Three-Way Decision Based Overlapping Community Detection

The three-way decision based overlapping community detection algorithm (OCDBTWD) divides the vesting relationship between communities into three types: completely belong relation, completely not belong relation and incompletely belong relation, and it uses the positive domain, negative domain and boundary domain to describe those vesting relationships respectively. OCDBTWD defines the similarity between communities to quantify the conditional probability when two communities have the vesting relationship, and uses the increment values of extended modularity to reflect the inclusion ratio thresholds. OCDBTWD uses the three-way decision to decide the vesting relationship between communities to guide the merger of them. When the vesting relationship between communities is incompletely belong relation, then the overlapping vertex detection algorithm (OVDA) is proposed to detect overlapping vertices. OCDBTWD has been tested on both synthetic and real world networks and also compared with other algorithms. The experiments demonstrate its feasibility and efficiency.