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Comparability orders and measurement

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Advances in Petri Nets 1993 (ICATPN 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 674))

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Abstract

This paper is concerned with the relationship between continuous phenomena and discrete representations in measurement. Empirical indistinguishability is identified as a fundamental notion. We show that this relation is in general not transitive and discuss the consequences of this fact for the construction and application of ordinal measurement scales. In particular, we develop a normal form for the representation of empirical orderings. This includes the investigation of denseness notions compatible with discrete partial orders.

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Authors and Affiliations

  1. GMD-I1.P, Schloß Birlinghoven, 5205, St. Augustin, Germany

    Einar Smith

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  1. Einar Smith
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Grzegorz Rozenberg

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© 1993 Springer-Verlag Berlin Heidelberg

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Smith, E. (1993). Comparability orders and measurement. In: Rozenberg, G. (eds) Advances in Petri Nets 1993. ICATPN 1991. Lecture Notes in Computer Science, vol 674. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56689-9_52

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  • DOI: https://doi.org/10.1007/3-540-56689-9_52

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56689-2

  • Online ISBN: 978-3-540-47631-3

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