Attribute cardinality
Overview
To support use cases such as the SNOMED CT concept model and terminology binding, expression constraints may constrain the number of times an attribute can be included in an expression or concept definition represented in the SNOMED CT distribution view
. This is done using a cardinality constraint, which consists of a minimum cardinality and a maximum cardinality (written "[X..Y]"). A minimum cardinality of X constrains the valid clinical meanings to those which have at least (i.e. >=) X non-redundant
Anchor |
_Ref413757225_Ref413757225 | attributes that match the given attribute criteria. A maximum cardinality of Y constrains the valid clinical meanings to those which have at most (i.e. <=) Y non-redundant
5 attributes attributes that match the given attribute criteria. For example, a cardinality of "[1..5]" indicates that all clinical meanings that satisfy the given expression constraint must have at least one and at most five attributes that match the given attribute criteria.
The expression constraint below is satisfied only by products with one, two or three active ingredients.
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substanceUsing the long syntax, this expression constraint may be represented as:
Scg expression |
---|
descendantOf 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = descendantOf 105590001 | |
substanceThe following expression constraint is satisfied only by products which have exactly one active ingredient:
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substanceUnconstrained cardinalities
A minimum cardinality of '0' indicates that there is no constraint on the minimum number of attributes that may match the given attribute criteria. For example, the following expression constraint is satisfied only by products with at most one active ingredient (i.e. the maximum cardinality is '1' and the minimum cardinality is unconstrained).
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substanceUsing the long syntax, this may be represented as:
Scg expression |
---|
descendantOf 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = descendantOf 105590001 | |
substanceA maximum cardinality of '*' (or 'many') indicates that there is
no constraint on the maximum number of attributes that may match the given attribute criteria. For example, the following expression constraint is satisfied only by products that have at least one active ingredient (i.e. the minimum cardinality is '1' and the maximum cardinality is unconstrained).
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substanceUsing the long syntax, this may be represented as:
Scg expression |
---|
descendantOf 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = descendantOf 105590001 | |
substanceA cardinality of [0..*] should therefore never be used as this indicates that the given attribute is not being constrained in any way, and is therefore a redundant part of the expression constraint.
Default cardinalities
The default cardinality of each attribute, where not explicitly stated, is [1..*]. Therefore, the following two expression constraints are equivalent.
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substance Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
127489000 |has active ingredient| = < 105590001 |substance
127489000 |Has active ingredient| = < 105590001 |Substance| |
Non-redundant attributes
As mentioned above, only non-redundant defining attributes are included in the cardinality count. Therefore, the following postcoordinated expression:
Scg expression |
---|
< 404684003 | |
clinical associated Associated morphology| = 72704001 | |
fracture 363698007 |finding site| = 299701004 |bone of forearm|, 363698007 |finding site| = 62413002 |bone structure of
363698007 |Finding site| = 299701004 |Bone of forearm|,
363698007 |Finding site| = 62413002 |Bone structure of radius|} |
will successfully satisfy the expression constraint:
Scg expression |
---|
< 404684003 | |
clinical finding Finding site| = < 91723000 | |
anatomical This is because
Scg expression |
---|
299701004 | |
bone is is a supertype of
bone Bone structure of radius| |
and and therefore the attribute "
Scg expression |
---|
363698007 | |
finding Finding site| = 299701004 | |
bone " is redundant.
Attribute cardinality in groups
When the attributes to which cardinality are applied can be grouped, but braces are not used in the expression constraint, the cardinality constrains the number of times the attribute may be included in any attribute group. For example, the following expression constraint is satisfied by any clinical finding whose definition has two or more non-redundant finding sites, irrespective of which attribute group they are contained in.
Scg expression |
---|
< 404684003 | |
clinical finding Finding site| = < 91723000 | |
anatomical In contrast, when braces are placed around an attribute with a given cardinality, there must exist at least one attribute group for which the given cardinality is satisfied by attributes in that group. For example, the following expression constraint is satisfied by any clinical finding whose definition contains an attribute group with two or more non-redundant finding sites.
