Abstract
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.
Highlights
The degree to which the global navigation satellite system (GNSS) spoofing and jamming equipment can achieve the expected goals during a spoofing task can be determined by evaluating the efficacy of the equipment
In other studies [5], [6], the interval theory has been combined with the analytic hierarchy process (AHP) and fuzzy comprehensive evaluation theory, and an evaluation method based on interval numbers has been proposed for related projects in a power grid
The interval theory was first integrated with the combined weight and fuzzy comprehensive evaluation theory; this was aimed at obtaining an interval number form for all the elements involved to effectively deal with the fuzziness and randomness of decisionmaking factors and improve the credibility of the results
Summary
The degree to which the global navigation satellite system (GNSS) spoofing and jamming equipment can achieve the expected goals during a spoofing task can be determined by evaluating the efficacy of the equipment. Wang et al.: Dynamic Evaluation of GNSS Spoofing and Jamming Efficacy Based on Game Theory of equipment These models and methods have, to some extent, reduced the uncertainty in the process of evaluating the effectiveness of different subjects. There are many uncertainties in these two traditional approaches To overcome this drawback, the interval theory was first integrated with the combined weight and fuzzy comprehensive evaluation theory; this was aimed at obtaining an interval number form for all the elements involved to effectively deal with the fuzziness and randomness of decisionmaking factors and improve the credibility of the results. To construct a profit matrix and to account for the uncertainty of evaluation, a weighted superposition method was employed; the profit matrix was the core element of the navigation antagonism game This approach combined an interval-valued fuzzy comprehensive evaluation and the joint scores of multiple experts. The evaluation results that were similar to the realworld situation were obtained using a linear programming algorithm
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