The Development of Completed Grey Relational Analysis Toolbox via Matlab

Mei-Li You ； Chien-Wen Wang ； Cheng-Kai Yeh

《Journal of Grey System》 9卷1期 (2006/06) Pp. 57-64

https://doi.org/10.30016/JGS.200606.0008

並列摘要

The software in engineering field, even in others filed become most important and more necessary in the 21(superscript st) century, although there are many toolbox, such as fuzzy, chaos,…etc., had been developed in the past, the grey toolbox still seldom and not quite completed. Therefore, in this paper, the focus is on the toolbox of grey generating, ordinal grey relational grade and cardinal grey relational grade by using Matlab, to development the completed grey relational analysis toolbox. Firstly, we preview the whole mathematical foundation of grey relational analysis in detail. Secondly, the mathematics model of grey generating (four difference types), ten kinds of grey relational grade, and two types of grey relational grades (ordinal and cardinal) are presented. Thirdly, based on the mathematics model, we use Matlab to develop the grey relational analysis toolbox. As the results, in this paper, the completed grey relational analysis toolbox, we can say this kind of completed research is the main contribution and is the first research in grey relational analysis. Also can extends in the economy in benefit, for our research, the market price of the completed grey relational analysis toolbox with our evaluation; at least will over US 1,000 dollars. We hope this completed grey relational analysis toolbox is not only to enhance the depth research of grey relation grade, buy also become a new approach for the applications in grey system theory.

並列關鍵字

Grey relational analysis ； toolbox ； Grey system ； Matlab