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The Application of UML Association End Multiplicities for Conceptual Modeling

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On the Move to Meaningful Internet Systems: OTM 2016 Workshops (OTM 2016)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 10034))

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Abstract

In this paper we will present the results of research into the semantics of association end multiplicities (AEMs) in the Unified Modeling Language (UML). In this paper we will give a precise definition of the AEM concept in UML based upon the various definition ‘fragments’ we have encountered in the UML literature and we will give explicit rules for the application of the AEM for the conceptual modeling of an application subject area.

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Notes

  1. 1.

    Although in version 2 2.5 of the OMG modelling language, the following definition fragment can be found: “A lower multiplicity for an end of an n-ary Association of 1 (or more) implies that one link (or more) must exist for every possible combination of values for the other ends.” [10: p. 198], this is a trivial definition in terms of the existence of a value for a given role in a fact type for any fact instance.

  2. 2.

    In case we restrict the allowed values for the lower multiplicity to {0,1}.

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Authors and Affiliations

  1. Department of Organization and Strategy, School of Business and Economics, University of Maastricht, P.O. Box 616, 6200 MD, Maastricht, The Netherlands

    Peter Bollen

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  1. Peter Bollen
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Correspondence to Peter Bollen .

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Editors and Affiliations

  1. University Babes-Bolyai, Cluj-Napoca, Romania

    Ioana Ciuciu

  2. ADAPT Centre, Trinity College Dublin, Dublin 2, Ireland

    Christophe Debruyne

  3. University of Lorraine, Vandoeuvre-les-Nancy, France

    Hervé Panetto

  4. Profactor GmbH and Johannes Kepler, University Linz, Linz, Austria

    Georg Weichhart

  5. Maastricht University, Maastricht, The Netherlands

    Peter Bollen

  6. University of Innsbruck, Innsbruck, Austria

    Anna Fensel

  7. Universidad Simón Bolívar, Caracas, Venezuela

    Maria-Esther Vidal

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Bollen, P. (2017). The Application of UML Association End Multiplicities for Conceptual Modeling. In: Ciuciu, I., et al. On the Move to Meaningful Internet Systems: OTM 2016 Workshops. OTM 2016. Lecture Notes in Computer Science(), vol 10034. Springer, Cham. https://doi.org/10.1007/978-3-319-55961-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-55961-2_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-55960-5

  • Online ISBN: 978-3-319-55961-2

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