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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: Date issued/created: Description:14 stron ; 21 cm ; Bibliografia s. 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: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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