ABSTRACT

The goal of this chapter is twofold: (i) to present the concept of incompleteness and (ii) to demonstrate how incompleteness is a source of uncertainty.

The uncertainty of a phenomenon has two causes: (i) inaccuracies in the model and (ii) ignored variables. In this section, we demonstrate this fact by a second experiment: the water treatment unit. This experiment consists of two stages. In the first stage, we describe the complete model of the water treatment unit, giving all the variables and functions involved in the model. In the

the are not available. In other words, we generate a synthetic incompleteness of our model. The goal is to show the consequences of this incompleteness and to present a first step toward Bayesian modeling.