一种新的模糊社交网络中心性分析方法
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摘要
基于可信性理论,讨论模糊社交网络的中心性分析方法,提出模糊结点中心度和模糊紧密中心度的概念,并给出2个数值算例进行了有效性和合理性验证.
Based on credibility theory,this paper discusses the fuzzy social network centrality analysis method. It puts forward the concepts of fuzzy node centrality and fuzzy closeness centrality,and gives two numerical examples to verify the validity and rationality of the proposed method.
Based on credibility theory,this paper discusses the fuzzy social network centrality analysis method. It puts forward the concepts of fuzzy node centrality and fuzzy closeness centrality,and gives two numerical examples to verify the validity and rationality of the proposed method.
引文
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[13]岳振军,丁咏,荣传振.一类模糊关系社会网络的中心性分析[J].模糊系统与数学,2016,30(2):170-176.
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[15]LU Z,ZHANG Q,DU X,et al. A fuzzy social network centrality analysis model for interpersonal spatial relations[J]. Knowledge-Based Systems,2016,105(c):206-213.
[16]WU T,LIU X,LIU F. An interval type-2 fuzzy TOPSIS model for large scale group decision making problems with social network information[J]. Information Sciences,2018,432:392-410.
[17]LIU B,LIU Y K. Expeeted value of fuzzy variable and fuzzy expected value models[J]. IEEE Transactions on Fuzzzy Systems,2002,10(4):445-450.
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[19]汪皓.基于EMS和可信性理论的输电网短期规划决策系统[D].北京:清华大学,2007.
[20]王雪青,郭清娥,曹杨.基于可信性理论的工程投标模糊风险评估[J].模糊系统与数学,2011,25(5):150-157.
[21]YANG G,LIU Y K. Optimizing an equilibrium supply chain network design problem by an improved hybrid biogeography based optimization algorithm[J]. Applied Soft Computing,2017,58:657-668.
[22]高晓沨.模糊环境下可靠性网络的拓扑优化模型[D].北京:清华大学,2006.
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[26]刘彦奎,陈艳菊,刘颖,等.模糊优化方法与应用[M].北京:科学出版社,2013.
[27]TANG L,LIU H. Community Detection and Mining in Social Media[M]. California:Morgan&Claypool Publishers,2012.
[2]FREEMAN L C. Centrality in social networks:conceptual clarification[J]. Social Networks,1979,1(3):215-239.
[3]HAJIAN B,WHITE T. Modelling influence in a social network:metrics and evaluation[C]//2011 IEEE Third International Conference on Privacy,Security,Risk and Trust and 2011 IEEE Third International Conference on Social Computing. Boston:IEEE,2011,1:497-500.
[4]JIN X,WANG Y. Research on social network structure and public opinions dissemination of micro-blog based on complex network analysis[J]. J Networks,2013,8(7):1543-1550.
[5]GIRVAN M,NEWMAN M E J. Community structure in social and biological networks[J]. Proceedings of the National Academy of Sciences,2002,99(12):7821-7826.
[6]BADIE R,ALEAHMAD A,ASADPOUR M,et al. An efficient agent-based algorithm for overlapping community detection using nodes’closeness[J]. Physica A:Statistical Mechanics and Its Applications,2013,392(20):5231-5247.
[7]ZADEH L A. Fuzzy sets[J]. Information Control,1965,8(3):338-353.
[8]TAHERI J,ZOMAYA A Y,IFTIKHAR M. Fuzzy online location management in mobile computing environments[J]. J Parallel and Distributed Computing,2011,71(8):1142-1153.
[9]ZHANG W G,LIU Y J,XU W J. A new fuzzy programming approach for multi-period portfolio optimization with return demand and risk control[J]. Fuzzy Sets and Systems,2014,246(4):107-126.
[10]HE L,ZHANG X. Fuzzy reliability analysis using cellular automata for network systems[J]. Information Sciences,2016,348:322-336.
[11]GARCIA-ARROYO J L,GARCIA-ZAPIRAIN B. Recognition of pigment network pattern in dermoscopy images based on fuzzy classification of pixels[J]. Computer Methods and Programs in Biomedicine,2018,153(1):61-69.
[12]廖丽平,胡仁杰,张光宇.模糊社会网络的中心度分析方法[J].模糊系统与数学,2013,27(3):169-176.
[13]岳振军,丁咏,荣传振.一类模糊关系社会网络的中心性分析[J].模糊系统与数学,2016,30(2):170-176.
[14]HU R J,LI Q,ZHANG G Y,et al. Centrality measures in directed fuzzy social networks[J]. Fuzzy Information and Engineering,2015,7(1):115-128.
[15]LU Z,ZHANG Q,DU X,et al. A fuzzy social network centrality analysis model for interpersonal spatial relations[J]. Knowledge-Based Systems,2016,105(c):206-213.
[16]WU T,LIU X,LIU F. An interval type-2 fuzzy TOPSIS model for large scale group decision making problems with social network information[J]. Information Sciences,2018,432:392-410.
[17]LIU B,LIU Y K. Expeeted value of fuzzy variable and fuzzy expected value models[J]. IEEE Transactions on Fuzzzy Systems,2002,10(4):445-450.
[18]ZHENG Y,LIU B. Fuzzy vehicle routing model with credibility measure and its hybrid intelligent algorithm[J]. Appl Math Comput,2006,176(2):673-683.
[19]汪皓.基于EMS和可信性理论的输电网短期规划决策系统[D].北京:清华大学,2007.
[20]王雪青,郭清娥,曹杨.基于可信性理论的工程投标模糊风险评估[J].模糊系统与数学,2011,25(5):150-157.
[21]YANG G,LIU Y K. Optimizing an equilibrium supply chain network design problem by an improved hybrid biogeography based optimization algorithm[J]. Applied Soft Computing,2017,58:657-668.
[22]高晓沨.模糊环境下可靠性网络的拓扑优化模型[D].北京:清华大学,2006.
[23]ZADEH L A. Fuzzy sets as a basis for a theory of possibility[J]. Fuzzy Sets and Systems,1978,1(1):3-28.
[24]罗承忠.模糊集引论[M].北京:北京师范大学出版社,1986.
[25]WANG P. Fuzzy contactability and fuzzy variables[J]. Fuzzy Sets and Systems,1982,8:81-92.
[26]刘彦奎,陈艳菊,刘颖,等.模糊优化方法与应用[M].北京:科学出版社,2013.
[27]TANG L,LIU H. Community Detection and Mining in Social Media[M]. California:Morgan&Claypool Publishers,2012.