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An Algebraic Theory for Data Linkage / Markus, Roggenbach

Recent Trends in Algebraic Development Techniques, Volume: 11563, Pages: 47 - 66

Swansea University Author: Markus, Roggenbach

  • Accepted Manuscript under embargo until: 26th June 2020

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...

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Published in: Recent Trends in Algebraic Development Techniques
ISBN: 978-3-030-23219-1 978-3-030-23220-7
ISSN: 0302-9743 1611-3349
Published: Springer 2019
Online Access: Check full text

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.
Keywords: Data Combination, Anonymity, Algebraic Modelling
Start Page: 47
End Page: 66