Scg expression |
---|
< 404684003 | |
clinical { finding Finding site| = < 91723000 | |
anatomical Attribute group cardinality
Minimum and maximum cardinalities may also be applied to attribute groups. A minimum attribute group cardinality of X constrains the valid clinical meanings to those which have at least (i.e. >=) X non-redundant attribute groups that match the given attribute group criteria. A maximum cardinality of Y constrains the valid clinical meanings to those which have at most (i.e. <=) Y non-redundant attribute groups that match the given attribute group criteria. For example, a cardinality of "[1..2]" indicates that all clinical meanings that satisfy the given expression constraint must have at least one and at most two attribute groups that match the given attribute group criteria.
The expression constraint below is satisfied only by products with one, two or three attribute groups, which each contain at least one active ingredient relationship.
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
[1..3] { [1..*] 127489000 | |
has Has active ingredient| = < 105590001 | |
substancePlease note that the above expression constraint is equivalent to:
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substanceAnd may be written using the long syntax as:
Scg expression |
---|
descendantOf 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
[1 to 3] { [1 to many] 127489000 | |
has = descendantOf 105590001 |substance =
descendantOf 105590001 |Substance|} |
Unconstrained cardinalities
As with attribute cardinalities, a minimum cardinality of '0' indicates that there is no constraint on the minimum number of attribute groups that may match the given attribute group criteria. For example, the following expression constraint is satisfied only by products with at most one attribute group containing an active ingredient relationship (i.e. the maximum attribute group cardinality is '1' and the minimum attribute group cardinality is unconstrained).
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substanceUsing the long syntax, this may be represented as:
Scg expression |
---|
descendantOf 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = descendantOf 105590001 | |
substanceA maximum cardinality of '*' (or 'many') indicates that there is
no constraint on the maximum number of attribute groups that may match the given attribute group criteria. For example, the following expression constraint is satisfied only by products that have at least one attribute group containing an active ingredient relationship (i.e. the minimum attribute group cardinality is '1' and the maximum attribute group cardinality is unconstrained).
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substanceUsing the long syntax, this may be represented as:
Scg expression |
---|
descendantOf 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = descendantOf 105590001 | |
substanceA cardinality of [0..*] should therefore never be used as this indicates that the given attribute group is not being constrained in any way, and is therefore a redundant part of the expression constraint.
Default cardinalities
As with attribute cardinality, the default attribute group cardinality, where not explicitly stated, is [1..*].
Therefore, the following four expression constraints are equivalent.
Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substance Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
{ has Has active ingredient| = < 105590001 | |
substance Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
has Has active ingredient| = < 105590001 | |
substance Scg expression |
---|
< 373873005 | |
pharmaceutical Pharmaceutical / biologic product|: |
[1..] { [1..] 127489000 | |
has Has active ingredient| = < 105590001 | |
substanceNon-redundant attribute groups
As mentioned above, only non-redundant defining attributes are included in the cardinality count. Therefore, the following postcoordinated expression:
Scg expression |
---|
< 404684003 | |
clinical finding Finding site| = 299701004 | |
bone finding Finding site| = 62413002 | |
bone Bone structure of radius|} |
will successfully satisfy the expression constraint:
Scg expression |
---|
< 404684003 | |
clinical finding Finding site| = < 91723000 | |
anatomical This is because
Scg expression |
---|
299701004 | |
bone is is a supertype of
bone Bone structure of radius| |
and and therefore the attribute group "
Scg expression |
---|
{363698007 | |
finding Finding site| = 299701004 | |
bone " is redundant.
Attribute and attribute group cardinalities
Attribute cardinalities and attribute group cardinalities can be used together to achieve a combined effect. For example, to represent the set of clinical findings which have no attribute groups that contain two or more finding site attributes (in the same attribute group), the following expression constraint can be used:
Scg expression |
---|
< 404684003 | |
clinical
[0..0] { [2..*] 363698007 | |
finding Finding site| = < 91723000| |
anatomical