In [1, 2] we studied various concepts of bipolar queries (cf. Dubois and Prade [3]). We advocated there the use of a fuzzified version of the original crisp definition introduced by Lacroix and Lavency [4]. However, the fuzzification proposed, as general as it was, leaves open the choice of a representation of logical entities, notably the logical connectives and quantifiers. In the present paper we study the influence of the choice some representations that are popular in fuzzy logic on matching degrees of the tuples and their resulting ordering.