Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued T̄-normed fuzzy β-subalgebra is proposed and its associated outcomes investigated. Furthermore, the intersection between two T̄-interval valued fuzzy β-subalgebra is presented. Moreover, the characteristics of homomorphism and endomorphism on T̄-interval valued fuzzy β-subalgebra have been studied.
