4.1 Crisp Relations4.2 Fuzzy Relations4.3 Cartesian Product, Projections, and Cylindrical Extension4.4 New Fuzzy Relations from Old Ones4.5 Fuzzy Binary Relations on a Set4.6 Fuzzy Orders4.7 Elements of Fuzzy Graph Theory4.8 Fuzzy Category Theory4.9 Fuzzy Vectors54.10 ApplicationsExercisesNotes