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Evaluation Of The Contribution Of Starting Pitchers In A Professional Baseball Team By Grey Relational Analysis

Authors: Chih-Cheng Chen; Yung-Tan Lee; Shih-Yang Lee; Shih-Kuei Huang; Tien-Tze Chen; Qiu-Jun Chen;

Evaluation Of The Contribution Of Starting Pitchers In A Professional Baseball Team By Grey Relational Analysis

Abstract

{"references": ["C.C. Chen, M.L. Lin, Y.T. Lee, T.T. Chen, and C.Y. Tseng, \"Best\nStarting Pitcher of the Chinese Professional Baseball League in 2009\",\nWorld Academy of Science, Engineering and Technology, vol. 72, pp.\n210-212, 2010.", "C.C. Chen, and T.T. Chen, \"Starting Pitchers' Pitch Skills Positioning of\nCPBL in 2008-Multidimentional Scaling Analysis\", Journal of Physical\nEducation Fu Jen Catholic University, vol. 8, pp. 109-125, 2009.", "M. Lewis, Moneyball: The Art of Winning an Unfair Game. New York:\nNorton, 2003", "R.L. Sparks, and D.L. Abrahamson, \"A Mathematical Model to Predict\nAward Winners\", Math Horizons, vol. April, pp. 5-13, 2005.", "C.C. Chen, M.L. Lin, Y.T. Lee, and T.T. Chen, \"Starting Pitcher Rotation\nin the Chinese Professional Baseball League based on AHP and\nTOPSIS\", World Academy of Science, Engineering and Technology, vol.\n58, pp. 74-79, 2011.", "Y. Kuo, T. Yang, and G.W. Huang, \"The use of grey relational analysis in\nsolving multiple attribute decision-making problems\", Computers &\nIndustrial Engineering, vol. 55, pp. 80-93, 2008.", "J. Deng, \"Control problems of grey systems \", Systems and Control\nLetters, vol. 1 pp. 288-294, 1982", "D.L. Olson, and D. Wu, \"Simulation of fuzzy multiattribute models for\ngrey relationships\", European Journal of Operational Research, vol. 175,\npp. 111-120, 2006.", "W.H. Chen, \"Distribution system restoration using the hybrid fuzzy-grey\nmethod\", IEEE Transactions on Power Systems, vol. 20, pp. 199-205,\n2005.\n[10] H.H. Wu, \"A comparative study of using grey relational analysis in\nmultiple attribute decision making problems\", Quality Engineering, vol.\n15, pp. 209-217, 2002.\n[11] H. Gu, and B. Song, \"Study on effectiveness evaluation of weapon\nsystems based on grey relational analysis and TOPSIS\", Journal of\nSystems Engineering and Electronics, vol. 20, pp. 106-111, 2009.\n[12] Y. Kuo, T. Yang, and G.W. Huang, \"The use of grey relational analysis in\nsolving multiple attribute decision-making problems\", Computers &\nIndustrial Engineering, vol. 55 pp. 80-93, 2008.\n[13] J.T. Huang, and Y.S. Liao, \"Optimization of machining parameters of\nWire-EDM bases on grey relation and statistical analysis\", International\nJournal of Production Research, vol. 41 pp. 1707-1720, 2003.\n[14] G. Wei, \"Grey relational analysis model for dynamic hybrid multiple\nattribute decision making\", Knowledge-Based Systems, vol. 24, pp.\n672-679, 2011.\n[15] J. Zhang, D. Wu, and D.L. Olson, \"The Method of Grey Related Analysis\nto Multiple Attribute Decision Making Problems with Interval Numbers\",\nMathematical and Computer Modelling, vol. 42, pp. 991-998, 2005.\n[16] L. Bodin, and E. Epstein, \"Who's on \"rst}with probability 0.4\",\nComputers & Operations Research, vol. 27, pp. 205-215, 2000.\n[17] H.O. Stekler, D. Sendor, and R. Verlander, \"Issues in sports forecasting\",\nInternational Journal of Forecasting, vol. 26, pp. 606-621, 2010."]}

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

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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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