A non-transitory processor-readable medium storing code representing processor- executable instructions, the code comprising code to cause the processor to: obtain information of a data model graph having a plurality of nodes and a plurality of edges connecting the plurality of nodes, a first node and a second node from the plurality of nodes respectively representing a virtual element or a physical element in a network, the first node and the second node having a respective probabilistic network security measure indicative of potential security risk associated with the respective node, an edge from the plurality of edges representing a relationship between two nodes, comprising said first node and said second node, connected by the edge and from the plurality of nodes; obtain a threat indicator having a characteristic of a categorized assessment of network security risk; define a respective factor matrix representing a set of joint threat and safety probabilities for each pair of nodes, comprising said first node and said second node, from the plurality of nodes based on the relationship for each edge from the plurality of edges, the factor matrix including a factor indicative of a correlation between a pair of nodes from the plurality of nodes, wherein said joint threat and safety probabilities comprise the probability that both the first node and the second node are in states of threat or safety at the same time; determine an influence path for the threat indicator in the data model graph based on the factor matrix; propagate the threat indicator along the influence path to assess influence of the threat indicator on each node in the influence path; calculate a first updated probabilistic network security measure for the first node on the influence path based at least in part on the characteristic of the threat indicator; calculate a second updated probabilistic network security measure for the second node on the influence path based at least in part on the first updated probabilistic network security measure and the factor matrix; dynamically update the data model graph with the first updated probabilistic network security measure and the second updated probabilistic network security measure; and send a signal to a user equipment to generate a user interface on said user equipment, having a user interface widget representing the first updated probabilistic network security measure and the second updated probabilistic network security measure. obtain information of a data model graph having a plurality of nodes and a plurality of edges connecting the plurality of nodes, a first node and a second node from the plurality of nodes respectively representing a virtual element or a physical element in a network, the first node and the second node having a respective probabilistic network security measure indicative of potential security risk associated with the respective node, an edge from the plurality of edges representing a relationship between two nodes, comprising said first node and said second node, connected by the edge and from the plurality of nodes; a first node and a second node from the plurality of nodes respectively representing a virtual element or a physical element in a network, the first node and the second node having a respective probabilistic network security measure indicative of potential security risk associated with the respective node, an edge from the plurality of edges representing a relationship between two nodes, comprising said first node and said second node, connected by the edge and from the plurality of nodes; obtain a threat indicator having a characteristic of a categorized assessment of network security risk; define a respective factor matrix representing a set of joint threat and safety probabilities for each pair of nodes, comprising said first node and said second node, from the plurality of nodes based on the relationship for each edge from the plurality of edges, the factor matrix including a factor indicative of a correlation between a pair of nodes from the plurality of nodes, wherein said joint threat and safety probabilities comprise the probability that both the first node and the second node are in states of threat or safety at the same time; determine an influence path for the threat indicator in the data model graph based on the factor matrix; propagate the threat indicator along the influence path to assess influence of the threat indicator on each node in the influence path; calculate a first updated probabilistic network security measure for the first node on the influence path based at least in part on the characteristic of the threat indicator; calculate a second updated probabilistic network security measure for the second node on the influence path based at least in part on the first updated probabilistic network security measure and the factor matrix; dynamically update the data model graph with the first updated probabilistic network security measure and the second updated probabilistic network security measure; and send a signal to a user equipment to generate a user interface on said user equipment, having a user interface widget representing the first updated probabilistic network security measure and the second updated probabilistic network security measure.