知识约简是粗糙集研究的内容之一,粒度计算问题结合粗糙集的理论和应用可以解决一些问题.在一个由信息系统构成的多粒度数据集上,利用提出的Seeking Common Ground While Eliminating Differences(SCED)模型和给出的算法,较好地解决了一些多粒度下的属性约简,所给出的实例从时间复杂度上也充分说明了模型和算法的有效性.
In this paper,we propose a susceptible-infected-susceptible(SIS) model on complex networks,small-world(WS) networks and scale-free(SF) networks,to study the epidemic spreading behavior with time delay which is added into the infected phase.Considering the uniform delay,the basic reproduction number R_0 on WS networks and R_0 on SF networks are obtained respectively.On WS networks,if R_0 ≤ 1,there is a disease-free equilibrium and it is locally asymptotically stable;if R_0> 1,there is an epidemic equilibrium and it is locally asymptotically stable.On SF networks,if R_0≤1,there is a disease-free equilibrium;if R_0> 1,there is an epidemic equilibrium.Finally,we carry out simulations to verify the conclusions and analyze the effect of the time delay r,the effective rate λ,average connectivity and the minimum connectivity m on the epidemic spreading.
