Alternative methods of constructing strict weak orders from interval orders. (English) Zbl 0302.92013


91E99 Mathematical psychology
06A06 Partial orders, general
06A05 Total orders
62P15 Applications of statistics to psychology
Full Text: DOI


[1] Bogart, K. P., Preference structures I: distances between transitive preference relations, Journal of Mathematical Sociology, 3, 49-67 (1973) · Zbl 0303.92013 · doi:10.1080/0022250X.1973.9989823
[2] Draper, N. R.; Smith, H., Applied regression analysis, 22-22 (1966), New York: Wiley, New York
[3] Fishburn, P. C., Intransitive indifference with unequal indifference intervals, Journal of Mathematical Psychology, 7, 144-149 (1970) · Zbl 0191.31501 · doi:10.1016/0022-2496(70)90062-3
[4] Fishburn, P. C., On the construction of weak orders from fragmentary information, Psychometrika, 38, 459-472 (1973) · Zbl 0285.06001 · doi:10.1007/BF02291489
[5] Fishburn, P. C., Interval representations for interval orders and semiorders, Journal of Mathematical Psychology, 10, 91-105 (1973) · Zbl 0264.06003 · doi:10.1016/0022-2496(73)90007-2
[6] Fishburn, P. C. and Gehrlein, W. V. A comparative analysis of methods for constructing weak orders from partial orders.Journal of Mathematical Sociology, (In Press). · Zbl 0324.68071
[7] Gröbner, W.; Hofreiter, N., Unbestimmte integraltafel, Vol. 1 (1965), Wein: Springer-Verlag, Wein · Zbl 0149.12804 · doi:10.1007/978-3-662-38227-1
[8] Gröbner, W.; Hofreiter, N., Bestimmte integraltafel, Vol. 2 (1966), Wein: Springer-Verlag, Wein · Zbl 0142.13504
[9] Hodgman, C., Handbook of chemistry and physics, 219-219 (1962), Cleveland: Chemical Rubber Publishing Co., Cleveland
[10] Hogg, R. V.; Craig, A. T., Introduction to mathematical statistics, 173-173 (1965), New York: Macmillan, New York · Zbl 0192.25603
[11] Kemeny, J. G., Mathematics without numbers, Daedalus, 88, 577-591 (1959)
[12] Kemeny, J. G.; Snell, J. L., Mathematical models in the social sciences, 11-19 (1962), Boston: Ginn and Company, Boston · Zbl 0256.92003
[13] Krantz, D. H., Luce, R. D., Suppes, P. and Tversky, A.Foundations of measurement, Vol. II. New York: Academic Press (In Press). · Zbl 0232.02040
[14] Luce, R. D., Semiorders and a theory of utility discrimination, Econometrica, 24, 178-191 (1956) · Zbl 0071.14006 · doi:10.2307/1905751
[15] Scott, D.; Suppes, P., Foundational aspects of theories of measurement, Journal of Symbolic Logic, 23, 113-128 (1958) · Zbl 0084.24603 · doi:10.2307/2964389
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