Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA663 | FUZZY SET THEORY | Compulsory | 1 | 1 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
The aim of the course is
• to introduce Fuzzy Sets and Fuzzy Logic.
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Name of Lecturer(s) |
Doç. Dr. Yıldıray ÇELİK |
Learning Outcomes |
1 | Able to define the fuzzy sets. To understand the properties of fuzzy sets. To comprehend differents between claasical set theory and fuzzy set theory. |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
• Basic concepts of classical Aristotle’s logic
• Classical set theory and characteristic values
• On Zadeh, the father of fuzzy theory Untorsion spaces
• The concept of fuzziness, linguistic variables, linguistic terms,
• Fuzzy sets, membership functions, the methods of construction of membership functions, fuzzy set operations; union, intersection and complement, alpha-cuts, alpha-level sets, fuzzification and defuzzification methods
• Three-valued logic and multi-valued logics
• Fuzzy logic |
Weekly Detailed Course Contents |
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1 | Classical Aristotle’s Logic
| | | 2 | Classical Set Theory
| | | 3 | Fuzzy Sets
| | | 4 | Memebrship Functions
| | | 5 | The Methods of Construction of Memebership Functions
| | | 6 | Fuzzy Set Operations
| | | 7 | Union of Fuzzy Sets
| | | 8 | Intersection of Fuzzy Sets
| | | 9 | Complement of Fuzzy Sets
| | | 10 | Alpha-Cuts of Fuzzy Sets
| | | 11 | Alpha-Level Sets
| | | 12 | Fuzzification and Defuzzification Methods
| | | 13 | Crisp Relations and Fuzzy Relations
| | | 14 | Fuzzy Number
| | | 15 | Operations on Fuzzy Numbers
| | | 16 | Final exam | | |
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Recommended or Required Reading |
1. H. Lee K., First Course on Fuzzy theory and Applications. |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Makeup Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 6 | 84 |
Problem Solving | 10 | 2 | 20 |
Self Study | 14 | 4 | 56 |
Individual Study for Mid term Examination | 8 | 4 | 32 |
Individual Study for Final Examination | 6 | 4 | 24 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
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