(α,β)-Fuzzy Ideals of BCH-Algebras

In this paper by two relations belonging to ϵ and quasi-coincidence (q) between fuzzy points and fuzzy sets, the notions of (α,β)-fuzzy ideals of BCH-algebras and the level ideal of (α,β)-fuzzy ideals of BCH-algebras are introduced where α,β are any two of {ϵ, q, ϵ ν q, ϵ ∧ q} with α ≠ ϵ ∧ q. Then we state and prove theorems discussed in (α,β)-fuzzy ideals and their level ideals of BCH-algebras. How the homomorphic inverse image of (α,β)-fuzzy ideals becomes (α,β)-fuzzy ideals are studied.