TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENS441 |
| Name | Introduction to Fuzzy Set Theory |
| Term | 2020-2021 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 | Uzaktan Öğretim |
| Catalog Information Coordinator | Doç. Dr. EBRU YILMAZ |
| Course Instructor |
Doç. Dr. EBRU YILMAZ
(Güz)
(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 and probability concepts, 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
Yok
Resources
Notes
ŞEN, Z., 2004, Mühendislikte Bulanık (Fuzzy) Mantık ile Modelleme Prensipleri, Su Vakfı Yayınları, İkinci Baskı, İstanbul, 195 sayfa.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the differences between fuzziness and probability concepts. |
| LO02 | Explains basic characteristics of fuzzy systems. |
| LO03 | Expresses membership function concept and its parts. |
| LO04 | Expresses how to assign membership degrees to create a fuzzy system. |
| LO05 | Distinguishes the differences between fuzzy sets and classical sets. |
| LO06 | Defines fuzzy mathematics. |
| LO07 | Calculates addition, subtraction, multiplication and division of fuzzy numbers. |
| LO08 | Expresses the basic operations related to fuzzy mathematical model. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Adequate knowledge in mathematics, science and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 5 |
| PLO02 | - | An ability to identify, formulate, and solve complex industrial engineering problems; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO03 | - | An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | 3 |
| PLO04 | - | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | 3 |
| PLO05 | - | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics. | 3 |
| PLO06 | - | Ability to work effectively in disciplinary and multidisciplinary teams; self-study skills. | 3 |
| PLO07 | - | Ability to communicate effectively in Turkish presentation and in writing; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instruction and receiving skills. | 3 |
| PLO08 | - | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and constantly renew oneself. | 3 |
| PLO09 | - | To act in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications. | 5 |
| PLO10 | - | Information on business practices such as project management, risk management and change management; awareness about entrepreneurship and innovation; information on sustainable development. | 3 |
| PLO11 | - | Information about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems reflected in the engineering field of the age; awareness of the legal consequences of engineering solutions. | 3 |
| PLO12 | - | Ability to make use of the power of effective communication in professional life, to interpret the developments correctly and to make decisions. | 3 |
| PLO13 | - | Ability to design, develop, implement and improve integrated systems including machinery, time, information and money. | 4 |
| PLO14 | - | Ability to design, develop, implement and improve complex product, process, business, system design by applying modern design methods under realistic conditions and constraints such as cost, environment, sustainability, productivity, ethics, health, safety and political issues. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Fuzziness and probability concepts | Reading the resources related to the section | |
| 2 | Basic characteristics of fuzzy systems | Reading the resources related to the section | |
| 3 | Basic characteristics of fuzzy systems | Reading the resources related to the section | |
| 4 | Membership functions | Reading the resources related to the section | |
| 5 | Membership functions | Reading the resources related to the section | |
| 6 | Parts of membership functions | Reading the resources related to the section | |
| 7 | Assignment of membership degrees | Reading the resources related to the section | |
| 8 | Mid-Term Exam | The preparation for the midterm exam | |
| 9 | Classical and fuzzy sets | Reading the resources related to the section | |
| 10 | Fuzzy set operations | Reading the resources related to the section | |
| 11 | Fuzzy mathematics, Addition and subtraction of fuzzy numbers | Reading the resources related to the section | |
| 12 | Multiplication and division of fuzzy numbers | Reading the resources related to the section | |
| 13 | Cluster relations | Reading the resources related to the section | |
| 14 | Cluster relations | Reading the resources related to the section | |
| 15 | Defuzzification | Reading the resources related to the section | |
| 16 | Term Exams | The preparation for the final exam | |
| 17 | Term Exams | The preparation for the final exam |
Assessment (Exam) Methods and Criteria
| 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 | ||