The Development of Completed Grey Relational Grade Toolbox via Matlab

2006 IEEE Conference on Cybernetics and Intelligent Systems Pub Date : 2006-06-07 DOI:10.1109/ICCIS.2006.252264

Chien-Wen Wang, Cheng-Kai Yeh, Kun-Li Wen, Wu-Shun Jwo

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引用次数: 8

Abstract

The software in engineering field, even in others filed become most important and more necessary in the 21 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 development of ordinal grey relational grade and cardinal grey relational grade by using Matlab to development the completed grey relational grade toolbox. Firstly, we preview the whole mathematical foundation of grey relational grade in detail. Secondly, the mathematics model of 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 grade toolbox. As the results, in this paper, ten kinds of grey relational grade methods, and two types of grey relational grades (ordinal and cardinal) are developed, we can say this kind of completed research is the main contribution and is the first research in grey relational grade. Also can extends in the economy in benefit, for our research, the market price of the whole grey relational grade toolbox with our evaluation; at least will over US 500 dollars. To sum up, we hope this completed grey relational grade 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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用Matlab开发完整的灰色关联等级工具箱

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，如模糊的，混沌的，…等，在过去已经开发出来，灰色工具箱仍然很少和不完全完成。因此，本文的重点是利用Matlab开发完成的灰色关联等级工具箱，对有序灰色关联等级和基数灰色关联等级进行工具箱开发。首先，我们详细地预览了灰色关联度的整个数学基础。其次，给出了十种灰色关联度的数学模型，以及两种灰色关联度(序数和基数)。第三，在建立数学模型的基础上，利用Matlab开发了灰色关联度工具箱。因此，本文开发了十种灰色关联等级方法，并开发了两种类型的灰色关联等级(序数和基数)，可以说这类完成的研究是主要贡献，是灰色关联等级的第一次研究。还可以在经济上延伸在效益上，为我们的研究、整个灰色关联度工具箱的市场价格与我们的评价;至少会超过500美元。综上所述，我们希望这个完成的灰色关联度工具箱不仅能提高灰色关联度研究的深度，也能为灰色系统理论的应用开辟一条新的途径

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2006 IEEE Conference on Cybernetics and Intelligent Systems

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