An Integrated Assessment Model of Momentum and Performance in Tennis Based on PCA And TOPSIS


  • Zhiming Liang
  • Xiukang Shen
  • Yuxing He



Tennis game, principal component analysis, TOPSIS modeling.


This study conducted a complex analysis of the performance of athletes in tennis matches, taking into account that the performance of athletes is not only affected by the direction of the serve, but also by a variety of factors. Therefore, this study used a combination of Principal Component Analysis (PCA) and TOPSIS to solve this problem. Specifically, this study first extracted three indicators based on the original data and determined the weights of these indicators using the PCA method. Then, the momentum is reflected by weighting and summing these indicators. Next, this study used the TOPSIS model to combine momentum with other metrics in order to assess, visualise and analyse the performance of the players' scores at each point in the match. With this approach, this study was able to capture the flow of the game as scoring occurred during the match. Finally, this paper tested our model on several games and demonstrated that the model better captures the flow of the game as it is scored.


Download data is not yet available.


WANG Qiusi, GALIN GAHENNUR, DING Lan, et al. Research progress based on big data analysis of open source information of professional tennis [C] // Chinese Society of Sports Science. Abstracts Collection of the 13th National Sports Science Conference - Wall Paper Communication (Athletic Training Section) (II). Beijing Sport University; 2023: 3.

C.Y. Huang. Research on tennis match performance prediction model based on BP neural network [D]. Fujian Normal University, 2022.

Rong Zhang. Result prediction and player analysis of tennis matches [D]. Yunnan University, 2022.

ZHOU Wu, ZHANG Chi, CAO Yingying. Analysis of the competitive performance of men's professional tennis singles players in the 2019 season [J]. Hubei Sports Science and Technology, 2021, 40 (06): 549-556.

LIN Long, CHEN Tao, RONG Miaofeng. Comprehensive evaluation of kill quality of excellent female badminton singles players based on TOPSIS+RSR method [J]. Journal of Guangzhou Sports Institute, 2021, 41 (06): 105-110.

Zhang Limin. Comprehensive evaluation of key points serve and receive performance of excellent male tennis singles players in the past ten years [D]. Guangzhou Sports Institute, 2021.

Meier P, Flepp R, Ruedisser M, et al. Separating psychological momentum from strategic momentum: Evidence from men’s professional tennis [J]. Journal of Economic Psychology, 2020, 78: 102269.

Moss B, O’Donoghue P. Momentum in US Open men’s singles tennis [J]. International Journal of Performance Analysis in Sport, 2015, 15 (3): 884–896.

Richardson P A, Adler W, Hankes D.Game, Set, Match: Psychological Momentum in Tennis [J]. Sport Psychologist, 1988, 2 (1): 69-76.

M. H D, Cornel N. Momentum in tennis: Controlling the match [J]. INTERNATIONAL JOURNAL OF SPORT PSYCHOLOGY, 2017, 48 (4): 459-471.

Xie Roshi, Wang Sanbao. Training interpretation of winning factors in competitive tennis [J]. Journal of Guangzhou Sports Institute, 2021, 41 (06): 94-99.




How to Cite

Liang, Z., Shen, X., & He, Y. (2024). An Integrated Assessment Model of Momentum and Performance in Tennis Based on PCA And TOPSIS. Highlights in Science, Engineering and Technology, 105, 230-235.