MULTIVALUED CONTINUUM-SYSTEMS

This paper deals with continuum systems, where a continuous degree of performance levels between perfect functioning and complete failure is allowed. Here we shall assume that the system can be modeled as a str ucture function given by a mapping from the n-dimensional unit hypercu be into a k-dimensional unit hypercube, in such a way that the perform ance of the system is described according to k single continuum-valued criteria. Some basic concepts relative to these continuum multivalued systems are discussed and general reliability bounds are obtained bas ed upon the minimal paths and minimal cuts of the k associated single- valued continuum systems.