A fuzzy classifier based on probabilistic relaxation

In this paper, a new fuzzy classifier is developed in which a simple relation between probabilistic vectors and fuzzy sets is derived and the probabilistic relaxation scheme is employed. The fuzzy classifier consists of two stages. Firstly, the fuzzy sets are separated into several groups in terms of the relation between probabilistic vectors and fuzzy sets. Secondly, each group of fuzzy sets is further classified into different subgroups by the probabilistic relaxation scheme. Numerical experiments to verify the effectiveness of the proposed method are carried out. The results show that the method is simple and works well.