Evaluating the nuclear power plant safety system under neutrosophic environment

Debapriya Mondal; Totan Garai; Gopal Chandra Roy; Shariful Alam

Authors

Debapriya Mondal Department of Mathematics, IIEST, Shibpur, Howrah-711103, India
Totan Garai Department of Mathematics, Syamsundar College, Purba Bardhaman, WB, India.
Gopal Chandra Roy
Shariful Alam Department of Mathematics, IIEST, Shibpur, Howrah-711103, India.

Keywords:

Neutrosophic set; Single valued neutrosophic set; Triangular single valued neutrosophic number; Neutrosophic differential equation; Nuclear power plant safety model

Abstract

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.

DOI: 10.5281/zenodo.13564175