1. Fuzzy Logic Notes by Dr. Ashraf Abdelbar American University in Cairo
to accompany chapter 2 of Jang, Sun & Mizutani

2. Fuzzy Sets Notation for specifying a fuzzy set.
Terminology: support, core, normality, crossover point, fuzzy singleton, alpha-cut, convexity, fuzzy number, width, symmetry, open-left and open-right
Set operations: union, intersection, complement, Cartesian product.

3. Membership Functions
Triangular, trapezoid, Gaussian, Cauchy, bell, sigmoid, closed & assymetric
Two-Dimension MF’s.
Cylindrical extension.
Projection.
Composite & non-composite 2-D MF’s.

4. Fuzzy Complement Two axioms Involution axiom Stronger requirement
Sugeno’s complement.
Yager’s complement.

5. T-norms & S-norms Four T-norm & S-norm operations.
Relations between them.
Duality Principle.
Parametrized norms: e.g. S & S.