Generalized Orthopair Fuzzy Social Network Centrality Analysis And Its Applications

Social network centrality analysis is one of the analytical methods to measure the importance of actors in the network,and it has been widely used in management,sociology,psychology and other fields.However,traditional social network centrality analysis usually assumes that there is a dual deterministic relationship between actors in the network,and it is difficult to deal with the importance analysis of actors with complex and multi-dimensional uncertain relationships.In view of the unique advantages of generalized orthogonal fuzzy sets in describing complex and multi-dimensional uncertain relations,this paper introduces generalized orthopair fuzzy sets into the social network centrality analysis,studies generalized orthopair fuzzy social networks centrality analysis and enriches the theoretical research of the of social network centrality analysis.The main content of this article is as follows:First,generalized orthopair fuzzy social network centrality analysis based on undirected graph.Firstly,based on the generalized orthopair fuzzy set,the definition of the generalized orthopair fuzzy social network relationship is given,and the definition of the generalized orthopair fuzzy social network based on the undirected graph is given;secondly,the generalized orthopair relation based on the undirected graph is proposed,which contains definitions,calculation methods,and calculation examples of degree centrality,betweenness centrality and closeness centrality.Furthermore,the centrality of a generalized orthopair fuzzy social weight network based on undirected graphs is given,which contains definitions,calculation methods,and calculation examples of weight degree centrality,weight betweenness centrality and weight closeness centrality.Finally,an algorithm for centrality analysis of generalized orthopair fuzzy social networks based on undirected graphs is constructed.Second,generalized orthopair fuzzy social network centrality analysis based on directed graph.Firstly,based on the generalized orthopair fuzzy set,the definition of the generalized orthopair fuzzy social network relationship is given,and the definition of the generalized orthopair fuzzy social network based on the directed graph is given;secondly,the generalized orthopair relation based on the directed graph is proposed,which contains definitions,calculation methods,and calculation examples of degree centrality,betweenness centrality and closeness centrality.Furthermore,the centrality of a generalized orthopair fuzzy social weight network based on directed graphs is given,which contains definitions,calculation methods,and calculation examples of weight degree centrality,weight betweenness centrality and weight closeness centrality.Finally,an algorithm for centrality analysis of generalized orthopair fuzzy social networks based on directed graphs is constructed.Third,generalized orthopair fuzzy social network centrality analysis is applied to pipeline leakage detection of urban natural gas pipeline network and water pipeline network respectively.Based on the degree centrality,betweenness centrality and closeness centrality of the generalized orthopair fuzzy social network,the pipeline leakage detection of urban natural gas pipeline network and water pipeline network is analyzed,and the pipeline with the most serious leakage in natural gas pipeline network and water pipeline network is obtained.The research in this article will further enrich the theory of social network centrality analysis,broaden the application scope of social network centrality analysis,and provide a theoretical basis for pipeline leakage detection in urban natural gas pipeline networks and water pipeline networks.