Sur les représentations minimales des semiordres et des ordres d'intervalles

J.-P. Doignon

Mathématiques et Sciences Humaines (1988)

  • Volume: 101, page 49-59
  • ISSN: 0987-6936

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Doignon, J.-P.. "Sur les représentations minimales des semiordres et des ordres d'intervalles." Mathématiques et Sciences Humaines 101 (1988): 49-59. <http://eudml.org/doc/94357>.

@article{Doignon1988,
author = {Doignon, J.-P.},
journal = {Mathématiques et Sciences Humaines},
keywords = {aggregation method; minimality; numerical representations of semiorders; interval orders; partial and multiple structures of preference},
language = {fre},
pages = {49-59},
publisher = {Ecole des hautes-études en sciences sociales},
title = {Sur les représentations minimales des semiordres et des ordres d'intervalles},
url = {http://eudml.org/doc/94357},
volume = {101},
year = {1988},
}

TY - JOUR
AU - Doignon, J.-P.
TI - Sur les représentations minimales des semiordres et des ordres d'intervalles
JO - Mathématiques et Sciences Humaines
PY - 1988
PB - Ecole des hautes-études en sciences sociales
VL - 101
SP - 49
EP - 59
LA - fre
KW - aggregation method; minimality; numerical representations of semiorders; interval orders; partial and multiple structures of preference
UR - http://eudml.org/doc/94357
ER -

References

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  1. Cozzens M.B., Roberts F.S., "Double semiorders and double indifference graphs", SIAM Journal on Algebraic and Discrete Methods, 3 (1982) , 566-582. Zbl0519.05059MR679651
  2. Doignon J.-P., "Threshold representations of multiple semiorders", SIAM Journal on Algebraic and Discrete Methods, 8 (1987a), 77-84. Zbl0613.06002MR872058
  3. Doignonj.- P., "Partial structures of preference", in Non conventional Preference Relations in Decision Making, J. Kacprzyk et M. Roubens, eds, Berlin, Springer-Verlag, sous presse (1987b) Zbl0652.90008MR1133644
  4. Doignon J.-P., Monjardet B., Roubens M., Vincke Ph., "Biorder families, valued relations and preference modelling", Journal of Mathematical Psychology, 30 (1986), 435-480. Zbl0612.92020MR868774
  5. Fishburn P.C., "Intransitive indifference with unequal indifference intervals", Journal of Mathematical Psychology, 7 (1970), 144-149. Zbl0191.31501MR253942
  6. Fishburn P.C., Interval Orders and Interval Graphs, New York, Wiley, 1985. Zbl0551.06001MR776781
  7. Luce R.D., "Semiorders and a theory of utility discrimination", Econometrica, 24 (1956), 178-191. Zbl0071.14006MR78632
  8. Monjardet B., "Axiomatiques et propriétés des quasi-ordres", Mathématiques et Sciences humaines, 63 (1978), 51-82. Zbl0417.06005MR522223
  9. Pirlot M., "Minimal representation of a semiorder", soumis. Zbl0685.90007
  10. Roberts F.S., Measurement Theory, Encyclopedia of Mathematics and its Applications, vol. 7, Reading, MA, Addison-Wesley, 1979. Zbl0432.92001MR551364
  11. Roubens M., Vincke Ph., "A definition of partial interval orders", in Trends in Mathematical Psychology, E. Degreef et J. Van Buggenhaut, eds, Amsterdam, North Holland, 1984 (pp. 309-315) Zbl0541.92026MR787066
  12. Roubens M., Vincke Ph., Preference Modelling, Lecture Notes in Economics and Mathematical Systems, 250, Berlin, Springer-Verlag, 1985. Zbl0572.90001MR809182
  13. Roy B., " Préférence, indifférence, incomparabilite", Documents du LAMSADE n°9, Université de ParisDauphine, 1980. 
  14. Roy B., Vincke, Ph., "Pseudo-orders : definition, properties and numerical representation ", Mathematical Social Sciences, 14 (1987), sous presse. Zbl0628.90001MR919688
  15. Scott D., Suppes P., "Foundational aspects of theories of measurement", Journal of Symbolic Logic, 23 (1958), 113-128. Zbl0084.24603MR115919

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