Abstract:

By the further study of R₀-logic algebras, for the first time we have established a pure algebra’s form (M,(,→)) of R₀-logic algebras on a set M with binary operators ,→ on which there is no structure of lattice. Not only does this work show further the characters of general algebra of R₀-logic algebras, but also this work reveals the connections of R₀-logic algebras with other logic algebras.

Key words: fuzzy logic, logic algebras, R₀-algebras, implication operator, general set, lattice