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Articles

Grey Clusters Method with Fixed Weights Based on the Interval Grey Number

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  • 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211100, China;
    2. College of Ecnomics and Management, Huai Yin Institure of Technology, Huaian 223001, China

Received date: 2013-04-01

  Revised date: 2015-03-04

  Online published: 2015-10-24

Abstract

As the society and economy developing, more and more problems need to use interval grey number. Aiming at the situation that the turn point of the whitenization function must be real number, the method of building and calculating the function when the turn point is an interval grey number was discussed in this paper. Firstly, this paper constructed weight function with interval gray number was constructed through defining the standardized methods of the interval grey number. Then use the standardized interval grey number replace the real number of the whitenization function. And the expression of the whitenization function with interval grey number was given. Secondly, discuss the two circumstances that there was only one interval grey number in the piecewise curve of the whitening function or two endpoints were both interval grey numbers. And when the four turn points were all interval grey numbers, the expression of whitenization function fjk(⊗) was given. At last, the interval grey clusters model was used to evaluate the core competencies of eight private enterprises in Xuchang. Our group had investigated the eight enterprises to get the data. And twenty experts had been asked to build the whitenization function. The result indicated the model is effective and reasonable.

Cite this article

WANG Jun-jie, DANG Yao-guo, LI Xue-mei, CUI Jie . Grey Clusters Method with Fixed Weights Based on the Interval Grey Number[J]. Chinese Journal of Management Science, 2015 , 23(10) : 139 -146 . DOI: 10.16381/j.cnki.issn1003-207x.2015.10.016

References

[1] Deng Julong. Control problems of unknown system[J]. Proceedings of the Bilateral Meeting on Control systems,1981, 156-171.

[2] 刘思峰,谢乃明. 基于改进三角白化权函数的灰评估新方法[J].系统工程学报,2011,26(2):244-250.

[3] 刘勇,菅利荣,刘思峰. 杂合灰色聚类与变精度粗糙模糊集的概率决策方法[J].系统工程,2012,30(5):89-95.

[4] Li Xican. Zhang Guangbo, Qi Fengyan,et al. Grey cluster estimating model of soil organic matter content based on hyper-spectral data[J]. Journal of Grey System, 2014, 26(2):28-37.

[5] 张岐山. 灰聚类分析结果灰性的测度[J].中国管理科学,2002, 10(1):54-56.

[6] Zhang Qishan, Wang Haiyan. Measuring the greyness of grey cluster knowledge[J]. Journal of Grey System, 2009, 21(3):259-268.

[7] Yuan Chaoqing, Liu Sifeng. Core of grey cluster and its application in evaluation of scientific and technological strength[J]. Journal of Grey System, 2012,24(4):327-336.

[8] 党耀国,刘思峰. 聚类系数无显著性差异下的灰色综合聚类方法研究[J].中国管理科学,2005,13(4):69-73.

[9] 米传民,刘思峰,党耀国,等. 灰色熵权聚类决策方法研究[J].系统工程与电子技术, 2006,28(12):1823-1825.

[10] 王正新,党耀国,刘思峰. 基于白化权函数分类区分度的变权灰色聚类[J].统计与信息论坛,2011,26(6):23-27.

[11] 董一哲,党耀国. 基于离差最大化的灰色聚类方法[J].系统工程理论与实践, 2009. 29(9):141-146.

[12] 宋捷,党耀国,花增木. 基于灰色聚类的群决策方法研究[J].控制与决策, 2010, 25(10):1593-1597.

[13] Ghazanfar M A, Prugel-Bennett A. Leveraging clustering approaches to solve the gray-sheep users problem in recommender systems[J]. Expert Systems with Applications, 2014, 41(7):3261-3275.

[14] Wang Jianling, Wu Junyan. The empirical study of airline service dimension based on grey incidence cluster[J]. Journal of Grey System, 2014, 26(2):154-161.

[15] Xie Naiming, Xin Jianghui,Liu Sifeng. China's regional meteorological disaster loss analysis and evaluation based on grey cluster model[J]. Natural Hazards,2014, 71(2):1067-1089.

[16] Wang Shuwei,Sun Lishan, Rong Jian,et al. Transit station congestion index research based on pedestrian simulation and gray clustering evaluation[J]. Discrete Dynamics in Nature and Society, 2013, ID 891048, 1-8.

[17] 张志勇, 吴声. 基于白化权函数的区间灰数关联度模型[J].中国管理科学, 2015,23(1):154-162.

[18] 周伟杰, 党耀国, 熊萍萍, 等. 区间灰数的灰色变权与定权聚类模型[J]. 系统工程理论与实践, 2013,33(10):2590-2595.

[19] 郭海英,庞彦军. 确认度意义下区间灰数的一种序关系[J]. 河北建筑科技学院学报, 2003,20(1):85-86.
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