A two-compartment drug concentration model using intuitionistic fuzzy sets

This is the authors' abstract. We don't add key points for this paper.

The intuitionistic fuzzy differential equation (IFDE) is a robust mathematical tool that can deal with problems arising from model uncertainties. Intuitionistic sets are generalized sets of fuzzy sets. They establish that IFDE comprises an intuitionistic number characterized by membership and non-membership functions. This paper deals with generalized Hukuhara derivatives for intuitionistic fuzzy-valued functions. A compartment drug concentration system has been described in a fuzzy, intuitionistic setting to get a more accurate mathematical model. The initial conditions of the proposed drug system are considered triangular intuitionistic fuzzy numbers. The proposed model’s critical points of stability analysis have been explored in an intuitionistic environment. All intuitionistic fuzzy solutions of the proposed system support robust solutions. All results and formulas are confirmed graphically and numerically by MATLAB software.