Abstract:

FBR0-algebras (fuzzy BR0-algebras), which are built up by weakening the conditions of WBR0-algebras, have the same algebraic structure with FI-algebras (fuzzy implication algebras) which are important and basic logic algebras proposed by professor Wu Wang-ming. FBR0-algebra is studied in detail. Firstly, it is proved that regular FBR0-algebras have the same algebraic structure with RBR0-algebras. Secondly, the basic properties of weak t-norm of regular FBR0algebras are discussed. Finally, a representation of regular FBR0-algebras is given in the form of weak t-norm.

Key words: logic algebra;regular FBR0-algebras;RBR0-algebras;adjoint pairs;weak t-norm