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Quantales for uncertainty in design engineering
Umeå University, Faculty of Science and Technology, Department of Computing Science.ORCID iD: 0000-0003-3965-2834
2021 (English)In: Proceedings of Fifth International Congress on Information and Communication Technology / [ed] Xin-She Yang, Simon Sherratt, Nilanjan Dey, Amit Joshi, Springer, 2021, , p. 9p. 368-376Chapter in book (Refereed)
Abstract [en]

In this paper we provide recommendations on how to use quantales as algebraic structures to represent uncertainty and many-valuedness in design engineering using relational views for connecting and combining information. Information is further detailed as based on underlying signatures of types and operators, providing expressions and terms that also become subjected to many-valued qualifications. Machine and engineering design, and related design structures usually adopt rather trivial relational models, and shallow expressions to describe various conditions. In particular, uncertainty, e.g., in prediction and risk estimation, is often based on quite rudimentary and ad-hoc probabilities of events that are mostly just named rather than described in detail. The objects in question being just named items, without elaborating on the internal structure of these objects, makes these descriptions to be simple constants, and truth valuation remains as only binary. We will show how objects can be structured, and how structured objects can be related using various algebraic structures. This enables to provide a richer model also on many-valuedness from a logical point of view. Specifically we will look at the algebraization of the Design Structure Matrix (DSM).

Place, publisher, year, edition, pages
Springer, 2021. , p. 9p. 368-376
Series
Advances in Intelligent Systems and Computing, ISSN 2194-5357 ; 1184
Keywords [en]
Condition, Expression, Fuzzy term, Many-valuedness, Quantale, Relational algebra
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:umu:diva-202934DOI: 10.1007/978-981-15-5859-7_36Scopus ID: 2-s2.0-85091926010ISBN: 978-981-15-5858-0 (print)ISBN: 978-981-15-5859-7 (electronic)OAI: oai:DiVA.org:umu-202934DiVA, id: diva2:1726989
Available from: 2023-01-14 Created: 2023-01-14 Last updated: 2023-01-14Bibliographically approved

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Eklund, Patrik

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CiteExportLink to record
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Cite
Citation style
  • apa
  • ieee
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  • de-DE
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