The pointwise partial ordering of representative functions for a monotone operator is investigated. Specifically, the bigger conjugate representative functions that represent a fixed initial (non-maximal) monotone operator are studied. First, a new representative function is constructed from a given member of this class when wanting to add an additional monotonically related point. It is shown that all bigger conjugate representable monotone sets are monotonically closed. Consequently, the sum theorem for FPV operators in Banach spaces which possess a dual space that has a strictly convex renorm, is examined.