Title:

Effective solution of the Kemeny median. The case of ties in group ranking

Subtitle:

Raport Badawczy = Research Report ; RB/71/2011

Creator:

Bury, Hanna ; Wagner, Dariusz W.

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2011

Description:

14 pages ; 21 cm ; Bibliography p. 14

Subject and Keywords:

Pairwise comparison matrix ; Macierz porównania par ; Group ranking ; Ranking grupowy ; Ties in group ranking ; The kemeny median method ; Więzi w rankingu grupowym ; Metoda mediany kemeny

Abstract:

In the paper a heuristic procedure of determining the Kemeny median is presented. It is assumed that all the alternatives are compared and ties may occur in experts’ opinions as well as in group rankings. The loss matrix is applied to derive the solution. Lower bound of a distance of a given ranking from experts’opinions is evaluated for the case of ties in group ranking. It is also shown that the procedure of determining the Kemeny median can be simplified by means of the analysis of the loss matrix.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2011-71

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open