An algorithm to compute possibilistic reliability

The mathematical representation of human behaviour and incomplete information is one of the most important challenges in reliability modelling. Several papers have been devoted to this topic but only few concern algorithms to compute the possibilistic system reliability from the component reliabilities. In this paper, we present an algorithm to approximate the possibilistic and the dual possibilistic reliability function of a system represented by an n-ary structure function. From these approximations we deduce an approximation of the necessistic and dual necessistic reliability function when the necessity measure is dual with respect to an order reversing mapping on the unit interval.