Course: Fuzzy Sets and Fuzzy Systems

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Course title Fuzzy Sets and Fuzzy Systems
Course code MU/01119
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • VOJČÁK Petr, RNDr. Ph.D.
Course content
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.

Learning activities and teaching methods
unspecified
Recommended literature
  • H.-J. Zimmermann. Fuzzy set theory. Kluwer Acad. Publ., Boston-Dordrecht-London, 1996. ISBN 0-7923-9624-3.
  • V. Novák. Fuzzy množiny a jejich aplikace, 2. vyd.. SNTL, Praha, 1990. ISBN 04-012-90.
  • V. Novák. Základy fuzzy modelování, 1. vyd.. BEN-technická literatura, Praha, 2000. ISBN 80-7300-009-1.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Applied Mathematics (2) Mathematics courses 2 Summer
Mathematical Institute in Opava Mathematical Methods in Economics (2) Economy 2 Summer
Mathematical Institute in Opava Applied Mathematics (1) Mathematics courses 2 Summer
Mathematical Institute in Opava Applied Mathematics (2014-IVT) Mathematics courses 1 Summer
Mathematical Institute in Opava Applied Mathematics (2014-F) Mathematics courses 1 Summer
Mathematical Institute in Opava Mathematical Methods in Economics (3) Economy 2 Summer