| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Fuzzy Topology II | MAT603 | Elective | Doctorate degree | 1 | Spring | 8 |
Name of Lecturer(s)
Prof. Dr. Halis AYGÜN
Prof. Dr. Abdülkadir AYGÜNOĞLU
Learning Outcomes of the Course Unit
1) Explain the further topics on fuzzy topological spaces
2) State the notions of L-fuzzy topological space and L-fuzzy continuous function, where L is a lattice
3) Explain the basic properties of category and functor and learn fuzzy topological categories
4) Explain the categorical relations between general topological spaces and fuzzy topological spaces
5) Follow the academical papers on fuzzy topological spaces
7) Have enough information which is necessary for making a national/international presentations and also making papers
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 | |
| 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
Fuzzy Topoloji I
Course Contents
Candidates are provided with in-depth knowledge on L-fuzzy topological spaces, L-fuzzy continuous functions and categories of L-fuzzy topological spaces, relations among the L-fuzzy topological spaces, general topological spaces and L-topological spaces, base of a L-fuzzy topological space, initial and final topology, interior and closure operators, neighborhood systems in L-fuzzy topological spaces, convergence of nets and filters, different approaches of compactness and some properties of them, uniform L-fuzzy topological spaces.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required