Open AccessGrey convex relational degree and its application to evaluate regional economic sustainability
Author(s) -
Lifeng Wu,
Sifeng Liu,
Ligen Yao,
Shuli Yan
Publication year - 2012
Publication title -
scientia iranica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.299
H-Index - 51
eISSN - 2345-3605
pISSN - 1026-3098
DOI - 10.1016/j.scient.2012.11.002
Subject(s) - grey relational analysis , degree (music) , sustainability , regular polygon , mathematics , business , computer science , statistics , biology , geometry , physics , ecology , acoustics
Grey relational degree analysis has been successfully adopted in various fields, but the existing grey relational analysis methods cannot deal with the three-dimensional panel data. In this paper, based on the grey convex relational degree for two-dimensional data and an approximation of the Hessian matrix for a discrete sequence, we propose a novel Grey convex Relational degree for the three-dimensional Panel Data (GRPD), which uses the similar characteristic of convexity among relevant factors to measure relational degree. An example of evaluation sustainable development is given to illustrate that the GRPD can more fully reflect the correlation degree among relevant factors