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Generalized extensive measurement for lexicographic orders
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Arts, Department of Philosophy.
2010 (English)In: Journal of mathematical psychology (Print), ISSN 0022-2496, E-ISSN 1096-0880, Vol. 54, no 4, 345-351 p.Article in journal (Refereed) Published
Abstract [en]

Theories of extensive measurement usually assume an "Archimedean axiom", designed to exclude the possibility of infinite or infinitesimal differences among the objects of measurement. The standard theories are therefore not applicable to structures containing lexicographic orders In this paper, a generalized theory of extensive measurement is developed, which allows infinite and infinitesimal differences The theory has potential applications in areas such as value and preference research, where lexicographically ordered structures are common. Our result is fully analogous to the standard representation and uniqueness theorem of extensive measurement, and only simple and familiar mathematical concepts are assumed.

Place, publisher, year, edition, pages
2010. Vol. 54, no 4, 345-351 p.
Keyword [en]
Extensive measurement, Lexicographic structure, Concatenation structure, Non-Archimedean measurement
National Category
Philosophy
Identifiers
URN: urn:nbn:se:uu:diva-134897DOI: 10.1016/j.jmp.2010.06.002ISI: 000281752700001OAI: oai:DiVA.org:uu-134897DiVA: diva2:374070
Available from: 2010-12-02 Created: 2010-12-02 Last updated: 2017-12-12Bibliographically approved

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