International Journal of Advanced Studies (Sep 2022)
THE PROBLEM OF CHOOSING THE OPTIMAL DESIGN OPTION FOR A COMPLEX SYSTEM UNDER CONDITIONS OF INTERVAL UNCERTAINTY
Abstract
The paper describes the process of choosing the optimal design option for a complex technical system under conditions of interval uncertainty and incomplete information about the parameters and the phase state. Problems of this kind are extremely relevant at the initial stage of designing complex systems, when from a variety of possible options it is necessary to select those that are more consistent with the heterogeneous quality criteria and do not always meet the ambiguous preferences of the decision maker. The aim of the study is to develop effective methods for comparing various design options for complex systems at the initial design stage under conditions of interval uncertainty. The objectives of the study include the construction of a mathematical model for the functioning of a complex system under conditions of uncertainty, as well as the analysis of the main methods for comparing alternatives with heterogeneous quality criteria. Materials and Methods. The article provides a description of the functioning model of a complex technical system under conditions of uncertainty, and also describes the main methods for comparing various options for the system design at the initial stages of design in conditions of incompleteness and uncertainty of information, as well as ambiguity of the preferences of the decision maker. Results. The scientific novelty of the implemented approach lies in the use of interval data statistics, which allow the most correct consideration of possible errors associated with measuring the values of the characteristics of the studied technical systems at all stages of the control process. The scientific novelty of the implemented approach lies in the use of the interval analysis apparatus, which makes it possible to most correctly take into account the possible errors associated with measuring the values of the characteristics of the studied technical systems at all stages of the design process. Discussion and Conclusions. The mathematical model of the process of functioning of a complex technical system under conditions of interval uncertainty developed in the course of the study allows selection of system design options at the initial stages of design, taking into account possible errors and inaccuracies arising from the deviation of values from the calculated nominal values.
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