Observable structure functions

Abstract

Considers the concept of structure function in reliability theory. Complete lattices are considered in order to model the space of performance levels for both system and components, leading to a general concept of structure function. Measurability with respect to the associate order topology is also assumed. On one hand, some basic concepts in classical reliability theory are translated into this context, where a particular measure has been defined over the space of components. On the other hand, the idea of duality is analysed in this context.