Uncertainty Analysis on Neutron Diffusion Equation Using Fuzzy α-cut Approach

Neutron diffusion equation is being used to estimate the safety margin of a neutronic parameter. The assessment of safety margin requires variability and uncertainty analysis. When the variation of sensitive parameter is varying in an imprecise manner, the evaluation of safety margin is very difficult using probabilistic analysis. However, fuzzy set theory based approach may be used to estimate the safety margin associated with imprecise variation. In this paper, impact of imprecise variation of cross section on neutron multiplication factor by solving neutron diffusion equation has been demonstrated.