Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  İST311  FUZZY PROBABILITY AND STATISTICS  Elective  3  5  4 

Level of Course Unit 
First Cycle 
Objectives of the Course 
Fuzzy logic models human logic inference systems in a linear and uncomplicated manner. In the course, fundamentals of fuzzy logic are mentioned. Moreover, statistical methods that are developed with the use of fuzzy logic are presented. 
Name of Lecturer(s) 
Doç. Dr. Ali MERT 
Learning Outcomes 
1  To learn the fundamentals of fuzzy logic  2  To learn the difference between fuzzy and classical statistical methods.
 3  To learn how fuzzy statistical methods are applied. 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 

Recommended Optional Programme Components 

Course Contents 
Fuzzy sets and their statement types. Membership functions and their types. Definition of fuzzy number and its statement types. Operations on fuzzy sets and fuzzy arithmetic. Defuzzification methods. Fuzzy linear programming problem and its solution methods. Systems operating with fuzzy rules. Fuzzy probability theory. Fuzzy random variable and its types. Fuzzy estimators of population parameters. Fuzzy hypotheses test. Fuzzy regression analysis. Recent applications concerning fuzzy systems. 
Weekly Detailed Course Contents 

1  Recent Applications Concerning Fuzzy Systems    2  Fuzzy Sets and Fundamental Definitions    3  Membership Functions and Types of Fuzzy Number.    4  Operations on Fuzzy Set and Fuzzy Arithmetic    5  Defuzzification Strategies.    6  Fuzzy Linear Programming    7  Fuzzy Linear Programming    8  MidTerm    9  Fuzzy RuleBased Systems    10  Fuzzy Probability Theory    11  Discrete Fuzzy Random Variables    12  Continuous Fuzzy Random Variables    13  Fuzzy Estimator of Population Parameters    14  Fuzzy Hypotheses Test    15  Fuzzy Hypotheses Test    16  Fuzzy Regression Analysis   

Recommended or Required Reading 
J.J. Buckley, Fuzzy Probability and Statistics, Springer – Verlag Berlin, 2006.
H.T. Nguyen and B. Wu, Fundamentals of Statistics with Fuzzy Data, Springer – Verlag Berlin, 2006.
D. Dubois and H. Prade (edt.), Fundamentals of Fuzzy Sets, Kluwer Academic Publishers, 2000.

Planned Learning Activities and Teaching Methods 

Assessment Methods and Criteria  
Midterm Examination  1  65  Project Presentation  1  35  SUM  100  
Final Sınavı  1  100  SUM  100  Term (or Year) Learning Activities  40  End Of Term (or Year) Learning Activities  60  SUM  100 
 Language of Instruction  Lisan Kodları  Work Placement(s)  

Workload Calculation 