A fuzzy consensus aggregation operator

An aggregation operator of quantitative opinions about the acceptance or rejection of a certain alternative is proposed. The main idea is to include a degree of consensus between the experts in computing the final value. We aim at strengthening the acceptance or rejection rate if the experts agree in their assessments. The proposed operator is directly applicable to the two-level classification paradigm where a pool of classifiers is used to infer the decision. The operator allows us to form a complex classification boundary in the space of experts' (classifiers') decisions expressed in terms of degrees of membership. The connective can easily be extended to define a classifier with a ''refuse-to-decide'' option.