Title :
Extension definition of affine properties for studying degrees of grey incidences
Author :
Meng Wei ; Liu Sifeng ; Zeng Bo
Author_Institution :
Coll. of Econ. & Manage., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
Abstract :
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.
Keywords :
affine transforms; correlation methods; grey systems; sequences; system theory; affine invariance; affine properties; grey correlation; grey incidence analysis; grey relational analysis model; grey system theory; referenced sequence; transformed sequence; Grey relational analysis; Grey system theory; Properties of grey relational analysis models;
Conference_Titel :
Grey Systems and Intelligent Services (GSIS), 2011 IEEE International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-61284-490-9
DOI :
10.1109/GSIS.2011.6044112
