Falling fuzzy (implicative) filters of R 0 -algebras and its applications

Based on the theory of falling shadows and fuzzy sets, the notions of falling fuzzy (implicative) filters of R₀-algebras are introduced. The relations between fuzzy (implicative) filters and falling fuzzy (implicative) filters are provided. Finally, we apply the concept of falling fuzzy inference relations to R₀-algebras and obtain some related results.