REAL

An application of incomplete pairwise comparison matrices for ranking top tennis players

Bozóki, Sándor and Csató, László and Temesi, József (2016) An application of incomplete pairwise comparison matrices for ranking top tennis players. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 248 (1). pp. 211-218. ISSN 0377-2217

[img]
Preview
Text
BozokiCsatoTemesi-EJOR-2016-manuscript-arXiv-1611.00538.pdf - Accepted Version

Download (443kB) | Preview

Abstract

Pairwise comparison is an important tool in multi-attribute decision making. Pairwise comparison matrices (PCM) have been applied for ranking criteria and for scoring alternatives according to a given criterion. Our paper presents a special application of incomplete PCMs: ranking of professional tennis players based on their results against each other. The selected 25 players have been on the top of the ATP rankings for a shorter or longer period in the last 40 years. Some of them have never met on the court. One of the aims of the paper is to provide ranking of the selected players, however, the analysis of incomplete pairwise comparison matrices is also in the focus. The eigenvector method and the logarithmic least squares method were used to calculate weights from incomplete PCMs. In our results the top three players of four decades were Nadal, Federer and Sampras. Some questions have been raised on the properties of incomplete PCMs and remains open for further investigation.

Item Type: Article
Subjects: H Social Sciences / társadalomtudományok > HB Economic Theory / közgazdaságtudomány
H Social Sciences / társadalomtudományok > HB Economic Theory / közgazdaságtudomány > HB5 Mathematical economics / matematikai közgazdaságtan
Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA166-QA166.245 Graphs theory / gráfelmélet
Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Depositing User: Dr. Sándor Bozóki
Date Deposited: 06 Sep 2017 07:58
Last Modified: 06 Sep 2017 07:58
URI: http://real.mtak.hu/id/eprint/61660

Actions (login required)

Edit Item Edit Item