Fuzzy Sets: Outline

• exposé

8/28/2001 1 Page 1 Fuzzy Sets Kai Goebel, Bill Cheetham GE Corporate Research & Development (adapted from slides by R. Jang) Soft Computing: Fuzzy Sets Soft Computing: Fuzzy Sets 2 Fuzzy Sets: Outline Introduction Basic definitions and terminology Set-theoretic operations MF formulation and parameterization • MFs of one and two dimensions • Derivatives of parameterized MFs More on fuzzy union, intersection, and complement • Fuzzy complement • Fuzzy intersection and union • Parameterized T-norm and T-conorm Soft Computing: Fuzzy Sets 3 Motivation -Treat vague (uncertain)

• mf value
• probability functions mfs heights5
• generalization of union
• subjective measures
• mfs
• membership function
• fuzzy sets
• mf
• statements