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| IST7033 | Fuzzy Logic in Statistics | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Third Cycle | | Status | Elective | | Department | DEPARTMENT of STATISTICS and COMPUTER SCIENCES | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Orhan KESEMEN | | Co-Lecturer | none | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To make students understand the basics of fuzzy probability theory, to describe some fuzzy probability densities and fuzzy Markov chains. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | learn the basic concepts of fuzzy probability theory | 1,2,6,7 | | | PO - 2 : | have the ability to calculate probability of fuzzy events | 1,2,6,7 | | | PO - 3 : | have the ability to decide under risk | 1,2,6,7 | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Fuzzy Sets, Fuzzy Arithmetic, Fuzzy Functions,Fuzzy Conditional Probability, Fuzzy Independence, Fuzzy Bayes' Formula, Discrete Fuzzy Random Variables, Continuous Fuzzy Random Variables, Functions of a Fuzzy Random Variable, Joint Fuzzy Probability Distributions, Applications of Joint Distributions, Fuzzy Markov Chains, Fuzzy Inventory Control, Fuzzy Decisions Under Risk. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Fuzzy Sets. | | | Week 2 | Fuzzy Arithmetic. | | | Week 3 | Fuzzy Functions. | | | Week 4 | Fuzzy Probability. | | | Week 5 | Fuzzy Conditional Probability. | | | Week 6 | Fuzzy independence. | | | Week 7 | Fuzzy Bayes's formula | | | Week 8 | Mid-term exam | | | Week 9 | Discrete Fuzzy Random Variables | | | Week 10 | Continuous Fuzzy Random Variables | | | Week 11 | Functions of a Fuzzy Random Variable. | | | Week 12 | Joint Fuzzy Probability Distributions | | | Week 13 | Fuzzy Markov Chains. | | | Week 14 | Fuzzy Inventory Control. | | | Week 15 | Fuzzy Decisions Under Risk. | | | Week 16 | End-of-term exam | | | |
| 1 | James J. Buckley. Fuzzy Probabilities, 2005 | | | |
| 1 | Baykal N., Beyan T. Bulanık mantık ilke ve temelleri. Bıcaklar kitabevi, Ankara, 2004. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 6 | 30/03/2010 | 1,5 | 30 | | Quiz | 10 | 27/04/2010 | 1 | 20 | | End-of-term exam | 16 | 08/06/2010 | 1,5 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 6 | 14 | 84 | | Arasınav için hazırlık | 18 | 1 | 18 | | Arasınav | 2 | 1 | 2 | | Ödev | 5 | 6 | 30 | | Kısa sınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 20 | 1 | 20 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 200 |
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