Fuzzy Logic

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Cybernetics

Synopsis:

Basics of fuzzy sets and fuzzy logic. Measures on collections of fuzzy sets. Principles of fuzzy control.

Requirements:

Mathematical Logic

Syllabus of lectures:

Basic notions about fuzzy sets, fuzzy propositional and set operations. Fundamentals of classical mathematical logic, proofs, completeness theorems. Basic types of fuzzy propositional logics, deduction, consistency, completeness. Basics of fuzzy predicate logics. MV-algebras. Basic principles of measure theory, measures on MV-algebras and on collections of fuzzy sets. Principles of fuzzy control, Takagi-Sugeno and Mamdani-Assilian controller. Logical interpretation of a fuzzy controller. More general types of fuzzy sets, rough sets, and other alternative approaches. Types of uncertainty, quantum logics.

Syllabus of tutorials:

Study Objective:

Basic tools of fuzzy sets and fuzzy logic applied to specific engineering tasks.

Study materials:

D. Driankov, H. Hellendoorn, M. Reinfrank: An Introduction to Fuzzy Control,

Springer, Berlin, Heidelberg, 1993

Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Theory and Applications.

Prentice-Hall, 1995

Nguyen, H.T., Walker, E.A.: A First Course in Fuzzy Logic. 2nd ed., Chapman

& Hall/CRC, Boca Raton/London/New York/Washington, 2000

Kruse, R., Gebhardt, J., Klawon, F.: Foundations of Fuzzy Systems. J.

Wiley, 1994

Note:

Further information:

http://cmp.felk.cvut.cz/~navara/fl

No time-table has been prepared for this course

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)
• Doctoral studies, structured daily studies (compulsory elective course)
• Doctoral studies, structured combined studies (compulsory elective course)