Level sets: Definition and examples
Barnabas, B., Mathematics of Fuzzy Sets and Fuzzy Logic, (Springer (2013)).
Chapter No. 1
Course Material
- Fuzzy Sets: Introduction, Definition and examples
- Level sets: Definition and examples
- Properties of special types of fuzzy sets
- Special types of fuzzy sets
- Zadeh’s extension principle
- More on Zadeh’s extension principle
- Fuzzy functions, sup-min extension principle
- Interval arithmetic, fuzzy numbers
- Mid Term Exam
- Results related to fuzzy Arithmetic
- Fuzzy Arithmetic
- Fuzzy metric spaces: Definition, examples and related results
- Results related to fuzzy inner product
- Fuzzy inner product
- Support function, embedding results, continuous fuzzy functions
- Measurable fuzzy functions, Integrable fuzzy functions
- Differentiable fuzzy functions
- Final Term Exam
- Chapters 18
- Department Mathematics
- Teacher
Dr. Azhar Hussain
