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- W2080388961 abstract "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." @default.
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- W2080388961 date "2010-08-01" @default.
- W2080388961 modified "2023-09-24" @default.
- W2080388961 title "Generalized extensive measurement for lexicographic orders" @default.
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- W2080388961 doi "https://doi.org/10.1016/j.jmp.2010.06.002" @default.
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