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PREFERENCE STRUCTURES I: DISTANCES BETWEEN TRANSITIVE PREFERENCE RELATIONS.
- Source :
- Journal of Mathematical Sociology; 1973, Vol. 3 Issue 1, p49, 19p
- Publication Year :
- 1973
-
Abstract
- This paper generalizes the Kemeny-Snell distance function for distances between weak orderings to a distance function for the collection of all partial orderings of a set. This generalization explains some of the seemingly strange properties of the Kemeny-Snell distance, and extends it to such important classes of orderings as semiorders and interval orders. In section four I consider possible applications of the distance function and describe a number of problems that arise in attempts to apply the distance function. In section 3 I discuss the concept of a distance function in more general terms and introduce a new distance function defined by a set of axioms different from those given in Section 2. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022250X
- Volume :
- 3
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Sociology
- Publication Type :
- Academic Journal
- Accession number :
- 9946865
- Full Text :
- https://doi.org/10.1080/0022250X.1973.9989823