Presentation on theme: "Fuzzy Set and Opertion. Outline Fuzzy Set and Crisp Set Expanding concepts Standard operation of fuzzy set Fuzzy relations Operations on fuzzy relations."— Presentation transcript:
28 Crisp relation A relation among crisp sets is a subset of the Cartesian product. It is denoted by. Using the membership function defines the crisp relation R :
29 Fuzzy relation A fuzzy relation is a fuzzy set defined on the Cartesian product of crisp sets A 1, A 2,..., A n where tuples (x 1, x 2,..., x n ) may have varying degrees of membership within the relation. The membership grade indicates the strength of the relation present between the elements of the tuple.