At the end of this course, the students; 1) Understands fuzzy logic, fuzzy relations, Boolean and Lukasiewcz algebra for logic. 2) Compares the classical and fuzzy logic. 3) Gives examples to fuzzy set. 4) Explains the functional systems in fuzzy logic theory.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
A brief look of to the history of logic; Translation from two-value logic to multiple value logic; Thoughts that rocked mathematics in the 20th century; Fuzzy logic; Fuzzy relations, Boolean and Lukasiewicz algebra for logic; Fuzzy set theory; Functional systems in fuzzy logic theory.
COURSE CONTENTS
WEEK
TOPICS
1st Week
A brief look of to the history of logic
2nd Week
Translation from two-value logic to multiple value logic
3rd Week
Thoughts that rocked mathematics in the 20th century
4th Week
Fuzzy logic
5th Week
The classical and fuzzy logic and interrelations these notions
6th Week
Fuzzy relations
7th Week
Boolean and Lukasiewicz algebra for logic
8th Week
Countable and uncountable sets
9th Week
Axioms of choice
10th Week
Fuzzy set theory
11th Week
Functional systems in fuzzy logic theory.
12th Week
Fuzzy functions and their properties
13th Week
General Applications
14th Week
General Review
15th Week
RECOMENDED OR REQUIRED READING
1.Fuzzy sets, Fuzzy logic, Applications, G.Bojadziev, World Scientific, 1995. 2.Mathematics of fuzzy sets, Logic, Topology and Measure Theory, U.Höhle and S.E.Rodabough, 1999.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Practice,Other
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
40
Total(%)
40
Contribution of In-term Studies to Overall Grade(%)
40
Contribution of Final Examination to Overall Grade(%)
60
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
Preparation for Quiz
Individual or group work
14
12
168
Preparation for Final exam
1
60
60
Course hours
14
3
42
Preparation for Midterm exam
Laboratory (including preparation)
Final exam
1
1,5
1,5
Homework
1
20
20
Total Workload
291,5
Total Workload / 30
9,71
ECTS Credits of the Course
10
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)