The Development of Completed Grey Relational Analysis Toolbox via Matlab

IF 1 4区工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Grey System Pub Date : 2006-06-01 DOI:10.30016/JGS.200606.0008

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

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引用次数: 33

Abstract

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.

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基于Matlab的完整灰色关联分析工具箱的开发

软件在工程领域，甚至在其他领域，在21世纪变得更加重要和必要，尽管有许多工具箱，如模糊，混沌，等等。虽然在过去已经发展起来，但灰色工具箱仍然很少，而且还没有完全完成。因此，本文的重点是利用Matlab对灰色生成工具箱、有序灰色关联等级工具箱和基数灰色关联等级工具箱进行开发，完成灰色关联分析工具箱。首先，我们详细地预览了灰色关联分析的整个数学基础。其次，给出了灰色生成的数学模型(四种不同类型)、十种灰色关联等级和两种灰色关联等级(序数和基数)。第三，在建立数学模型的基础上，利用Matlab开发了灰色关联分析工具箱。结果表明，本文完成的灰色关联分析工具箱，可以说是这类研究的主要贡献和首次完成的灰色关联分析研究。还可以在经济上延伸在效益上，为我们的研究，完成了灰色关联分析工具箱的市场价格与我们的评价;至少会超过1000美元。我们希望这个完成的灰色关联分析工具箱不仅能提高灰色关联等级研究的深度，而且能为灰色系统理论的应用开辟一条新的途径。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Grey System 数学-数学跨学科应用

CiteScore

2.40

自引率

43.80%

发文量

审稿时长

1.5 months

期刊介绍： The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows: Grey mathematics- Generator of Grey Sequences- Grey Incidence Analysis Models- Grey Clustering Evaluation Models- Grey Prediction Models- Grey Decision Making Models- Grey Programming Models- Grey Input and Output Models- Grey Control- Grey Game- Practical Applications.