کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
479471 1445993 2016 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An application of incomplete pairwise comparison matrices for ranking top tennis players
ترجمه فارسی عنوان
استفاده از ماتریس مقایسه ناپیوسته برای رتبه بندی بازیکنان برتر تنیس
کلمات کلیدی
پشتیبانی تصمیم گیری؛ ماتریس مقایسه زوجی ناقص؛ رتبه بندی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی


• A new method for ranking top tennis players is proposed.
• Application of incomplete pairwise comparison matrices is provided.
• An interactive graph visualizes the players who have played against each other.

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Operational Research - Volume 248, Issue 1, 1 January 2016, Pages 211–218
نویسندگان
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