Math 180 - Spring 1996
Fuzzy Sets , Fuzzy Numbers, Fuzzy Logic, and Applications
Jim Diederich
FIRST MEETING WILL BE MONDAY, APRIL 1, IN 593 KERR HALL AT 3:10.
COURSE WILL LIKELY MEET MWF 3.
What is fuzzy?
Fuzzy concepts were developed in the mid 1960's by Lotfi Zadeh at Berkeley as a means of handling imprecision. Much of what we do in the real world is not precise. We talk about "Tall people" without ever really defining what "Tall" means, and the same
goes for "Hard tests," "Difficult problems" and the like. Unfortunately, computers tend to be able to handle only precise information well as in the case of rules for expert systems, mathematical models to control trains, appliances, and the like. But t
here is a price to be paid for being so precise and it is often seen in software systems that perform poorly during unexpected events. Fuzzy concepts can help with this. The Japanese have been using fuzzy concepts extensively in controls for trains, app
liances, manufacturing, etc. The US is just beginning to catch on the to value of these concepts.
Prerequisites: Math 108 and junior standing
Course description: This course will provide an undergraduate level introduction to fuzzy sets and related concepts with applications. Topics to be covered include crisp and fuzzy sets, operations on fuzzy sets including unions, intersections, combinati
ons and aggregations, crisp and fuzzy relations including binary and similarity relations, fuzzy numbers, fuzzy logic, and applications. THIS COURSE WILL GENERALIZE MANY OF THE TOPICS IN MATH 108 SO EVEN IF YOU ARE NOT INTERESTED IN COMPUTER APPLICATIONS
IT CAN ENHANCE YOUR UNDERSTANDING OF THIS MATERIAL. The emphasis will be on developing the concepts. Programming will not be a major part of the course.
Course format: Lectures 3 hours per week, homework, a midterm, and a final. Lectures will include definitions, theorems, proofs, and examples.
If you are interested, contact
dieder@math.ucdavis.edu