| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Fuzzy Mathematics | MAT506 | Elective | Master's degree | 1 | Spring | 8 |
Name of Lecturer(s)
Prof. Dr. Halis AYGÜN
Associate Prof. Dr. Vildan ÇETKİN
Learning Outcomes of the Course Unit
1) Identify abstract notions in mathematics and develop abstract thinking skills.
2) Explain the notion of lattice and its properties at basic level.
3) Explain the definition of the category and its fundamental properties.
4) Comprehend the generalization of the classical logic operations to the fuzzy logic by learning the fuzzy logic.
5) Explain the notion of fuzzy set and fuzzy set operations.
6) State the topology of fuzzy sets and its properties.
7) Explain the relations between classical topological spaces and fuzzy topological spaces in the categorical aspect.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 7 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Abstract Mathematics I
Course Contents
This course provides candidates with profound knowledge on fundamental notions and properties in lattice theory. classical logic, fundamental concepts of fuzzy logic, fhe definition of fuzzy set and its basic properties, the definition of fuzzy topology and fundamental properties of fuzzy topology, semi-continuity of functions and induced fuzzy topological sapces, functors between the category of classical topological spaces and the category of fuzzy topoogical spaces. Hausdorff fuzzy topological space and fuzzy compactness.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Drill and Practice
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required