Abstract
In this paper we examine various $l^1 $ distance measures on linear ranking spaces. Beginning with the absolute position measure of Blin, we construct two offspring measures—one based on relative rank positioning, the other on relative object positioning. The first is shown to be equivalent to the permutation vector method of Cook and Seiford. The other is equivalent to the preference matrix method of Kemeny and Snell. We also prove that the Kemeny and Snell method can be formulated as a quadratic assignment problem.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
