A Fuzzy Goal Programming Model For Evaluating A Hospital Service Performance

Recently we have developed a method to solve a linear goal-programming problem whose parameters are crisp and where both the constraints and the achievement of goals are flexible. In this paper we use this method to solve a model for evaluating a hospital service performance. The Decision Maker usually offers information that allows us to establish suitable values, in fuzzy terms, of the degree to which the goals and constraints are reached. Without distinction between goals and constraints, we will accept that a solution may verify each one with a certain degree of achievement, and the membership function of each fuzzy set describing them represents this degree. Then, we propose as problem solution the decision vectors x that maximize a global measure for the degree of achievement of goals and constraints. Using linear membership functions and, as aggregate function, the weighted mean, the initial fuzzy problem was converted into an equivalent goal programming problem that we solve in an interactive way. Our proposal is applied here to present a model to design the real performance of a surgical service at a local general hospital.