Cardiovascular Disease Risk Assessment Using the Choquet Integral

In this paper we propose a cardiovascular risk diagnosis model based on non additive measures (fuzzy measures) and the Choquet integral. To this purpose, an ad hoc questionnaire was submitted to a set of doctors, from which a set of measures was elicited. The answers were then aggregated together in the spirit of consensus and an unique fuzzy measure was obtained. Again, the criteria used for the diagnosis were transformed using suitable membership functions. A cardiovascular disease risk index was then introduced as the Choquet integral of membership functions with respect to the fuzzy measure. A sensitivity analysis was performed too.