(α, β)-fuzzy ideals of BCH-algebras

In this paper by two relations belonging to (E) and quasi-coincidence (q) between fuzzy points and fuzzy sets, the notions of (alpha, beta) -fuzzy ideals of BCH-algebras and the level ideal of (CO) -fuzzy ideals of BCH-algebras are introduced where alpha, beta are any two of {E, q, is an element of v q, is an element of Lambda q} with alpha not equal is an element of E Aq. Then we state and prove theorems discussed in (a, 13) - fuzzy ideals and their level ideals of BCH-algebras. How the homomorphic inverse image of (alpha, beta) -fuzzy ideals becomes (alpha, beta) -fuzzy ideals are studied.