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| Course Description |
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| Course Name |
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Fuzzy Mathematical Modeling |
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| Course Code |
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EM-564 |
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| Course Type |
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Optional |
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| Level of Course |
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Second Cycle |
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| Year of Study |
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1 |
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| Course Semester |
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Spring (16 Weeks) |
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| ECTS |
: |
6 |
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| Name of Lecturer(s) |
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InstructorDr. EBRU YILMAZ
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| Learning Outcomes of the Course |
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Learns fuzzy mathematical modeling and modeling problems faced in various areas using fuzzy mathematical programming
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| Mode of Delivery |
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Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
The purpose of this course is to study fuzzy mathematical models in various problems. |
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| Course Contents |
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Classical and fuzzy sets, membership functions, fuzzy set operations, fuzzification and defuzzification, fuzzy relations, fuzzy linear programming, fuzzy integer programming, fuzzy mathematical models.
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| Language of Instruction |
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English |
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| Work Place |
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Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Classical and fuzzy sets |
Reading the resources related to the section |
Explanation, presentation |
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2 |
Classical and fuzzy sets |
Reading the resources related to the section |
Explanation, presentation |
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3 |
Membership functions |
Reading the resources related to the section |
Explanation, presentation |
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4 |
Fuzzy set operations |
Reading the resources related to the section |
Explanation, presentation |
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5 |
Fuzzification and defuzzification |
Reading the resources related to the section |
Explanation, presentation |
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6 |
Fuzzy relations |
Reading the resources related to the section |
Explanation, presentation |
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7 |
Midterm exam |
The preparation for the midterm exam |
Written exam |
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8 |
Fuzzy linear programming |
Reading the resources related to the section |
Explanation, presentation |
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9 |
Fuzzy linear programming |
Reading the resources related to the section |
Explanation, presentation |
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10 |
Fuzzy integer programming |
Reading the resources related to the section |
Explanation, presentation |
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11 |
Fuzzy integer programming |
Reading the resources related to the section |
Explanation, presentation |
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12 |
Fuzzy mathematical models |
Reading the resources related to the section |
Explanation, presentation |
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13 |
Fuzzy mathematical models |
Reading the resources related to the section |
Explanation, presentation |
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14 |
Fuzzy mathematical models |
Reading the resources related to the section |
Explanation, presentation |
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15 |
Project presentations |
The preparation for the project presentation |
Presentation, discussion |
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16/17 |
Final exam |
The preparation for the final exam |
Written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 RUAN, D., 1995, Fuzzy Set Theory and Advanced Mathematical Applications, Kluwer Academic Publishers, Boston, 324 pages.
Lectures
ŞEN, Z., 2004, Bulanık (Fuzzy) Mantık ve Modelleme Prensipleri, Su Vakfı Yayınları, İstanbul, 191 sayfa.
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
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Homeworks/Projects/Others |
2 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Understand, interpret and apply knowledge in his/her field domain both in-depth and in-breadth by doing scientific research in industrial engineering. |
5 |
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2 |
Acquire comprehensive knowledge about methods and tools of industrial engineering and their limitations. |
5 |
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3 |
Work in multi-disciplinary teams and take a leading role and responsibility. |
4 |
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4 |
Identify, gather and use necessary information and data. |
4 |
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5 |
Complete and apply the knowledge by using scarce and limited resources in a scientific way and integrate the knowledge into various disciplines. |
4 |
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6 |
Keep up with the recent changes and applications in the field of Industrial Engineering and analyze these innovations when necessary. |
5 |
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7 |
Work in multi-disciplinary teams, take a leading role and responsibility and develop solutions for complex problems. |
4 |
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8 |
Analyze Industrial Engineering problems, develop innovative methods to solve the problems. |
5 |
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9 |
Have the ability to propose new and/or original ideas and methods in developing innovative solutions for designing systems, components or processes. |
5 |
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10 |
Design and perform analytical modeling and experimental research and analyze/solve complex matters emerged in this process. |
5 |
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11 |
Follow, study and learn new and developing applications of industrial engineering. |
5 |
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12 |
Use a foreign language in verbal and written communication at least B2 level of European Language Portfolio. |
4 |
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13 |
Present his/her research findings systematically and clearly in oral and written forms in national and international platforms. |
4 |
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14 |
Understand social and environmental implications of engineering practice. |
4 |
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15 |
Consider social, scientific and ethical values in the process of data collection, interpretation and announcement of the findings. |
4 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
2 |
15 |
30 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
14 |
14 |
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Final Exam |
1 |
18 |
18 |
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Total Workload: | 146 |
| Total Workload / 25 (h): | 5.84 |
| ECTS Credit: | 6 |
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