(α, β)-fuzzy ideals of hemirings

We give a characterization of different types of (alpha, beta)-fuzzy ideals of hemirings, where alpha, beta is an element of {is an element of, q, is an element of boolean OR q, is an element of boolean AND q} and alpha not equal is an element of boolean AND q. Special attention is paid to (is an element of, is an element of boolean OR q)-fuzzy prime and semiprime ideals. (c) 2009 Published by Elsevier Ltd