Inverse dimension
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In the concept-oriented model dimensions are used to link subconcepts with their superconcepts. Thus dimension is a named position of superconcept within one subconcept. Inverse dimension is produced from dimension by inverting its direction. Thus inverse dimensions identify subconcepts for a superconcept.
Inverse dimension takes values from the corresponding subconcept as a domain. However, in contrast to dimensions they are multi-valued. Inverse dimension can be represented graphically as a downward edge arrow the source concept to some its subconcept.
Normally inverse dimensions do not have their own names. Instead we take a normal dimension and inverse its direction by enclosing into curly brackets. For example, concept Orders has two inverse dimensions {OrderParts.order} and {OrderOperations.order} (we normally prefix the path by the source concept to avoid ambiguity). Notice that for each order we have many order parts and many order operations.
