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Interval representations for interval orders and semiorders. (English) Zbl 0264.06003


MSC:

06A05 Total orders
06A06 Partial orders, general
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References:

[1] Cantor, G., Beiträge zur begründung der transfiniten mengenlehre, Mathematische annalen, 46, 481-512, (1895) · JFM 26.0081.01
[2] Fishburn, P.C., Intransitive indifference with unequal indifference intervals, Journal of mathematical psychology, 7, 144-149, (1970) · Zbl 0191.31501
[3] Fishburn, P.C., Utility theory for decision making, (1970), Wiley New York · Zbl 0213.46202
[4] Krantz, D.H., Extensive measurement in semiorders, Philosophy of science, 34, 348-362, (1967)
[5] Krantz, D.H.; Luce, R.D.; Suppes, P.; Tversky, A., ()
[6] Luce, R.D., Semiorders and a theory of utility discrimination, Econometrica, 24, 178-191, (1956) · Zbl 0071.14006
[7] Mirkin, B.G., Description of some relations on the set of real-line intervals, Journal of mathematical psychology, 9, 243-252, (1972) · Zbl 0236.06002
[8] Scott, D., Measurement structures and linear inequalities, Journal of mathematical psychology, 1, 233-247, (1964) · Zbl 0129.12102
[9] Scott, D.; Suppes, P., Foundational aspects of theories of measurement, Journal of symbolic logic, 23, 113-128, (1958) · Zbl 0084.24603
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