Fuzzy Logic and Computational Intelligence:
Lecture #1a Content
Material Covered in Lecture #1
- Administrative Notes
Grades, expectations, handouts, Web site, etc.
- Course Outline An
overview of the course
-
Introduction and Motivation
Fuzzy Logic Theory: Basic Concepts
- Definition of a fuzzy set
- Membership (characteristic) function
- Set operations (union, intersection, complementation)
- Algebraic Properties (Idempotency, Distributivity, Excluded Middle, etc.)
- T-norms Overview (DeMorgan Law for T-norms and T-Conorms)
- Level Sets (Alpha cuts, Core, Support, Bandwidth, Identitity Principle)
- Possibilistic interpretation
- Cardinality of a Fuzzy set
- Measure of fuzziness of a fuzzy sets (entropy)
- Numerical example
- PDF Files of Slides for Lectures 1 and 2
