Abstract:
By weakening the conditions of the WBR0-algebras with 2-kinds of different forms, the fuzzy BR0-algebras (FBR0-algebras) and the regular BR0-algebras(RBR0-algebra) were built and then their properties were discussed.It is proved that a RBR0-algebra is a FBR0-algebra,FBR0-algebras has the same algebraic structure with FI-algebrasand RBR0-algebras has the same algebraic structure with regular FI-algebras.It is also showed that FBR0-algebra is not a RBR0-algebra and RBR0-algebra is not a WBR0-algebra by constructing a example respectively, which explains that there exist the implication relation and relative independence between 3-kinds of algebras.
