Evaluation of the Contribution of Starting Pitchers in a Professional Baseball Team by Grey Relational Analysis
The evaluation of the contribution of professional
baseball starting pitchers is a complex decision-making problem that
includes several quantitative attributes. It is considered a type of
multi-attribute or multi-criteria decision making (MADM/MCDM)
problem. This study proposes a model using the Grey Relational
Analysis (GRA) to evaluate the starting pitcher contribution for teams
of the Chinese Professional Baseball League. The GRA calculates the
individual grey relational degree of each alternative to the positive
ideal alternative. An empirical analysis was conducted to show the use
of the model for the starting pitcher contribution problem. The results
demonstrate the effectiveness and feasibility of the proposed model.
[1] C.C. Chen, M.L. Lin, Y.T. Lee, T.T. Chen, and C.Y. Tseng, "Best
Starting Pitcher of the Chinese Professional Baseball League in 2009",
World Academy of Science, Engineering and Technology, vol. 72, pp.
210-212, 2010.
[2] C.C. Chen, and T.T. Chen, "Starting Pitchers' Pitch Skills Positioning of
CPBL in 2008-Multidimentional Scaling Analysis", Journal of Physical
Education Fu Jen Catholic University, vol. 8, pp. 109-125, 2009.
[3] M. Lewis, Moneyball: The Art of Winning an Unfair Game. New York:
Norton, 2003
[4] R.L. Sparks, and D.L. Abrahamson, "A Mathematical Model to Predict
Award Winners", Math Horizons, vol. April, pp. 5-13, 2005.
[5] C.C. Chen, M.L. Lin, Y.T. Lee, and T.T. Chen, "Starting Pitcher Rotation
in the Chinese Professional Baseball League based on AHP and
TOPSIS", World Academy of Science, Engineering and Technology, vol.
58, pp. 74-79, 2011.
[6] Y. Kuo, T. Yang, and G.W. Huang, "The use of grey relational analysis in
solving multiple attribute decision-making problems", Computers &
Industrial Engineering, vol. 55, pp. 80-93, 2008.
[7] J. Deng, "Control problems of grey systems ", Systems and Control
Letters, vol. 1 pp. 288-294, 1982
[8] D.L. Olson, and D. Wu, "Simulation of fuzzy multiattribute models for
grey relationships", European Journal of Operational Research, vol. 175,
pp. 111-120, 2006.
[9] W.H. Chen, "Distribution system restoration using the hybrid fuzzy-grey
method", IEEE Transactions on Power Systems, vol. 20, pp. 199-205,
2005.
[10] H.H. Wu, "A comparative study of using grey relational analysis in
multiple attribute decision making problems", Quality Engineering, vol.
15, pp. 209-217, 2002.
[11] H. Gu, and B. Song, "Study on effectiveness evaluation of weapon
systems based on grey relational analysis and TOPSIS", Journal of
Systems Engineering and Electronics, vol. 20, pp. 106-111, 2009.
[12] Y. Kuo, T. Yang, and G.W. Huang, "The use of grey relational analysis in
solving multiple attribute decision-making problems", Computers &
Industrial Engineering, vol. 55 pp. 80-93, 2008.
[13] J.T. Huang, and Y.S. Liao, "Optimization of machining parameters of
Wire-EDM bases on grey relation and statistical analysis", International
Journal of Production Research, vol. 41 pp. 1707-1720, 2003.
[14] G. Wei, "Grey relational analysis model for dynamic hybrid multiple
attribute decision making", Knowledge-Based Systems, vol. 24, pp.
672-679, 2011.
[15] J. Zhang, D. Wu, and D.L. Olson, "The Method of Grey Related Analysis
to Multiple Attribute Decision Making Problems with Interval Numbers",
Mathematical and Computer Modelling, vol. 42, pp. 991-998, 2005.
[16] L. Bodin, and E. Epstein, "Who's on "rst}with probability 0.4",
Computers & Operations Research, vol. 27, pp. 205-215, 2000.
[17] H.O. Stekler, D. Sendor, and R. Verlander, "Issues in sports forecasting",
International Journal of Forecasting, vol. 26, pp. 606-621, 2010.
[1] C.C. Chen, M.L. Lin, Y.T. Lee, T.T. Chen, and C.Y. Tseng, "Best
Starting Pitcher of the Chinese Professional Baseball League in 2009",
World Academy of Science, Engineering and Technology, vol. 72, pp.
