Table 2 Summary of main symbols and notation.
From: Prominence-guided link prediction in fuzzy robotic networks
Symbol | Description |
|---|---|
G = (V, E, μV, μE) | Fuzzy interaction graph representing the robotic CPS |
V | Set of vertices (robotic agents, modules, or CPS components) |
E | Set of (undirected) edges (potential interactions/communication links) |
μV(vi) | Fuzzy vertex membership: reliability/stability of node vi |
μE(vi, vj) | Fuzzy edge membership: interaction strength/communication fidelity between vi and vj |
N(vi) | Neighbor set of node vi in the fuzzy graph |
df(vi) | Fuzzy degree (prominence) of node vi |
P | Path connecting two nodes in G |
S(P) | Strength of path P (e.g., minimum of edge memberships along P) |
λ(i, j) | Strength of connectedness between nodes i and j (maximum-strength path between them) |
SP(i, j) | Strength Prominence index between nodes i and j |
T | Time index or discrete time frame in the ROS log |
Ackij, Reqij | Acknowledgement and request packet counts between agents i and j over a time window |
dij | Euclidean distance between agents i and j |
Succi, Acti | Number of successful transmissions and intended actions for agent i |
Ei | Residual energy of agent i |
α, β, δ | Hyper parameters controlling distance decay and trade-off between communication success and energy sufficiency |
TP, FP, FN | True positives, false positives, and false negatives in link prediction |
AUC | Area under the ROC curve |
AUP | Area under the Precision–Recall curve |
