TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENS441 |
| Name | Introduction to Fuzzy Set Theory |
| Term | 2025-2026 Academic Year |
| Semester | 7. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. EBRU YILMAZ |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
Course Goal / Objective
The aim of this course is to give basic characteristics about fuzzy mathematical modeling technique.
Course Content
Fuzziness concept, Basic characteristics of fuzzy systems, Membership functions, Parts of membership functions, Assignment of membership degrees, Classical and fuzzy sets, Fuzzy set operations, Fuzzy mathematics, Addition and subtraction of fuzzy numbers, Multiplication and division of fuzzy numbers, Cluster relationships, Defuzzification.
Course Precondition
None
Resources
1. Altaş, İ. H. (1999). Bulanık Mantık: Bulanıklılık Kavramı. Enerji, Elektrik, Elektromekanik-3e, 62, 80-85. 2. Şen, Z. (2004). Mühendislikte Bulanık (Fuzzy) Mantık ile Modelleme Prensipleri, İkinci Baskı, Su Vakfı Yayınları, İstanbul, 195 sayfa. 3. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338-353.
Notes
1. Altaş, İ. H. (1999). Bulanık Mantık: Bulanıklılık Kavramı. Enerji, Elektrik, Elektromekanik-3e, 62, 80-85. 2. Şen, Z. (2004). Mühendislikte Bulanık (Fuzzy) Mantık ile Modelleme Prensipleri, İkinci Baskı, Su Vakfı Yayınları, İstanbul, 195 sayfa. 3. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338-353.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Expresses membership function concept and its parts. |
| LO02 | Expresses the properties of the membership function. |
| LO03 | Expresses how to assign membership degrees to create a fuzzy system. |
| LO04 | Calculates addition, subtraction, multiplication, division of fuzzy numbers. |
| LO05 | Expresses the basic operations related to fuzzy mathematical model. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Acquires sufficient knowledge in mathematics, science and Industrial Engineering discipline-specific subjects; acquires the ability to use theoretical and applied knowledge in these fields in complex engineering problems. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires the ability to identify, define, formulate and analytically solve complex Industrial Engineering problems; and has the ability to select and apply appropriate analysis and modelling methods for this purpose. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Acquires the ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; acquires the ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Acquires the ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Industrial Engineering applications and acquires the ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Acquire the skills to design and conduct experiments, collect data, analyze and interpret results to investigate complex Industrial Engineering problems or discipline-specific research topics. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Ability to communicate effectively in Turkish, both verbally and in writing; knowledge of at least one foreign language; ability to write and understand effective reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | They have awareness of the necessity of lifelong learning; they have the ability to access information, follow developments in science and technology, and constantly renew themselves. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acting in accordance with ethical principles, becoming knowledgeable about the standards used in engineering practices with awareness of professional and ethical responsibility. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Learn about business practices such as project management, risk management and change management, and is aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Informed about the universal and societal impacts of engineering practices on health, environment and safety, and the contemporary problems reflected in the field of engineering, and is aware of the legal consequences of engineering solutions. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Benefit from the power of effective communication in professional life and has the ability to interpret developments correctly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems that include machines, people, time, information or money. | 2 |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | By applying modern design methods, they have the ability to design, develop, implement and improve complex products, processes, businesses and systems under realistic conditions and constraints such as cost, environment, sustainable development, energy, manufacturability, ethics, health, safety and political issues. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Fuzziness concept | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Fuzzy systems and its basic characteristics - I | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım |
| 3 | Fuzzy systems and its basic characteristics - II | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım |
| 4 | Membership functions | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Parts of membership functions | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım |
| 6 | Assignment of membership degrees | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Tartışma |
| 7 | Classical and fuzzy sets, Fuzzy set operations - I | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 8 | Mid-Term Exam | The preparation for the midterm exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Fuzzy set operations - II | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Fuzzy mathematics, Addition and subtraction of fuzzy numbers - I | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Addition and subtraction of fuzzy numbers - II | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Multiplication and division of fuzzy numbers - I | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Multiplication and division of fuzzy numbers - II | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Cluster relations | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Tartışma |
| 15 | Defuzzification | Reading the resources related to the section | Öğretim Yöntemleri: Anlatım, Tartışma |
| 16 | Term Exam | The preparation for the final exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exam | The preparation for the final exam | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||