| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT-23-204 | Soft Set Theory II | Elective | 1 | 2 | 6 |
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| Level of Course Unit |
| Third Cycle |
| Objectives of the Course |
| To demonstrate the application of the concept of soft set to the basic concepts of algebraic structures. |
| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Alkan ÖZKAN |
| Learning Outcomes |
| 1 | General information about soft sets and their properties is learned | | 2 | The relationship between fuzzy sub sets and soft sets is understood | | 3 | The structure of soft group and their properties is learned | | 4 | The structure of soft ring and its properties is learned | | 5 | The structure of soft module and its properties is learned |
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| Mode of Delivery |
| Daytime Class |
| Prerequisites and co-requisities |
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| Recommended Optional Programme Components |
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| Course Contents |
| Soft sets
The structure of soft sets
De Morgan rules on soft sets
The relationship between fuzzy subsets and soft sets
Soft groups
Soft groups and soft subgroups
Soft subrings
Soft modules
Soft submodules
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| Weekly Detailed Course Contents |
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| 1 | Soft sets | | | | 2 | The structure of soft sets | | | | 3 | De Morgan rules on soft sets | | | | 4 | The relationship between fuzzy subsets and soft sets | | | | 5 | Soft groups | | | | 6 | Soft groups and soft subgroups | | | | 7 | MID TERM EXAM | | | | 8 | Normal soft subgroups | | | | 9 | Soft rings | | | | 10 | Soft rings | | | | 11 | Soft subrings | | | | 12 | Soft modules | | | | 13 | Soft modules | | | | 14 | Soft submodules | | | | 15 | Final Exam | | |
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| Recommended or Required Reading |
| 1-Mordeson J. N., Malik D.S., Fuzzy Commutative Algebra, World Scientific Publishing Co. Pte. Ltd, Singapure, 1998, p.405. |
| 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 | 50 | | End Of Term (or Year) Learning Activities | 50 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | |
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| Workload Calculation |
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| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 3 | 42 |
| Question-Answer | 14 | 3 | 42 |
| Individual Study for Mid term Examination | 1 | 50 | 50 |
| Individual Study for Final Examination | 1 | 50 | 50 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO2 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO3 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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