GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
FUZZY TOPOLOGY/MAT- 428
Course Title: FUZZY TOPOLOGY
Credits 3 ECTS 5
Semester 8 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
   Turkish
 -- NAME OF LECTURER(S)
  Prof. Cemil YILDIZ
 -- WEB SITE(S) OF LECTURER(S)
   websitem.gazi.edu.tr/site/cyildiz/
 -- EMAIL(S) OF LECTURER(S)
   cyildiz@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Understands the concept of fuzzy set.
Compares it with the classic sets.
Understands the concept of fuzzy topology
Compares with the classical topology.
Enlarged view of the world
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week   Fuzzy Logic
2. Week   Fuzzy Logic
3. Week  Fuzzy sets, fuzzy point and fuzzy set operations.
4. Week  Fuzzy topological spaces and subspaces.
5. Week  Fuzzy topological spaces and subspaces.
6. Week  System of neighborhoods in Fuzzy topological spaces.Local Base.
7. Week  Base and sub base in the fuzzy Topology
8. Week   Mid-Term Exam
9. Week  Base and sub base in the fuzzy Topology
10. Week   I. and II. Countability axioms.
11. Week   Adherence and closure and accumulation points in Fuzzy topological spaces,
12. Week   Adherence and closure and accumulation points in Fuzzy topological spaces,
13. Week   The fuzzy continuity of fuzzy spaces
14. Week   The fuzzy continuity of fuzzy spaces
15. Week   The fuzzy continuity of fuzzy spaces
16. Week   Final Exam
 -- RECOMMENDED OR REQUIRED READING
   1. Fuzzy Topology,Liu Ying-Ming,Luo Mao-Kang,(1997)World Sci. Publishing Co.Pte.Ltd.PO Box 128, Farrer Road,Singapore 912805. 2. Fuzzy Topology,N.Pal
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
   Lecture, Question & Answer
 -- WORK PLACEMENT(S)
   None
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
3
10
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
0
0
0
 Reading
9
3
27
 Searching in Internet and Library
10
2
20
 Designing and Applying Materials
0
0
0
 Preparing Reports
0
0
0
 Preparing Presentation
0
0
0
 Presentation
0
0
0
 Mid-Term and Studying for Mid-Term
1
12
12
 Final and Studying for Final
1
20
20
 Other
0
0
0
 TOTAL WORKLOAD: 
121
 TOTAL WORKLOAD / 25: 
4.84
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.X
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X