Weak Measurement Theory for Discrete Scales

With the increasing spread of computers and the internet among culturally, linguistically and geographically diverse communities, issues of internationalization and localization and becoming increasingly important. For some of the issues such as different scales for length and temperature, there is a well-developed measurement theory. For others such as date formats no such theory will be possible. This paper fills a gap by developing a measurement theory for a class of scales previously overlooked, based on discrete and interval-valued scales such as spanner and shoe sizes. The paper gives a theoretical foundation for a class of data representation problems.

• Jan Newmarch

• Data representation
• internationalisation
• localisation
• measurement theory.

[1] WWW Consortium, "Internationalization activity statement," 2005,
retrieved November 26, 2009 from http://www.w3.org/International/
Activity.html.
[2] A. Deitsch and D. Czarnecki, Java Internationalization. O-Reilly Press,
2001.
[3] T. Kubota, "Introduction to i18n," 2001, retrieved November 26, 2009
from http://www.debian.org/doc/manuals/intro-i18n/index.en.html.
[4] WWW Consortium, "Styling using language attributes," 2001, retrieved
November 26, 2009 from http://www.w3.org/International/questions/
qa-css-lang.
[5] ÔÇöÔÇö, "Web services internationalization usage scenarios," 2004,
retrieved November 26, 2009 from http://www.w3.org/TR/2004/
WD-ws-i18n-scenarios-20040512/.
[6] D. M. Geary, Core JSTL: Mastering the JSP Standard Tag Library.
Prentice-hall, 2003.
[7] T. Texin, "Internationalization (i18n), localization (l10n), standards, and
amusements," 2006, retrieved November 26, 2009 from http://www.
i18nguy.com/.
[8] ÔÇöÔÇö, "International shoe size conversion charts," 2006, retrieved
November 26, 2009 from http://www.i18nguy.com/l10n/shoes.html.
[9] ÔÇöÔÇö, "How companies are losing money on the internet," 2003,
pDF document available from http://www.xencraft.com/resources/
internet-retailing.html.
[10] R. Rowlett, "Units of measure dictionary," retrieved November 26 from
http://www.unc.edu/Ôê╝rowlett/units/.
[11] C. J. M. Gunther Schadow, "The unified code for units of measure,"
2005, retrieved April 13, 2006 from http://aurora.rg.iupui.edu/
Ôê╝schadow/units/UCUM/.
[12] D. H. Krantz, R. D. Luce, P. Suppes, and A. Tversky, Foundations of
Measurement. Academic Press, 1971.
[13] L. Narens, Abstract Measurement Theory. MIT Press, 1985.
[14] ÔÇöÔÇö, Introduction to the theories of measurement and meaningfulness
and the use of symmetry in science. Lawrence Elrbaum Associates,
2007.
[15] K. Berka, Measurement - its concepts, theories and problems. D. Reidel
Publishing Co, 1983.
[16] J. Bobbit, "Units of measure recommendations," 2001, retrieved November
26, 2009 from http://www.posc.org/ebiz/pefxml/patternsobjects.
html#units.
[17] M. Barr and C. Wells, Category Theory for Computing Science.
Prentice-Hall, 1990.
[18] P. Hunlock, "Functional javascript," 2007, retrieved January 13, 2008
from http://www.hunlock.com/blogs/Functional\ Javascript.
[19] Z. Wang and G. J. Klir, Fuzzy measure theory. Plenum Press, 1992.
[20] D. Dubois, E. Kerre, R. Mesiar, and H. Prade, "Fuzzy interval analysis,"
in Fundamentals of fuzzy sets. Kluwer Academic Publishers, 2000.