General morphism for modeling relations in multimodeling

Shingo Takahashi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Multimodeling represents a recent remarkable progress in modeling methodology. It includes new types of relationships between models, which cannot be formulated as usual homomorphisms. First this paper identifies the three types of morphism for the modeling relations involved in multimodeling: homomorphism-type, refinement-type, and integration-type. The morphism that can deal with all the types is required to have the properties of partiality and behavior preservation as well as structure preservation. This paper develops a rigorous framework of general morphism for modeling theory so as to provide a formal device that fulfills such requirements and represents all the types of relationships between models including the relationships among experimental frame, real system, base model, lumped model in modeling theory, as well as those involved especially in multimodeling.

Original languageEnglish
Pages (from-to)169-178
Number of pages10
JournalTransactions of the Society for Computer Simulation
Issue number4
Publication statusPublished - 1996 Dec 1
Externally publishedYes

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Computational Theory and Mathematics


Dive into the research topics of 'General morphism for modeling relations in multimodeling'. Together they form a unique fingerprint.

Cite this