针对传统社会网络分析模型存在的不足, 根据可拓学中的基元理论, 结合社会网络分析理念及方法, 研究一种新的复杂社会网络分析模型。利用多维物元表示复杂社会网络的整体特征、节点属性和网络分析测度, 丰富节点的现实涵义;利用多维关系元表示节点之间的关系, 充分体现网络中关系的多重性;利用多维事元表示网络结构及环境变化的细节信息, 构建了复杂社会网络的多维可拓基元分析模型。通过实例分析, 验证了该模型的实用性及优越性。
To solve the problem existing in traditional social network analysis models, we establish a new complex social network model of multidimensional basic-element by means of the extenics theory and using social network analysis concepts and methods. We present the expressions of the characteristics of complex social network and nodes using multidimensional matter-element, the relationships using relation-element, and the network dynamic evolution process using affair-element. We analyze the integration of the extrenics theory and social network analysis in detail, so as to give full play to their respective advantages and obtain a good combination. Using a simple instance, we verify the practicality and superiority of the model.
[1] Li S, Gao H, Liu W. Research on ports group internal co-competition based on social network analysis[C]//Proceedings of IEEE International Conference on Service Operations and Logistics, and Informatics. Piscataway: IEEE Press, 2013: 186-191.
[2] Luo J. Social network analysis[M]. 2nd ed. Beijing: Social Sciences Academic Press, 2010.
[3] Newman M. The structure and function of complex networks[J]. SIAM Review, 2003, 45(2): 167-256.
[4] 杨春燕, 蔡文. 可拓学[M]. 北京: 科学出版社, 2014. Yang Chunyan, Cai Wen. Extenics[M]. Beijing: Science Press, 2014.
[5] 刘巍. 物元神经网络. 从物元分析到可拓学[M]. 北京: 科学技术文献出 版社, 1995: 311-317. Liu Wei. The matter-element neural network from matter-element to extenics[M]. Beijing: Science and Technology Literature Press, 1995: 311-317.
[6] 刘巍, 张秀芳. 基于可拓信息的知识表示[J]. 系统工程理论与实践, 1998(1): 104-107. Liu Wei, Zhang Xiufang. Knowledge representation based on the extenics information[J]. System Engineering Theory and Practice, 1998(1): 104-107.
[7] He X, Liu W, Ye J. Extension information and its application to criminal investigation[C]//Proceedings of 98 International Conference on Management Science & Engineering. Harbin: Harbin Institute of Technology Press, 1998.
[8] Liu W, Ye J. Extension information[C]//Proceedings of 96 International Conference On Management Science & Engineering. Harbin: Harbin Institute of Technology Press, 1996.
[9] Matthew J, Yves Z. Economic analyses of social networks[M]. Northampton: Edward Elgar Publishing, 2013.
[10] 杨春燕, 李志明. 基于可拓学的社会网络结构研究[J]. 广东工业大学 学报, 2014, 31(1): 1-6. Yang Chunyan, Li Zhiming. Social network structure study based on the extenics[J]. Journal of Guangdong University of Technology, 2014, 31(1): 1-6.
[11] 汪小帆, 李翔. 复杂网络理论及其应用[M]. 北京: 清华大学出版社, 2006. Wang Xiaofan, Li Xiang. Complex network theory and its application[M]. Beijing: Tsinghua University Press, 2006.
[12] 杨春燕. 事元及其应用[J]. 系统工程理论与实践, 1998, 2(1): 80-86. Yang Chunyan. Affair element and its application[J]. System Engineering Theory and Practice, 1998, 2(1): 80-86.
[13] Wasserman S, Faust K. Social network analysis: Methods and applications[M]. New York: Cambridge University Press, 1994.
[14] 杨波. 复杂社会网络的结构测度与模型研究[D]. 上海: 上海交通大 学, 2007. Yang Bo. Research of the complex social network structure characterization and model[D]. Shanghai: Shanghai Jiaotong University, 2007.
