Abstract
The proposed model aims to manage the continuous investment process in information security systems (ISS) of information security objects (OIS) while considering multifactoriality in a fuzzy formulation. Unlike existing solutions, the model takes into account continuous investment in the protection of information security. A new class of bilinear differential games in a fuzzy formulation is described in the solution process. The novelty of the model lies in the fact that for bilinear differential games Pontryagin, namely the first direct method and the alternating integral method. Also, the methods of the school of Krasovsky, despite the fact that the condition for the existence of a saddle point for a “small” game is satisfied here. Therefore, a new solution method was proposed—discrete-approximation, which made it possible to solve the problem under consideration. In addition, it should be noted that the solution in explicit form for multidimensional systems is extremely rare, which was done in this work. And, it can also be added that the consideration of a problem in which the player does not know exactly the state of another player, but only knows that his state belongs to a fuzzy set, is an additional confirmation of the novelty of the problem under consideration. The model is intended for the computational core of the decision support system (DSS) in the tasks of optimizing investment strategies in the information security information security system. Computational experiments were carried out for the developed model.
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Malyukov, V., Lakhno, V., Malyukova, I., Kryvoruchko, O., Desiatko, A., Tsiutsiura, M. (2023). A Model of Continuous Investing in Information Security with Multifactory Accounting in a Fuzzy Statement. In: Vasant, P., et al. Intelligent Computing and Optimization. ICO 2023. Lecture Notes in Networks and Systems, vol 854. Springer, Cham. https://doi.org/10.1007/978-3-031-50151-7_2
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