Hybrid Grey Interval Relation Decision-Making in Artistic Talent Evaluation of Player

The multiple attribute decision-making (MADM) probl ems are of the most interesting problems for many decision-making experts. This problem aris es in various fields of the real life, and constitutes very important content in scientific research such as management science, decision-making theory, system theory, operational research and economics. Now, many effective methods to determine the att ributive weights have been studied for MADM. Those are the subjective weight determining methods such as the feature vector method ( Saaty T.L. 1977), the least square sum method (Chu A Tw, Kala ba R E, Spingarn K, 1979), Delphi and AHP method (Hwang C.L., Lin M, 1987), and the objective weight determining methods such as the entropy method (Hwang C.L., Yoon K, 1981), the principal component analysis (Yan Jian-huo, 1989) and DEA (Data Envelopment Analysis) (Ye Chen, Kevin W. Li, Haiyan Xu and Sifeng Liu, 2009). The final ranking method affects greatly on the dec ision-making process. Hwang and Yoon (1981) proposed a new approach, TOPSIS (Technique for Orde r Preference by Similarity to Ideal Solution) for solving MADM problem. Recently, TOPSIS methods with interval weights (Gao Feng-ji, et al, 2005) and multiple attribute interval number TOPSIS (Chu A Tw, Kalaba R E, Spingarn K, 1979) have been studied. Guo Kai-hong and Mu You-jing (2012) studied the relation between several possibility degree formulas and proposed a possibil ity degree matrices-based method that aimed to objectively determine the weights of criteria in MA DM with intervals. A hybrid approach integrating OWA (Ordered Weighted Averaging) aggreg ation into TOPSIS is proposed to tackle * This work was supported in part by Nanjing Univer sity of Aeronautics and Astronautics, China. 2