Information Package / Course Catalogue
| Course Code | : MTK577 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The course aims to introduce and to understand fundamental notions of fuzzy topological spaces which is the generalization of general topological spaces and the course aims to provide a deep ability to search and study on these spaces.
Fuzzy sets, fuzzy point, Fuzzy topological space, neighborhood system of fuzzy topological space, accumulation point, cluster point and closure, Fuzzy subspaces, Base of a Fuzzy topology, Fuzzy continuity in fuzzy topological spaces, Fuzzy product spaces, Fuzzy open and fuzzy closed functions, Fuzzy separation axioms, Fuzzy homeomorphic spaces.
| 1. | Ability to understand the notion of fuzzy set and to learn how to apply its abstract properties |
| 2. | Ability to understand the notion of fuzzy space and ability to explain the differences between topological spaces |
| 3. | Ability to understand the concepts of continuity and basis of fuzzy topological spaces |
| 4. | Ability to determine a fuzzy function is open or closed |
| 5. | Ability to understand fuzzy separation axioms |
| 1. | Fuzzy Topology, N. Palaniappan CRC Press, 2002. |
| 2. | First Course on Fuzzy Theory and Applications, KKwang, H.L., Springer |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 3 | 56 |
| Assignment | 1 | 10 | 2 | 12 |
| Term Project | 1 | 10 | 2 | 12 |
| Individual Work | 14 | 0 | 1 | 14 |
| Midterm Examination | 1 | 20 | 2 | 22 |
| Final Examination | 1 | 32 | 2 | 34 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 4 | 3 | 3 | 3 | 3 | 4 | |||||||||
OÇ-2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | ||||||||
OÇ-3 | 4 | 4 | 4 | 5 | 4 | 3 | 4 | 4 | |||||||
OÇ-4 | 4 | 4 | 4 | 5 | 5 | 3 | 4 | 4 | |||||||
OÇ-5 | 4 | 4 | 4 | 5 | 5 | 3 | 4 | 4 | |||||||