| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT575 | BULANIK KÜME TEORİSİ I | Elective | 1 | 1 | 6 |
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| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To learn fuzzy set |
| Name of Lecturer(s) |
| Dr.Öğr.Üyesi Funda BABAARSLAN |
| Learning Outcomes |
| 1 | To learn fuzzy numbers | | 2 | To apply fuzzy numbers |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
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| Recommended Optional Programme Components |
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| Course Contents |
| Fuzzy set, Operations in fuzzy sets, Fuzzy relation concept, Cartesian product in fuzzy sets, Fuzzy sets family, Image and inverse image of fuzzy sets under a function, Fuzzy point concept, Addition, subtraction, multiplication and division operations in intervals, Alpha-level of a fuzzy set and alpha level set, Fuzzy logic in fuzzy sets, Fuzzy propositions, Fuzzy decision making, Fuzzy linear programming models Fuzzy numbers, Minimum and maximum fuzzy numbers, convolution and deconvolution |
| Weekly Detailed Course Contents |
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| 1 | Fuzzy set, Operations in fuzzy sets | | | | 2 | Fuzzy relation concept | | | | 3 | Cartesian product in fuzzy sets | | | | 4 | Fuzzy sets family | | | | 5 | Image and inverse image of fuzzy sets under a function | | | | 6 | Fuzzy point concept | | | | 7 | Addition, subtraction, multiplication and division operations in intervals | | | | 8 | Alpha-level set of a fuzzy set and arithmetic operations in alpha level set | | | | 9 | Convexity in fuzzy sets | | | | 10 | Fuzzy logic , Fuzzy propositions | | | | 11 | Fuzzy decision making | | | | 12 | Fuzzy linear programming models | | | | 13 | Fuzzy numbers | | | | 14 | Minimum ,maximum , convolution and deconvolution of fuzzy numbers, | | |
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| Recommended or Required Reading |
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| Planned Learning Activities and Teaching Methods |
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| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | | Work Placement(s) | |
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| Workload Calculation |
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| Midterm Examination | 1 | 70 | 70 |
| Final Examination | 1 | 80 | 80 |
| Makeup Examination | 1 | 20 | 20 |
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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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| Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |