It is shown that the application of multi-step quality games theory allows financing of various information technologies considering various factors. In particular, there are lots of approaches to building effective information security systems in the enterprise. Using such model will make it possible to develop, based on game models, decision support systems (DSS), for example, software products (PP). Which, in turn, will allow making rational decisions on investing in the development of such technologies. This circumstance makes it necessary and relevant to develop new models and software products that can implement decision support procedures in the process of finding rational investment strategies, including in information security field of enterprises, and obtaining forecast assessment for feasibility of a specific strategy. The model proposed by us is based on analysis of financing process by investors in information technology for protecting information tasks for the case of their multi-factoring in fuzzy setting. The investment process management model is proposed, using the example of investing in the information security of informatization objects taking into account mu
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