# 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

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topCook, 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

top- 1. D. BLACK, The Theory of Committees and Elections, Cambridge Univ. Press, Cambridge, 1958. Zbl0091.15706
- 2. P. K. BOGART, Preference Structures I: Distances Between Transitive Preference Relations, J. Math. Sociology, Vol. 3, 1973, pp. 49-67. Zbl0303.92013MR395936
- 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. 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. 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. 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. 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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