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.

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