Fuzzy Subalgebras and Ideals With Thresholds of Hilbert Algebras

Abstract

The concepts of fuzzy subalgebras and ideals with thresholds of Hilbert algebras are presented, some of their features are explained, and their extensions are demonstrated using the theory of fuzzy sets as a foundation. We also talk about the connections between fuzzy subalgebras (ideals) with thresholds and their level subsets. The homomorphic images and inverse images of fuzzy subalgebras and ideals with thresholds in Hilbert algebras are also studied and some related properties are investigated.