TÜRKÇE
ENGLISH
Information
| Code | ENS441 |
| Name | Introduction to Fuzzy Set Theory |
| 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi EBRU YILMAZ |
Course Goal
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 | Explains the differences between fuzziness and probability concepts. |
| LO02 | Expresses membership function concept and its parts. |
| LO03 | Expresses how to assign membership degrees to create a fuzzy system. |
| LO04 | Distinguishes the differences between fuzzy sets and classical sets. |
| LO05 | Calculates addition, subtraction, multiplication and division of fuzzy numbers. |
| LO06 | Expresses the basic operations related to fuzzy mathematical model. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | 3 |
| 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 orally and in writing; knowledge of at least one foreign language; have the ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves. | 2 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility. | 4 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly. | 3 |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money. | 4 |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues. | 4 |
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 |
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 | ||