Reliability Evaluation of Complex System with Fuzzy Reliability of Components using Interval Nonlinear Programming

Abstract

We have considered reliability of components of complex system is fuzzy in nature. Since reliability components are taken fuzzy in nature, so system reliability is also in fuzzy nature. We apply Zadeh’s extension principal and interval arithmetic operation to evaluate reliability of the system assembled with fuzzy reliability of components. We approximate the system reliability to a fuzzy number and evaluate the corresponding maximum divergence. Here, we demonstrate a bridge network whose components reliability are taken as triangular fuzzy number. Evaluating reliability of the system belongs to an interval. We have considered cost constrained goal as an interval number, interval nonlinear programming is used to find out the system reliability. Numerical examples are given to illustrate the approach to evaluate the system reliability.