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Conference Paper/Proceeding/Abstract 941 views 142 downloads

An Algebraic Theory for Data Linkage

Liang-Ting Chen, Markus Roggenbach Orcid Logo, John V. Tucker

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

Swansea University Author: Markus Roggenbach Orcid Logo

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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...

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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
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URI: https://cronfa.swan.ac.uk/Record/cronfa50298
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first_indexed 2019-05-13T10:26:29Z
last_indexed 2020-07-21T13:11:05Z
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spelling 2020-07-21T12:34:49.0773419 v2 50298 2019-05-09 An Algebraic Theory for Data Linkage 7733869ae501442da6926fac77cd155b 0000-0002-3819-2787 Markus Roggenbach Markus Roggenbach true false 2019-05-09 SCS 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. Conference Paper/Proceeding/Abstract Recent Trends in Algebraic Development Techniques 11563 47 66 Springer 978-3-030-23219-1 978-3-030-23220-7 0302-9743 1611-3349 Data Combination, Anonymity, Algebraic Modelling 26 6 2019 2019-06-26 10.1007/978-3-030-23220-7_3 COLLEGE NANME Computer Science COLLEGE CODE SCS Swansea University 2020-07-21T12:34:49.0773419 2019-05-09T12:06:33.3595991 Liang-Ting Chen 1 Markus Roggenbach 0000-0002-3819-2787 2 John V. Tucker 3 50298__13736__983f365f9cf24631a82daecc48de0621.pdf wadt-paper.pdf 2019-05-09T12:16:22.1330000 Output 1072652 application/pdf Accepted Manuscript true 2020-06-26T00:00:00.0000000 true eng
title An Algebraic Theory for Data Linkage
spellingShingle An Algebraic Theory for Data Linkage
Markus Roggenbach
title_short An Algebraic Theory for Data Linkage
title_full An Algebraic Theory for Data Linkage
title_fullStr An Algebraic Theory for Data Linkage
title_full_unstemmed An Algebraic Theory for Data Linkage
title_sort An Algebraic Theory for Data Linkage
author_id_str_mv 7733869ae501442da6926fac77cd155b
author_id_fullname_str_mv 7733869ae501442da6926fac77cd155b_***_Markus Roggenbach
author Markus Roggenbach
author2 Liang-Ting Chen
Markus Roggenbach
John V. Tucker
format Conference Paper/Proceeding/Abstract
container_title Recent Trends in Algebraic Development Techniques
container_volume 11563
container_start_page 47
publishDate 2019
institution Swansea University
isbn 978-3-030-23219-1
978-3-030-23220-7
issn 0302-9743
1611-3349
doi_str_mv 10.1007/978-3-030-23220-7_3
publisher Springer
document_store_str 1
active_str 0
description 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.
published_date 2019-06-26T04:01:43Z
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score 11.014224

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