Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
FMA663FUZZY SET THEORYCompulsory116
Level of Course Unit
Second Cycle
Objectives of the Course
The aim of the course is • to introduce Fuzzy Sets and Fuzzy Logic.
Name of Lecturer(s)
Doç. Dr. Yıldıray ÇELİK
Learning Outcomes
1Able to define the fuzzy sets. To understand the properties of fuzzy sets. To comprehend differents between claasical set theory and fuzzy set theory.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
• Basic concepts of classical Aristotle’s logic • Classical set theory and characteristic values • On Zadeh, the father of fuzzy theory Untorsion spaces • The concept of fuzziness, linguistic variables, linguistic terms, • Fuzzy sets, membership functions, the methods of construction of membership functions, fuzzy set operations; union, intersection and complement, alpha-cuts, alpha-level sets, fuzzification and defuzzification methods • Three-valued logic and multi-valued logics • Fuzzy logic
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Classical Aristotle’s Logic
2Classical Set Theory
3Fuzzy Sets
4Memebrship Functions
5The Methods of Construction of Memebership Functions
6Fuzzy Set Operations
7Union of Fuzzy Sets
8Intersection of Fuzzy Sets
9Complement of Fuzzy Sets
10Alpha-Cuts of Fuzzy Sets
11Alpha-Level Sets
12Fuzzification and Defuzzification Methods
13Crisp Relations and Fuzzy Relations
14Fuzzy Number
15Operations on Fuzzy Numbers
16Final exam
Recommended or Required Reading
1. H. Lee K., First Course on Fuzzy theory and Applications.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
Yarıyıl (Yıl) İçi Etkinlikleri40
Yarıyıl (Yıl) Sonu Etkinlikleri60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Makeup Examination122
Attending Lectures14684
Problem Solving10220
Self Study14456
Individual Study for Mid term Examination8432
Individual Study for Final Examination6424
TOTAL WORKLOAD (hours)222
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
LO15555555
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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