Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 3 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | ZARİFE ZARARSIZ (zarifezararsiz@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | ZARİFE ZARARSIZ, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The aim of this course is to teach concepts such as fuzzy set, fuzzy number, alpha-cut, interval valued fuzzy set, interval valued fuzzy number, Cartesian product in fuzzy sets, triangular norm and conorm, basic connectives of fuzzy logic, fuzzy relations, defuzzification and blurring methods. In addition, the aim of this course is to teach fuzzy set operations, algebraic operations in fuzzy sets and to include important theorems, proofs and examples related to fuzzy set theory. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | By learning the concept of fuzzy sets and numbers, and the standard and nonstandard algebraic operations of fuzzy numbers, students can transform daily life problems into fuzzy numbers (sets). |
PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
| LO-2 | Learns the set F_t^h and its algebraic operations. Understands the construction of the topological structure on this concept. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
| LO-3 | Learn the concepts of triangular norm, triangular conorm, fuzzy relation and complement. |
PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
| LO-4 | Knows the definitions and properties of interval valued fuzzy sets and numbers. Learns why this set is needed. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Fuzzy set concept, fuzzy number definition, alpha-cut, interval valued fuzzy set definition, interval valued fuzzy number definition, Cartesian product in fuzzy sets, triangular norm and conorm, basic connectives of fuzzy logic, fuzzy relations, defuzzification and blurring methods, fuzzy set operations, algebraic operations on fuzzy sets | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Fuzzy Sets and Some Properties | The speech face to face |
| 2 | Alfa-cut of Fuzzy Sets | The speech face to face |
| 3 | Algebraic Operations for Fuzzy Sets | The speech face to face |
| 4 | Set F_t^h and Arithmetic Operations | The speech face to face |
| 5 | Set F_t^h and Arithmetic Operations | The speech face to face |
| 6 | Interval Valued Fuzzy Sets and Some Properties | The speech face to face |
| 7 | [alpha,beta]-Cut and Algebraic Operations of Interval Valued Fuzzy Sets | The speech face to face |
| 8 | mid-term exam | |
| 9 | [alpha,beta]-Cut and Algebraic Operations of Interval Valued Fuzzy Sets | The speech face to face |
| 10 | Triangular Norms and Conorms | The speech face to face |
| 11 | Triangular Norms and Conorms | The speech face to face |
| 12 | Fundamental Conjunctions of Fuzzy Logic | The speech face to face |
| 13 | Fundamental Conjunctions of Fuzzy Logic | The speech face to face |
| 14 | Fuzzy Relations | The speech face to face |
| 15 | Fuzzy Relations | The speech face to face |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Bulanık Mantık İlke Ve Temelleri, Nazife Baykal, Timur Beyan | |
| 2 | Bulanık Kümeler ve Uzantıları, Prof. Dr. Cengiz KAHRAMAN, Prof. Dr. Başar ÖZTAYŞİ, Prof. Dr. Sezi ÇEVİK ONAR, E-ISBN: 978-975 | |
| 3 | Bulanık Küme Teorisi, Turan Paksoy, Eren Özceylan, Nimet Yapıcı Pehlivan, NOBEL AKADEMİK YAYINCILIK, ISBN: 9786051335148. | |
| Required Course instruments and materials | ||
| Articles, books and internet resources related to the course | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 4 | 15 | 60 |
| Outside Class | |||
| a) Reading | 3 | 12 | 36 |
| b) Search in internet/Library | 3 | 12 | 36 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 2 | 7 | 14 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 5 | 6 | 30 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||