Extension Definition of Affine Properties for Studying Degrees of Grey Incidences

摘要：

An extension definition of affine properties of grey relational analysis models is presented in this paper, and referenced sequence to simplify the proof is discussed in details.With the proposed definition, if the original sequence and transformed sequence have the same degree of grey correlation to the referenced sequence, the conclusion can be drawn that the proposed model satisfies the invariance according the designed transformation.Finally, several commonly used models are discussed, and verified the simplification and validity of the new method.

关键词： Grey system theory Grey relational analysis Properties of grey relational analysis models

作者: MENG Wei LIU Sifeng ZENG Bo

作者单位: College of Economics and Management Nanjing University of Aeronautics and Astronautics Nanjing,21001 College of Economics and Management Nanjing University of Aeronautics and Astronautics Nanjing,21001

会议类型: 国际会议

会议名称: 2011 IEEE International Conference on Grey System and Intelligent Services Joint with the 15th WOSC International Congress on Cybernetics and System(2011 IEEE灰色系统与智能服务国际会议暨系统与控制世界组织第15届年会)

会议地点: 南京

会议语种:英文

页码: 84-87

在线出版日期: 2011-09-15（万方平台首次上网日期，不代表论文的发表时间）