Redefined fuzzy B-algebras

By two relations belonging to and quasi-coincidence (q) between fuzzy points and fuzzy sets, we define the concept of (±, ±)-fuzzy subalgebras where ±, ± are any two of $${\{\in, q, \in\vee q, \in\wedge q\}}$$ with $${\alpha\neq \in\wedge q}$$. We state and prove some theorems in (±, ±)-fuzzy B-algebras.