MU:MU01119 Fuzzy Sets and Fuzzy Systems - Course Information
MU01119 Fuzzy Sets and Fuzzy Systems
Mathematical Institute in OpavaSummer 2011
- Extent and Intensity
- 1/1/0. 3 credit(s). Type of Completion: z (credit).
- Teacher(s)
- Ing. Bc. Josef Vícha (lecturer)
Ing. Bc. Josef Vícha (seminar tutor) - Guaranteed by
- Ing. Bc. Josef Vícha
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, B1101)
- Applied Mathematics (programme MU, N1101)
- Applied Mathematics in Risk Management (programme MU, B1101)
- Applied Mathematics in Risk Management (programme MU, B1102)
- Mathematical Methods in Economics (programme MU, B1101)
- Course objectives
- The aim of this course is to learn basics knowledge of Fuzzy sets and system and its applicaton in decision making. The practical aplication of the theoretical knowledge (using MS Excel) is the scope of the exercising.
- Syllabus
- Fuzzy sets and systems (FS) ? definitons and preliminars, examples, operations with FS.
t-norm, t-conorm, Aggregation operators.
Fuzzy numbers (FN) (konvex set, triangular fuzzy number, L-R FN, trapezoidal FN).
Extension principle, extension of operations with FN, T-norms and T-conorms.
Probability, possibility and fuzzy measure, probability and possibilty of fuzzy event.
Type-2 Fuzzy sets and Systems.
Fuzzy relations.
Fuzzy systems, linguistic variable, fuzzy linguistic systems, Fuzzy logic.
Fuzzy sets and expert systems, Fuzzy regulation, Mamdanis and Sugens fuzzy regulators, examples of fuzzy regulators, application in industry.
- Fuzzy sets and systems (FS) ? definitons and preliminars, examples, operations with FS.
- Literature
- recommended literature
- V. Novák. Základy fuzzy modelování, 1. vyd. BEN-technická literatura, Praha, 2000. ISBN 80-7300-009-1. info
- H.-J. Zimmermann. Fuzzy set theory. Kluwer Acad. Publ., Boston-Dordrecht-London, 1996. ISBN 0-7923-9624-3. info
- V. Novák. Fuzzy množiny a jejich aplikace, 2. vyd. SNTL, Praha, 1990. ISBN 04-012-90. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- Encompassment of a knowledge test.
- Enrolment Statistics (Summer 2011, recent)
- Permalink: https://is.slu.cz/course/sumu/summer2011/MU01119