined and their fundamental properties are examined. We explore the conditions under which anti-fuzzy points generate subalgebras and investigate their interactions within algebraic systems governed by Sheffer operations. Furthermore, we analyze the structural relationships between these newly introduced anti-fuzzy subalgebras and classical fuzzy subalgebras.