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Abstract 
In this note the notion of interval-valued fuzzy B-algebras (briefly، i-v fuzzy B-algebras)، the level and strong level B-subalgebra is introduced. Then we state and proV8 some theorems which detennin8 the relationship between these notions and B-subalgebras. The images and inverse images of i-v fuzzy B-subalgebras are defined، and how the homomorphic images and inverse images of i-v fuzzy B-subalgebra becomes i-v fuzzy B-algebras are studied