A representation for intransitive indifference relations

Mathematical social sciences

Volumn 50, Issue 2, 2005, Pages 202-214

  Özbay, Erkut Yusuf ^a   Filiz, Emel ^b  

^a NEW YORK UNIVERSITY   (United States)

^b Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

Error; Interval order; Just noticeable difference; Semiorder; Utility function

Indexed keywords

EID: 21844449150     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mathsocsci.2005.02.004     Document Type: Article

References (30)

1. Abbas, M., 1994. Contribution au rapproachement de la théorie des graphes et de l'aide a la décision: Graphes parfaits et modéles de preference. PhD thesis, Université Libre de Bruxelles, Belgium.
2. M. Abbas M. Pirlot Ph. Vincke Preference structures and co-comparability graphs Journal of Multi-Criteria Decision Analysis 5 1996 81-98
3. R. Agaev F. Aleskerov Interval choice: Classic and general cases Mathematical Social Sciences 26 1993 249-272
4. M. Aizerman F. Aleskerov Theory of Choice 1995 Elsevier North Holland
5. F. Aleskerov Y. Masatlioglu Utility representation via additive or multiplicative error functions Discrete Applied Mathematics 127 2 2003 181-197
6. F. Aleskerov B. Monjardet Utility Maximization, Choice and Preference 2002 Springer-Verlag Heidelberg
7. Aleskerov, F., Vol'skiy, V., 1987. Choice of the best variants on binary relations and the extremizational choice. Preprints 10th World Congress on Automatic Control.
8. W.E. Armstrong The determinateness of the utility function Economic Journal 49 1939 453-467
9. W.E. Armstrong Uncertainty and the utility function Economic Journal 58 1948 1-10
10. W.E. Armstrong A note on the theory of consumer's behavior Oxford Economic Papers 2 1950 119-122
11. W.E. Armstrong Utility and the theory of welfare Oxford Economic Papers 3 1951 259-271
12. K.J. Arrow Rational choice functions and orderings Economica 26 1959 121-127
13. J.P. Doignon B. Monjardet M. Roubens Ph. Vincke Biorder families, valued relations, and preference modelling Journal of Mathematical Psychology 30 1986 435-480
14. G.T. Fechner Elemente der Psychophysik 1860 Breitkopf und Hörtel Leipzig
15. P.C. Fishburn Interval Orders and Interval Graphs, A Study of Partially Ordered Sets 1985 Wiley New York
16. P. Fishburn C. Monjardet Norbert Wiener on the theory of measurement (1914, 1915, 1921) Journal of Mathematical Psychology 36 2 1992 165-184
17. J.C. Fodor M. Roubens Parameterized preference structures and some geometrical interpretation Journal of Multi-Criteria Decision Analysis 6 1997 253-258
18. D.H. Krantz Integration of just-noticeable differences Journal of Mathematical Psychology 8 1971 591-599
19. R.D. Luce Semiorders and a theory of utility discrimination Econometrica 24 1956 178-191
20. R.D. Luce W. Edwards The derivation of subjective scales from just noticeable differences Psychological Review 65 1958 222-237
21. R.D. Luce P. Suppes Representational measurement theory In: H. Pashler J. Wixted (Eds.), Stevens' Handbook of Experimental Psychology vol. 4 2002 Wiley New York 1-41
22. B. Mirkin Group Choice 1974 Winston New York
23. B. Monjardet Intervals, intervals... Order 5 2 1988 211-219
24. M. Pirlot Ph. Vincke Semi Orders 1997 Kluwer Academic Dordrecht
25. M. Roubens Ph. Vincke Preference Modelling 1985 Springer Verlag Berlin
26. P.A. Samuelson A note of pure theory of consumer's behavior Economica 5 1938 61-71
27. D. Scott P. Suppes Foundational aspects of theories of measurement Journal of Symbolic Logic 23 2 1958 113-128
28. S.S. Stevens On the psychophysical law Psychological Review 64 1957 153-181
29. S. Stevens Psychophysics 1975 Wiley New York
30. N. Wiener A contribution to the theory of relative position Proceedings of the Cambridge Philosophical Society 17 1914 441-449