MU01119 Fuzzy Sets and Fuzzy Systems

Mathematical Institute in Opava
Summer 2019
Extent and Intensity
1/1/0. 3 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Samuel Joshua Roth, Ph.D. (lecturer)
Mgr. Samuel Joshua Roth, Ph.D. (seminar tutor)
Guaranteed by
Mgr. Samuel Joshua Roth, Ph.D.
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
Course objectives (in Czech)
Cílem předmětu je zvládnutí základů teorie fuzzy množin a jejich aplikaci se zaměřením na využití v rozhodování v různých oblastech lidské činnosti. Obsahem seminářů je řešení příkladů k jednotlivým tématům látky probírané na přednáškách.
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.
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
English
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.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2020.
  • Enrolment Statistics (Summer 2019, recent)
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