| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Fuzzy Topology I | MAT507 | Elective | Master's degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Halis AYGÜN
Prof. Dr. Abdülkadir AYGÜNOĞLU
Associate Prof. Dr. Vildan ÇETKİN
Learning Outcomes of the Course Unit
1) Develop proving skills by comprehending theoretical concepts
2) Explain the fuzzy set which is a generalization of a classical set and explain the operations on fuzzy sets.
3) State the different approximations of fuzzy topology defined in the literature.
4) State the theory of convergence, the concepts of compactness and paracompactness in fuzzy topollogical spaces.
5) Explain the basic properties of the lattice valued fuzzy topological spaces.
6) Gain independent reading and analysis skills on academic papers related to fuzzy topology.
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 | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Fuzzy Topoloji II
Course Contents
This course provides candidates with profound knowledge on the definitions of I-topological spaces and L-topological spaces, (where I=[0,1] unit interval, L is a lattice), continuity in L-topological spaces and categories of L-topological spaces, interior and closure operators in L-topological spaces, subbase, base and product spaces of L-topological spaces, neighborhood systems in L-topological spaces, different approximations of compactness in L-topological spaces and relations between them, compactificatiion of L-topological spaces, separation axioms and paracompactness.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required