Conference Paper/Proceeding/Abstract 941 views 142 downloads
An Algebraic Theory for Data Linkage
Liang-Ting Chen,
Markus Roggenbach 
,
John V. Tucker
,
John V. Tucker
Recent Trends in Algebraic Development Techniques, Volume: 11563, Pages: 47 - 66
Swansea University Author:
Markus Roggenbach
-
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DOI (Published version): 10.1007/978-3-030-23220-7_3
Abstract
There are countless sources of data available to governments, companies, and citizens, which can be combined for good or evil. We analyse the concepts of combining data from common sources and linking data from different sources. We model the data and its information content to be found in a single...
| Published in: | Recent Trends in Algebraic Development Techniques |
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| ISBN: | 978-3-030-23219-1 978-3-030-23220-7 |
| ISSN: | 0302-9743 1611-3349 |
| Published: |
Springer
2019
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa50298 |
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| Abstract: |
There are countless sources of data available to governments, companies, and citizens, which can be combined for good or evil. We analyse the concepts of combining data from common sources and linking data from different sources. We model the data and its information content to be found in a single source by an ordered partial monoid, and the transfer of information between sources by different types of morphisms. To capture the linkage between a family of sources, we use a form of Grothendieck construction to create an ordered partial monoid that brings together the global data of the family in a single structure. We apply our approach to database theory and axiomatic structures in approximate reasoning. Thus, ordered partial monoids provide a foundation for the algebraic study for information gathering in its most primitive form. |
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| Keywords: |
Data Combination, Anonymity, Algebraic Modelling |
| Start Page: |
47 |
| End Page: |
66 |