Industrial automation systems and integration —
Product data representation and exchange —
Part 54:
Integrated generic resource: Classification and set theory

1 Scope

This part of ISO 10303 specifies the integrated resource constructs for classification and set theory. The following are within the scope of this part of ISO 10303:

• the existence of a class or set;
• the distinction between a class or set that is defined by abstract criteria, and a class or set that is defined by enumerating its members;
• the classification relationship between a class or set and a member;
• the complete enumeration of the members for a class or set;
• the representation of set theory relationships between classes or sets;
• the following set theory relationships:
  • complement;
  • equivalence;
  • intersection;
  • power set;
  • proper subset;
  • subset;
  • union.

The following are outside the scope of this part of ISO 10303:

• mappings between sets or classes;
• relationships that are not classification or set theory relationships;
• entities and relationships specific to continuous sets.

  NOTE 1   All the entities and relationships within this part of ISO 10303 are equally valid for discrete and continuous sets.

  NOTE 2   Entities and relationships for continuous sets can be created in anntotated EXPRESS schemas that use or specialize entities in this part of ISO 10303, as follows:

  • discrete_class_by_intension and continuous_set can be disjoint subtypes of class_by_intension;
  • open_set and closed_set can be disjoint subtypes of continuous_set;
  • closure can be the relationship between an open_set and the closed_set that is its boundary.

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