On grey geometrical relational model and its properties

Author

Naiming Xie ; Sifeng Liu ; Jianghui Xin ; Yu, Bin

Author_Institution

Inst. for Grey Syst. Studies, Nanjing Univ. of Aeronaut. & Astronaut., Nanjing

fYear

2008

fDate

12-15 Oct. 2008

Firstpage

1647

Lastpage

1651

Abstract

Grey relational analysis is an important part of the grey systems theory, and it is the basis of the grey clustering analysis, grey decision-making and grey controlling. In this paper, we provided the definitions of parallel, uniform and order-keeping properties. We constructed a new grey relational model. By theoretical proving we knew that the model is not only satisfied to the normality, whole and symmetry properties of grey relational theorems but also satisfied to the parallel, uniform, parallel order-keeping, multiple order-keeping and affine order-keeping properties.

Keywords

decision making; geometry; grey systems; pattern clustering; relational algebra; affine order-keeping properties; grey clustering analysis; grey controlling; grey decision making; grey geometrical relational model; grey relational analysis; grey relational model; grey relational theorem; grey systems theory; multiple order keeping; parallel order keeping; parallel properties; uniform properties; Decision making; Educational institutions; Energy management; Engineering management; Extraterrestrial measurements; Power engineering and energy; Power generation economics; Solid modeling; Normality; Order-keeping property; Relational coefficient; Symmetry; Wholeness;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2008. SMC 2008. IEEE International Conference on

Conference_Location

Singapore

ISSN

1062-922X

Print_ISBN

978-1-4244-2383-5

Electronic_ISBN

1062-922X

Type

conf

DOI

10.1109/ICSMC.2008.4811524

Filename

4811524