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.