| Title:
|
Tolerances, interval orders, and semiorders (English) |
| Author:
|
Janowitz, M. F. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
21-38 |
| . |
| Category:
|
math |
| . |
| MSC:
|
04A05 |
| MSC:
|
06A06 |
| MSC:
|
06B10 |
| MSC:
|
06B99 |
| idZBL:
|
Zbl 0809.06001 |
| idMR:
|
MR1257933 |
| DOI:
|
10.21136/CMJ.1994.128450 |
| . |
| Date available:
|
2009-09-24T09:35:51Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128450 |
| . |
| Reference:
|
[1] H.-J. Bandelt: Tolerance relations on lattices.Bulletin Australian Mathematical Society 23 (1981), 367–381. Zbl 0449.06005, MR 0625179, 10.1017/S0004972700007255 |
| Reference:
|
[2] H.-J. Bandelt: Toleranzrelationen als Galoisverbindungen.Acta Universitatis Szegediensis. Acta Scientarum Mathematicarum 46 (1983), 55–58. Zbl 0535.06004, MR 0739022 |
| Reference:
|
[3] G. Birkhoff: Lattice theory, 3rd ed..American Math. Society, Providence, 1967. MR 0227053 |
| Reference:
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[4] J.-P. Doignon: Partial structures of preference.Nonconventional preference relations in decision making, M. Roubens and J. Kacprzyk (eds.), Springer-Verlag, Berlin, 1982. MR 1133644 |
| Reference:
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[5] J.-P. Doignon, A. Ducamp and J.-C. Falmagne: On the separation of two relations by a biorder or a semiorder.Mathematical Social Sciences 13 (1987), 1–18. MR 0881699, 10.1016/S0165-4896(87)80001-X |
| Reference:
|
[6] P. C. Fishburn: Interval indifference with unequal indifference intervals.Journal of Mathematical Psychology 7 (1970), 144–149. MR 0253942, 10.1016/0022-2496(70)90062-3 |
| Reference:
|
[7] P. C. Fishburn: Interval orders and interval graphs.Wiley-Interscience, New York, 1985. Zbl 0551.06001, MR 0776781 |
| Reference:
|
[8] L. Guttman: A basis for scaling quantitative data.American Sociological Review 9 (1944), 139–150. MR 0010352, 10.2307/2086306 |
| Reference:
|
[9] M. F. Janowitz: Tolerances and congruences on lattices.Czechoslovak Mathematics Journal 36 (III) (1986), 108–115. Zbl 0598.06004, MR 0822874 |
| Reference:
|
[10] K. H. Kim, D. G. Rogers and F. W. Roush: Similarity measures and semiorders.Proceedings of the 10th Southeast Conference on Combinatorics, Graph Theory and Computing, Congressus Numerantuim XXII–XXIV, Utilitas Mathematica, Winnipeg, 1978. |
| Reference:
|
[11] R. D. Luce: Semiorders and a theory of utility discrimination.Econometrica 24 (1956), 178–191. Zbl 0071.14006, MR 0078632, 10.2307/1905751 |
| Reference:
|
[12] F. S. Roberts: Measurement theory.Encyclopedia of Mathematics and its Applications, (Vol. 7), Addison Wesley, Reading, MA, 1979. Zbl 0432.92001, MR 0551364 |
| Reference:
|
[13] I. G. Rosenberg and D. Schweigert: Compatible orderings and tolerances of lattices.in: orders: Description and Roles, M. Pouzet and D. Richard (eds.), North-Holland, Amsterdam, 1982. MR 0779849 |
| Reference:
|
[14] B. Roy: Préférence, indifférence, incomparabilité.Documents du LAMSADE, No. 9, Université de Paris-Dauphine, 1980. |
| Reference:
|
[15] M. Roubens and Ph. Vincke: A definition of partial interval orders.in: Trends in Mathematical Psychology, E. Degreef and J. van Buggenhaut (eds.), North-Holland, Amsterdam, 1984. MR 0787066 |
| Reference:
|
[16] N. Weiner: Contribution to the theory of relative position.Proceedings Cambridge Philosophical Society 17 (1914), 441–449. |
| Reference:
|
[17] E. C. Zeeman: The topology of the brain and visual perception.In: The topology of 3-manifolds, M. K. Fort (ed.), Prentice-Hall, Englewood Cliffs, 1961. MR 0140374 |
| Reference:
|
[18] B. Zelinka: Tolerance in algebraic structures.Czechoslovak Mathematical Journal 20 (1970), 240–256. Zbl 0197.01002, MR 0260653 |
| . |
