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What is Isomorphism

Handbook of Research on E-Business Standards and Protocols: Documents, Data and Advanced Web Technologies
A mapping from a source set to a target set that preserves the relational structure of the source set. I.e., if two elements of the source set are related, then the corresponding elements of the target set are related in the same way.
Published in Chapter:
The Metaphorical Foundation of Interoperability Artifacts: The Case of Public Services
Veit Jahns (University of Duisburg-Essen, Germany)
DOI: 10.4018/978-1-4666-0146-8.ch011
Abstract
In this chapter, artifacts designed to facilitate the semantic interoperability between Information Systems are discussed in relation to the so-called metaphor theory. The main assumption of this theory is that the conceptualization of the world is mainly a metaphorical one; i.e., the concepts of a given domain are conceptualized by concepts of a more concrete domain. Based on this theory, selected interoperability artifacts for the modeling and describing public services are discussed and analyzed. In particular, it will be demonstrated how the conceptual metaphor can be used to get a better understanding of the domain the interoperability artifacts are designed for.
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More Results
The Influence of Institutional Environment on Environmental Practices and Its Impact on Regional Development: A Gender Perspective
The term 'isomorphism' means 'the same way”. It seeks to highlight the idea that there are formal similarities and correspondence between different types of systems. The word isomorphism refers to the construction of systems models similar to the original model. In our study, isomorphism behavior refers to the different companies behaving in a similar way to the model set out in our investigation.
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The Influence of Institutional Environment on Quality Practices and Its Impact on Regional Development
The term 'isomorphism' means 'the same way”. It seeks to highlight the idea that there are formal similarities and correspondence between different types of systems. The word isomorphism refers to the construction of systems models similar to the original model. In our study, isomorphism behavior refers to the different companies behaving in a similar way to the model set out in our investigation.
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Institutional Isomorphism and New Technologies
A constraining process that forces one unit in a population to resemble other units facing the same set of environmental conditions. It stimulates an evolutionary path from diversity to homogeneity, as the result of imitation among organizations or independent development under similar constraints
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Riesz Potential With Logarithmic Kernel in Generalized Hölder Spaces: Theorems on Inversion and Isomorphisms
An isomorphism is a homomorphism that is a bijection, i.e. it is a mapping, that preserves sets and relations among elements and can be reversed by an inverse mapping.
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