Course unit code:
Course unit title:
Theory of Fuzzy Systems
Mode of delivery, planned learning activities and teaching methods:
lecture – 2 hours weekly (on-site method)
Credits allocated:
Recommended semester:
Riadenie procesov – (full-time, attendance method), 0. semester
Level of study:
Prerequisites for registration:
Assesment methods:
-- item not defined --
Learning outcomes of the course unit:
Students acquire a higher level of knowledge in the theory fuzzy sets, fuzzy logic and aggregation techniques applied in fuzzy systems. They also acquaint with their applications in various areas. After finishing the course, the students are able to apply actively the presented notions and methods of the theory of fuzzy sets and fuzzy logic in solving problems in fuzzy control.
Course contents:
1. Modeling vague notions by fuzzy sets

2. Logical connectives in fuzzy logics

3. Aggregation functions

4. Fuzzy arithmetic

5. Fuzzy relations

6. Approximate reasoning

7. Applications of fuzzy sets and fuzzy logic in fuzzy szstems
Recommended or required reading:
  • KOLESÁROVÁ, A. – KOVÁČOVÁ, M. Fuzzy množiny a ich aplikácie. Bratislava: Vydavateľstvo STU v Bratislave, 2004. 166 s. ISBN 80-227-2036-4.
  • NAVARA, M. – OLŠÁK, P. Základy fuzzy množin. Praha : České vysoké učení technické v Praze, 2002. 136 s. ISBN 80-01-02585-3.
  • YUAN, B. – KLIR, G. Fuzzy Sets and Fuzzy Logic. Theory and Applications. London: Prentice Hall, 1995.
  • NOVÁK, V. Základy fuzzy modelování. Ostrava: Nakladateľstvo BEN-technická literatúra, 2000. 170 s. ISBN 80-7300-009-1.
  • NGUYEN, H T. – WALKER, E A. Fuzzy Logic. New York: Chapman and Hall, 2000.
Language of instruction:
Slovak, English
Assessed students in total:

A 100 %

B 0 %

C 0 %

D 0 %

E 0 %

FX 0 %

Name of lecturer(s):
Z. Takáč (2022/2023 – Winter)
Z. Takáč (2020/2021 – Winter)
Course supervisor:
doc. RNDr. Zdenko Takáč, PhD.
Last modification:
5. 10. 2019

Department of Mathematics

AIS: 2019/2020   2000/2001  

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