On the Generalization of Grey Relational Analysis

In this paper we developed new grey relational analysis by expanding a range of treatable value. The classical GRA procedure deals with almost whitened values, reference vectors (or sequences), inspected vectors and grey relational grades. The classical GRA is called White-In-White-Out (WIWO) GRA in this paper. We developed two kinds of GRA algorithm based on the topological-based GRA, after defined several new operations of the interval grey number. On the one hand, GRA which provides the grey relational grade a whitened value finally is named Grey-In-White-Out (GIWO) GRA. On the other hand, GRA which provides the grey relational grade the interval grey number is named Grey-In-Grey-Out (GIGO) GRA. Both new GRA procedures deal with the reference vector and inspected vectors as the interval grey number. Three examples are given in this paper; the properties of the grey relational grade given by the proposals are discussed.

並列關鍵字

Grey relational analysis ； Grey number ； Interval algebra ； Interval arithmetic operations

被引用紀錄

陳韋安（2008）。應用電泳沉積技術於染料敏化太陽能電池與天然染料特性分析之研究〔碩士論文，國立臺北科技大學〕。華藝線上圖書館。https://doi.org/10.6841/NTUT.2008.00070

Wu, J. O. (2007). 低延遲、傾斜與串音時脈樹合成策略之研究 [doctoral dissertation, National Taipei University of Technology]. Airiti Library. https://doi.org/10.6841/NTUT.2007.00169

吳筱恬（2017）。半導體測試業於設備供應商之多準則評選〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu201700233

Jiang, P. (2017). 供應鏈管理之灰色多準則決策 [doctoral dissertation, Chung Yuan Christian University]. Airiti Library. https://doi.org/10.6840/cycu201700149

曹淑茹（2016）。台灣汽車業於綠色零組件供應商之多準則評選〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu201600218

延伸閱讀

MATTHEWS, R., & LIDL, R. (1988). ON GENERALIZED REDEI FUNCTIONS. International Journal of Mathematics and Mathematical Sciences, 1988(), 625-634. https://doi.org/10.1155/S0161171288000766
Dubeau, F. (1991). ON A GENERALIZATION OF u-MEANS. International Journal of Mathematics and Mathematical Sciences, 1991(), 803-807. https://doi.org/10.1155/S0161171291001072
Ho, I. L., Shih, S. C., Tsai, C. P., & Nagai, M. (2015). Combining Grey Relational Analysis and Information Entropy for Government Decision Making. International Journal of Kansei Information, 6(3), 53-62. https://www.airitilibrary.com/Article/Detail?DocID=2118399x-201509-201512160019-201512160019-53-62
Wu, J. C., Chen, W. H., Lin, W. H., & Wu, J. H. (2007). The Study on the Alternative View in the Grey Correlational Analysis. Journal of Grey System, 10(3), 193-205. https://doi.org/10.30016/JGS.200712.0008
Hsia, K. H., Chen, M. Y., & Chang, M. C. (2004). Comments on Data Pre-processing for Grey Relational Analysis. Journal of Grey System, 7(1), 15-20. https://doi.org/10.30016/JGS.200406.0003

國際替代計量

On the Generalization of Grey Relational Analysis

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