ABSTRACT

This chapter presents the basic mathematical foundations of fuzzy set the­ ory. With this purpose, the concept of fuzzy set as a generalization of the clas­ sical concept of set will be introduced, and the terminology associated with this type of set will be defined. Later, the different operations that can be defined on fuzzy sets will be described. Finally, the concept of fuzzy relation will be introduced and the different kinds of fuzzy relation compositions will be ana­ lyzed, since these compositions are key elements in the application of approx­ imate reasoning techniques.