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Application of Structure Function in System Reliability Analysis based on Uncertain Data

An important step in reliability evaluation of any system is selection of an appropriate mathematical representation. One of the possible mathematical representations is structure function that expresses dependency of system state on states of its components. This function must be completely specified for reliability evaluation of the analyzed system. The structure function is constructed based on complete information about the system structure and possible components states. However, there are a lot of practical problems when the complete information is not available because data from which it can be derived cannot be collected. As a rule, other mathematical representations and methods for evaluation of system reliability are used in these situations. In this paper, we propose a new method for construction of the structure function from uncertain or incomplete data. This method is developed based on application of Fuzzy