Dynamic Evaluation of GNSS Spoofing and Jamming Efficacy Based on Game Theory

The evaluation of the effectiveness of global navigation satellite system (GNSS) spoofing and jamming equipment is not only an important means of enhancing the power of modern satellite navigation countermeasures, but also a dynamic decision-making problem, whose complexity manifests as the uncertainty of information used to make decisions (e.g., fuzziness, randomness, and dynamics). Previously, full consideration was given to the dynamics of decision information, as well the fuzzy, stochastic problems of quantitative and qualitative data when integrated with subjective and objective information. In this study, first, a spoofing mode index was established based on the performance analysis results of the spoofing equipment and target receivers during antagonized navigation. Second, a combined interval number eigenvalue method (IEM) algorithm with ternary association numbers, and entropy-weighting of the interval were used to combine weights, while considering the uncertainty of judged index weights and their subjectivity. Using a fuzzy comprehensive assessment of the interval and the superposition of multiple expert-derived joint scores, a profit matrix was constructed and solved using game theory to reveal the advantages of this approach in dealing with dynamic problems. Finally, the uncertainty of decision information was fully considered by applying the proposed method to practical application and dynamic analysis.