Journal of Modern Technology and Engineering

We present formal definitions of L-fuzzy SBG-ideals and L-fuzzy subalgebras, and provide detailed characterizations based on membership functions and level subsets. These fuzzy algebraic structures provide a robust mathematical framework for modeling decision-making mechanisms under uncertainty in artificial intelligence systems. In addition, we derive necessary and sufficient conditions for the preservation of algebraic operations in these fuzzy subalgebras, revealing deep connections between their level structures and corresponding classical algebraic counterparts. The obtained characterizations strengthen the theoretical foundation of systems used in advanced technology applications, such as fuzzy logic controllers and data classification algorithms. The analysis further encompasses complementation properties, lattice-theoretic behavior, and the broader implications of such constructions within fuzzy algebra. Overall, the results offer a solid theoretical foundation for future developments in the study and application of fuzzy subalgebraic systems.