We introduce the concept of a max-min fuzzy language, FL boolean OR(M), and a min-max fuzzy language, FL boolean AND(M), recognized by a type of fuzzy automaton M. We show that if L(1) and L(2) are finite-valued F boolean OR-regular languages, then so are L(1) boolean OR L(2) and L(1) boolean AND L(2). We give a form of a fuzzified pumping lemma which we use to give a necessary and sufficient condition for FL boolean OR(M) to be nonconstant.