The measurement of ranks and the laws of iterated contraction

25Citations
Citations of this article
15Readers
Mendeley users who have this article in their library.

Abstract

Ranking theory delivers an account of iterated contraction; each ranking function induces a specific iterated contraction behavior. The paper shows how to reconstruct a ranking function from its iterated contraction behavior uniquely up to multiplicative constant and thus how to measure ranks on a ratio scale. Thereby, it also shows how to completely axiomatize that behavior. The complete set of laws of iterated contraction it specifies amend the laws hitherto discussed in the literature. © 2008 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Hild, M., & Spohn, W. (2008). The measurement of ranks and the laws of iterated contraction. Artificial Intelligence, 172(10), 1195–1218. https://doi.org/10.1016/j.artint.2008.03.002

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free