Analysis by fuzzy difference equations of a model of CO2 level in the blood Original Research Article

In this paper we shall consider a model to determine the carbon dioxide (CO2) level in the blood. The model consists of a set of nonlinear difference equations. However, the linearized model will be solved. Since many measurements and factors that determine the CO2 level in the blood may be imprecise, we will consider the fuzzy analog of the linearized model as a method to compensate for these imprecise measurements. We will estimate, for a fixed threshold α, a solution to the fuzzy difference equation with belief at least α. We will show that the results reduce to the classical case when the fuzzy quantities are replaced by crisp ones.