Tail value-at-risk in uncertain random environment

Chance theory is a rational tool to be used in the systems which contain not only uncertainty but also randomness. In this paper, the concept of tail value-at-risk in uncertain random risk analysis is proposed and some theorems are provided for its calculation. Moreover, the tail value-at-risk is applied as the right-tail in the parallel system, series system, standby system, k-out-of-n system and structural system.