Evaluating the nuclear power plant safety system under neutrosophic environment

The safety system of nuclear power plants is very crucial for protecting the environment and the living world. In this article, we have addressed the nuclear power plant safety system in a neutrosophic environment. Here, we have mathematically presented a nuclear power plant safety system in terms of neutrosophic differential equations. We have thoroughly examined and discussed both analytically and numerically the solution of the nuclear power plant safety model considering the underlying model parameter as single-valued triangular neutrosophic number. We have focused to find out probability of the nuclear power plant’s safety system working normally and shutdown in safe mode when the model parameters are imprecise in nature. It has been observed that the normal operation and shutdown probability of nuclear power plant safety systems under uncertain conditions are predicted with robust accuracy.