On the construction of weak orders from fragmentary information. (English) Zbl 0285.06001


06A06 Partial orders, general
62P15 Applications of statistics to psychology
62P25 Applications of statistics to social sciences
91E99 Mathematical psychology
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[1] Coombs, C. H.A theory of data. New York: Wiley, 1964.
[2] Fishburn, P. C. Utility theory with inexact preferences and degrees of preference.Synthese, 1970a,21, 204–221. · doi:10.1007/BF00413546
[3] Fishburn, P. C. Intransitive indifference with unequal indifference intervals.Journal of Mathematical Psychology, 1970b,7, 144–149. · Zbl 0191.31501 · doi:10.1016/0022-2496(70)90062-3
[4] Galanter, E. An axiomatic and experimental study of sensory order and measure.Psychological Review, 1956,63, 16–28. · doi:10.1037/h0040748
[5] Goodman, N.The structure of appearance. Cambridge, Mass.: Harvard Univ. Press, 1951. · Zbl 0042.43902
[6] Hodson, F. R., Kendall, D. G. and TĂutu, P. (eds.)Mathematics in the archaeological and historical sciences. Proceedings of a conference, Mamaia, Romania, 1970. Edinburgh: Edinburgh Univ. Press, 1971.
[7] Luce, R. D. Semiorders and a theory of utility discrimination.Econometrica, 1956,24, 178–191. · Zbl 0071.14006 · doi:10.2307/1905751
[8] Luce, R. D. and Galanter, E. Discrimination, Chapter 4 in R. D. Luce, R. R. Bush and E. Galanter (eds.),Handbook of mathematical psychology, Volume 1. New York: Wiley, 1963. · Zbl 0128.39901
[9] Luce, R. D. and Suppes, P. Preference, utility, and subjective probability, Chapter 19 in R. D. Luce, R. R. Bush and E. Galanter (eds.),Handbook of mathematical psychology, Volume 3. New York: Wiley, 1965.
[10] Scott, D. Measurement structures and linear inequalities.Journal of Mathematical Psychology, 1964,1, 233–247. · Zbl 0129.12102 · doi:10.1016/0022-2496(64)90002-1
[11] Scott, D. and Suppes, P. Foundational aspects of theories of measurement.Journal of Symbolic Logic, 1958,23, 113–128. · Zbl 0084.24603 · doi:10.2307/2964389
[12] Shepard, R. N. Circularity in judgments of relative pitch.Journal of the Acoustical Society of America, 1964,36, 2346–2353. · doi:10.1121/1.1919362
[13] Siegel, S. A method for obtaining an ordered metric scale.Psychometrika, 1956,21, 207–216. · Zbl 0074.14603 · doi:10.1007/BF02289100
[14] Szpilrajn, E. Sur l’extension de l’ordre partiel.Fundamenta Mathematicae, 1930,16, 386–389. · JFM 56.0843.02
[15] Tversky, A. Intransitivity of preferences.Psychological Review, 1969,76, 31–48. · doi:10.1037/h0026750
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