An axiomatic approach to distance on partial orderings

Wade D. Cook; Moshe Kress; Lawrence M. Seiford

RAIRO - Operations Research - Recherche Opérationnelle (1986)

  • Volume: 20, Issue: 2, page 115-122
  • ISSN: 0399-0559

How to cite

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Cook, Wade D., Kress, Moshe, and Seiford, Lawrence M.. "An axiomatic approach to distance on partial orderings." RAIRO - Operations Research - Recherche Opérationnelle 20.2 (1986): 115-122. <http://eudml.org/doc/104894>.

@article{Cook1986,
author = {Cook, Wade D., Kress, Moshe, Seiford, Lawrence M.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {ranking; distance measure on the set of all partial orderings},
language = {eng},
number = {2},
pages = {115-122},
publisher = {EDP-Sciences},
title = {An axiomatic approach to distance on partial orderings},
url = {http://eudml.org/doc/104894},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Cook, Wade D.
AU - Kress, Moshe
AU - Seiford, Lawrence M.
TI - An axiomatic approach to distance on partial orderings
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1986
PB - EDP-Sciences
VL - 20
IS - 2
SP - 115
EP - 122
LA - eng
KW - ranking; distance measure on the set of all partial orderings
UR - http://eudml.org/doc/104894
ER -

References

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  1. 1. D. BLACK, The Theory of Committees and Elections, Cambridge Univ. Press, Cambridge, 1958. Zbl0091.15706
  2. 2. P. K. BOGART, Preference Structures I: Distances Between Transitive Preference Relations, J. Math. Sociology, Vol. 3, 1973, pp. 49-67. Zbl0303.92013MR395936
  3. 3. K. P. BOGART, Preference Structures II: Distances Between Asymmetric Relations, S.I.A.M. J. Appl. Math., Vol. 29, No. 2, 1975, pp. 254-262. Zbl0326.92018MR395937
  4. 4. O. A. DAVIS, M. H. DEGROOT and M. J. HINICH, Social Preference Orderings and Majority Rule, Econometrica, Vol. 40, No. 1, 1972, pp. 147-157. Zbl0261.90006MR392038
  5. 5. J. G KEMENY and L. J SNELL, Preference Ranking: An Axiomatic Approach, in Mathematical Models in the Social Sciences, Ginn, New York, 1962, pp. 9-23. MR140375
  6. 6. R. D. LUCE and P. SUPPES, Preference, Utility, and Subjective Probability, Chapter 19, in The Handbook of Mathematical Psychology, Vol. III, R. D. LUCE, éd., John Wiley and Sons, New York, 1965. 
  7. 7. W. R. RIKER, Volting and Summation of Preferences: An Interpretive Bibliographical Review of Selected Developments During the Last Decade, Amer. Political Sc. Rev., Vol. 5, 1961, pp. 900-911. 

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