210-212, 2010.
[2] C.C. Chen, and T.T. Chen, "Starting Pitchers' Pitch Skills Positioning of
CPBL in 2008-Multidimentional Scaling Analysis", Journal of Physical
Education Fu Jen Catholic University, vol. 8, pp. 109-125, 2009.
[3] M. Lewis, Moneyball: The Art of Winning an Unfair Game. New York:
Norton, 2003
[4] R.L. Sparks, and D.L. Abrahamson, "A Mathematical Model to Predict
Award Winners", Math Horizons, vol. April, pp. 5-13, 2005.
[5] C.C. Chen, M.L. Lin, Y.T. Lee, and T.T. Chen, "Starting Pitcher Rotation
in the Chinese Professional Baseball League based on AHP and
TOPSIS", World Academy of Science, Engineering and Technology, vol.
58, pp. 74-79, 2011.
[6] Y. Kuo, T. Yang, and G.W. Huang, "The use of grey relational analysis in
solving multiple attribute decision-making problems", Computers &
Industrial Engineering, vol. 55, pp. 80-93, 2008.
[7] J. Deng, "Control problems of grey systems ", Systems and Control
Letters, vol. 1 pp. 288-294, 1982
[8] D.L. Olson, and D. Wu, "Simulation of fuzzy multiattribute models for
grey relationships", European Journal of Operational Research, vol. 175,
pp. 111-120, 2006.
[9] W.H. Chen, "Distribution system restoration using the hybrid fuzzy-grey
method", IEEE Transactions on Power Systems, vol. 20, pp. 199-205,
2005.
[10] H.H. Wu, "A comparative study of using grey relational analysis in
multiple attribute decision making problems", Quality Engineering, vol.
15, pp. 209-217, 2002.
[11] H. Gu, and B. Song, "Study on effectiveness evaluation of weapon
systems based on grey relational analysis and TOPSIS", Journal of
Systems Engineering and Electronics, vol. 20, pp. 106-111, 2009.
[12] Y. Kuo, T. Yang, and G.W. Huang, "The use of grey relational analysis in
solving multiple attribute decision-making problems", Computers &
Industrial Engineering, vol. 55 pp. 80-93, 2008.
[13] J.T. Huang, and Y.S. Liao, "Optimization of machining parameters of
Wire-EDM bases on grey relation and statistical analysis", International
Journal of Production Research, vol. 41 pp. 1707-1720, 2003.
[14] G. Wei, "Grey relational analysis model for dynamic hybrid multiple
attribute decision making", Knowledge-Based Systems, vol. 24, pp.
672-679, 2011.
[15] J. Zhang, D. Wu, and D.L. Olson, "The Method of Grey Related Analysis
to Multiple Attribute Decision Making Problems with Interval Numbers",
Mathematical and Computer Modelling, vol. 42, pp. 991-998, 2005.
[16] L. Bodin, and E. Epstein, "Who's on "rst}with probability 0.4",
Computers & Operations Research, vol. 27, pp. 205-215, 2000.
[17] H.O. Stekler, D. Sendor, and R. Verlander, "Issues in sports forecasting",
International Journal of Forecasting, vol. 26, pp. 606-621, 2010.
@article{"International Journal of Business, Human and Social Sciences:60984", author = "Chih-Cheng Chen and Yung-Tan Lee and Shih-Yang Lee and Shih-Kuei Huang and Tien-Tze Chen and Qiu-Jun Chen", title = "Evaluation of the Contribution of Starting Pitchers in a Professional Baseball Team by Grey Relational Analysis", abstract = "The evaluation of the contribution of professional
baseball starting pitchers is a complex decision-making problem that
includes several quantitative attributes. It is considered a type of
multi-attribute or multi-criteria decision making (MADM/MCDM)
problem. This study proposes a model using the Grey Relational
Analysis (GRA) to evaluate the starting pitcher contribution for teams
of the Chinese Professional Baseball League. The GRA calculates the
individual grey relational degree of each alternative to the positive
ideal alternative. An empirical analysis was conducted to show the use
of the model for the starting pitcher contribution problem. The results
demonstrate the effectiveness and feasibility of the proposed model.", keywords = "Starting pitchers, Grey Relational Analysis, Chinese
Professional Baseball", volume = "6", number = "2", pages = "252-4", }
