ENS441 Introduction to Fuzzy Set Theory

4 ECTS - 3-0 Duration (T+A)- 7. Semester- 3 National Credit

Information

Code ENS441
Name Introduction to Fuzzy Set Theory
Term 2022-2023 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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Dr. Öğr. Üyesi EBRU YILMAZ
Course Instructor Dr. Öğr. Üyesi EBRU YILMAZ (A Group) (Ins. in Charge)


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 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 Reading the resources related to the section Öğretim Yöntemleri:
Anlatım, Tartışma
8 Mid-Term Exam The preparation for the midterm exam Ölçme Yöntemleri:
Yazılı Sınav
9 Fuzzy set operations - I Reading the resources related to the section Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 Fuzzy set operations - II Reading the resources related to the section Öğretim Yöntemleri:
Anlatım, Problem Çözme
11 Fuzzy mathematics, Addition and subtraction of fuzzy numbers - I Reading the resources related to the section Öğretim Yöntemleri:
Anlatım, Problem Çözme
12 Addition and subtraction of fuzzy numbers - II Reading the resources related to the section Öğretim Yöntemleri:
Anlatım, Problem Çözme
13 Multiplication and division of fuzzy numbers 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

Update Time: 20.11.2022 10:05