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Course Information
Course Unit Title : Introduction to Theory of Fuzzy Sets
Course Unit Code : 01MAT5153
Type of Course Unit : Optional
Level of Course Unit : Second Cycle
Year of Study : Preb
Semester : 255.Semester
Number of ECTS Credits Allocated : 6,00
Name of Lecturer(s) : ---
Course Assistants :
Learning Outcomes of The Course Unit : Fuzzy sets, fuzzy numbers, fuzzy functions
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : Fuzzy sets: Operations, alpha cuts, cardinalite, inculusion relations, convex fuzzy sets
Fuzzy numbers: Ordering, addition, difference multiplication and division
Extension Principle: Extension of real operation on the set of fuzzy sets, fuzzy functions
Languages of Instruction : Turkish-English
Course Goals : To introduce the fuzzy sets, fuzzy number and their basic operations
Course Aims : To introduce the fuzzy sets, fuzzy number and their basic operations
WorkPlacement   Not Available
Recommended or Required Reading
Textbook : i-) Dubois, D, Prade, H., Fuzzy Sets and Systems, Academic press, New york, 1980 ii-) Kauffmann, A., Gupta, M.M., Introduction to Fuzzy Arithmetic, Van Nostrand Reinhold, New York, 1984. iii) Diamond P.,Kloeden P., Metric Spaces of Fuzzy Sets, World Scientific, Singapore, 1994.
Additional Resources :
Material Sharing
Documents :
Assignments :
Exams :
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
14 3 42  
Time Of Studying Out Of Class :
15 4 60  
Homeworks :
3 15 45  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 15 15  
Finals :
1 15 15  
Workload Hour (30) :
30  
Total Work Charge / Hour :
177  
Course's ECTS Credit :
6      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 100
Quiz :
0 0
Homework :
0 0
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
100
The ratio of the term to success :
50
The ratio of final to success :
50
TOTAL :
100
Weekly Detailed Course Content
Week Topics  
1 General description and history of fuzzy sets.
 
2 Basic operations on the set of fuzzy sets
 
3 Alpha cut of a fuzzy set
 
4 Cardinalite of a fuzzy set, inculusion relations of fuzzy sets
 
5 Similarity measures
 
6 Convex fuzzy sets
 
7 Fuzzy numbers
 
8 Basic operations on the set of fuzzy numbers n of extension principle
 
9 L-Fuzzy sets
 
10 Extension principle
 
11 Application of extension principle
 
12 Fuzzy relations
 
13 Fuzzy Functions
 
14 Review and conculusions.