Efficiency of the Design Processes for Complex Systems with the Mathematical Apparatus of Fuzzy Sets

An analysis of methods for evaluating the effectiveness of complex system design processes is presented, and formal indicators for assessing their quality based on the mathematical apparatus of fuzzy sets are proposed. A complex system, such as a model of the business processes of designing, testing, and manufacturing (creating) on-board radio-electronic equipment was chosen as the basis, involving multiple departments of the enterprise, from managers, circuit designers, and designers to the procurement department, testing workshops, and support services. It is proposed to consider all components of business processes as resources, to identify material, labor, financial, temporal, hardware, and software resources among them, establish a connection between them, and evaluate the weight coefficients of the connections to find the most effective implementation of the complex system design process using a radar diagram of relative quality indicators. An E-network logical-dynamic model of project design work execution is used to evaluate the efficiency of each resource over time and calculate the integrated efficiency indicator of the life cycle business processes of creating a complex system. This model allows for the consideration of dynamic characteristics of parallel interacting departments and project stages. Based on the fuzzy set apparatus, an approach to evaluating the effectiveness of each stage of the complex system creation project is considered, which in turn allows for the uncertainty and fuzziness in evaluation to be taken into account and determine the importance of each criterion based on investor preferences. This helps make informed decisions about building an investment portfolio and achieving desired financial goals.