A non-functional association end associates, by default, a set of instances of the target class to any instance of the
source class, which means that the values of the corresponding multi-valued reference property
are sets. However, there are also cases, where a non-functional association end is ordered (representing a list of objects) and, consequently, the values
of the corresponding multi-valued reference property take the form of ordered sets. In the following example, the
authoredBooks is not ordered, while the other one, with the implicit
authors, is ordered since the order of the authors of a book is meaningful and
has to be captured by a data management app.
An ordered association end should not represent any ordering based on the properties of the
target class. In our example, this implies that the ordering of the authors of a book should, for
example, not represent their alphabetical ordering, but rather it should represent information
that is not available via the properties of
Author. This is, indeed, the case, since
it represents some sort of significance, which is not expressed by any property.
Notice that ordered association ends in information design models are just a convenience feature, because an ordered association end can always be transformed into an unordered one by adding one or more attributes to the association's target class, such that these attributes' values can be used for the ordering. Ordered association ends allow a more concise information model, and a more efficient implementation, by not requiring to make the ordering information explicit with the help of auxiliary ordering attributes.
The two important types of collections for multi-valued reference properties are sets and ordered sets, while use
cases for bags (multi-sets) and sequences (ordered multi-sets) as the collection type of a multi-valued reference
property are very rare. When the collection type of a multi-valued reference property is bag,
this can be expressed in the class diagram with the help of the keyword
the annotation of the association end or property modifier.
Notice, however, that it is quite common to use lists
(such as JS arrays or the Java interface type
List) as the range of multi-valued
reference properties, also in the case where the collection is of type set.