Application of ordered fuzzy decision trees in construction of structure function of multi-state system

Abstract

The structure function is typical mathematical representation of investigated system in reliability analysis. This function defines the correlation of all possible system components states and system performance level from point of view of the system reliability. 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. In this paper, we propose a new method for construction of the structure function based on uncertain or incomplete initial data with application of ordered Fuzzy Decision Trees.