on ($epsilon, epsilon vee q$)-fuzzy ideals of bci-algebras

the aim of this paper is to introduce the notions of ($epsilon, epsilon vee q$)-fuzzy p-ideals, ($epsilon, epsilon vee q$)-fuzzy q-ideals and ($epsilon, epsilon vee q$)-fuzzy a-ideals in bcialgebras and to investigate some of their properties. several characterizationtheorems for these generalized fuzzy ideals are proved and the relationshipamong these generalized fuzzy ideals of bci-algebras is discussed. it is shownthat a fuzzy set of a bci-algebra is an ($epsilon, epsilon vee q$)-fuzzy a-ideal if and only if itis both an ($epsilon, epsilon vee q$)-fuzzy p-ideal and an ($epsilon, epsilon vee q$)-fuzzy q-ideal. finally, the concept of implication-based fuzzy a-ideals in bci-algebras is introduced and,in particular, the implication operators in lukasiewicz system of continuousvaluedlogic are discussed.