The Development of Grey Generating Toolbox Based on Matlab

Abstract

For any system in the real world, it is known that the original data is always random. Therefore, before it can be operational, the data must be retreated; otherwise, there may be errors in the results. In grey system theory, it contains a large amount of data and complex mathematical operation; the application software design of grey system theory in the past was written individually. Though this way could solve the problem for the moment, it is not very sufficient for the generating in using the scope of the aspect. In this paper, we develop the whole grey generating model toolbox in grey system theory, to cooperate with the study and application of in real system. Based on the above-mentioned reasons, we present four grey generating methods. By adopting Matlab, we create the idea of computer toolbox for grey system theory. As the results, in this paper, four kinds of grey generating methods are developed, we can say this completed research could be one of the main contributions and is the first research in grey generating. For our research, we get several important results: This completed grey generating toolbox to enhance the depth research of grey system; In addition to reduce time of analyzing and promote the analyzing level; Guide the grey system theory to the internationalization and reach the research of academy to promote the teaching.

Weighting analysis by using grey method

“…So, we use the mathematics method as our approach here. The second reason for our research is that in other soft computing fields, such as Fuzzy, GA and Rough Sets, all have it's own toolbox [21], but in the past, all of then focused on the theory analyzing;the computer-aided calculation seems to be apparent. Besides, software plays an important role in our analysis Downloaded by [Texas A & M International University] at 23:41 25 August 2015 system, because it not only cause significant effects on the operation of analysis system, but also make the result on analysis system more convincing and more practical.…”

Analysis of the Influence of Quantile Regression Model on Mainland Tourists’ Service Satisfaction Performance

“…This paper used the grey relational grade analysis proposed by Deng and the grey relational analysis MATLAB procedure developed by Wen et al [ 12 ] to calculate the grey relational grade and then analyze the satisfaction performance of the nine question items. Higher service satisfaction values of the nine question items are better.…”

Evaluating image quality using consistent grey relational grade

“…In applications, each original sequence could be retrieved from a certain database, and the field of each record should be a certain numeric attribute, or, at least, the attribute is able to be converted to a numeric form. For further reference, some notations used in this paper are shown as follows: O 2 ðkÞ ¼ OðkÞ 2 x ð0Þ min ðkÞ: There were four methods of GRGt in the literature (Wen, 2004): effective method, Hsia's method, Chang's method, and Lin's method. According to the notations and definitions described in the previous paragraph, each has three corresponding transformations: larger-the-better, smaller-the-better, and nominal-the-better.…”

“…According to the notations and definitions described in the previous paragraph, each has three corresponding transformations: larger-the-better, smaller-the-better, and nominal-the-better. For comparison and simplification, only Hsia's method (Wen, 2004) is provided.…”

“…Grey relational generating (GRGt) can be used to transform the original sequences into a set of comparable ones. There are several approaches (Wen et al, 2006) proposed for the GRGt procedure; however, existing methods produce new sequences according to the relative values between the original sequences.…”