Abstract: The naturalistic interpretation of model representation advocates the reduction of the representational relationship between models and target systems to an isomorphic or similar relationship. However, this interpretation leads to a logical property problem: a contradiction between the asymmetry and non-reflexive nature of model representations and the symmetry and similarity of isomorphic or similar relations. Some scholars advocate adding subjective factors such as intentionality to the naturalistic interpretation of model representations to overcome this logical property problem, but this approach can only dissolve the symmetry and asymmetry contradiction between the two, but not the reflexive and non-reflexive contradiction. With the help of the model instrumentalism viewpoint, this paper proposes a model representation interpretation that synthesizes isomorphism or similarity, intentionality and instrumental attributes to overcome the logical property problem of naturalistic interpretation.

Key Words: Isomorphism; Similarity; Model representation; Asymmetry; Non-reflexive