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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 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes investigated. Furthermore, the intersection between two 𝑇̅-interval valued fuzzy 𝛽-subalgebra is presented. Moreover, the characteristics of homomorphism and endomorphism on 𝑇̅- interval valued fuzzy 𝛽-subalgebras have been studied.