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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
MATHEMATICAL LOGIC MTE735 - 3 + 0 10

TYPE OF COURSE UNITElective Course
LEVEL OF COURSE UNITDoctorate Of Science
YEAR OF STUDY-
SEMESTER-
NUMBER OF ECTS CREDITS ALLOCATED10
NAME OF LECTURER(S)-
LEARNING OUTCOMES OF THE COURSE UNIT 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 DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONA 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
WEEKTOPICS
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 READING1.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 METHODSLecture,Practice,Other
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term140
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 work1412168
Preparation for Final exam16060
Course hours14342
Preparation for Midterm exam
Laboratory (including preparation)
Final exam11,51,5
Homework12020
Total Workload291,5
Total Workload / 309,71
ECTS Credits of the Course10
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

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