INTERVAL-VALUED FUZZY B-ALGEBRAS

Abstract

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