'profile of quality' should be considered a functional property (i.e., an 'activity profile' is a profile of only a single 'quality'). However, in OWL, an object property with property chain restrictions may not be combined with cardinality restrictions. Correct cardinalities must therefore be maintained with rules external to the ontology.
A property chain axiom ensures that a quantity datum individual associated with an activity profile by 'profile quantity datum' quantifies a quality which defines the activity profile by 'profile of quality'.
