COURSE INTRODUCTION AND APPLICATION INFORMATION Code Course Name Decision Theory Pre-requisites ENM 442 : Course Language : Course Type(CompulsoryElective) : Course Level : Course Coordinator Course Lecturers Course Assistants : : : : Course Objective : Course Learning Outcomes : 8 3 ECTS Credit 4.5 Probability English Elective Undergaduate Refail Kasımbeyli Refail Kasımbeyli Emine Akyol The objectives of this course are to familiarize students with the introductory knowledge on modelling, analysis and solution approaches for decision making situations under uncertainty, under risk, under certainty and in situations with multiple criteria. The students: will be able to analyze problems faced in certainty, uncertainty and risk environments, will be able to develop decision trees to find rational solutions for problems under uncertainty and risk environments, will be able to calculate the value of information, will be able to use fundamentals of the utility theory, will be able to analyze different solution aspects of multicriteria problems, will be able to use scalarization methods for solving multicriteria problems will be able to use fundamental approaches of goal programming. This course is one of the basic sections of Operations Research, which studies a rational process for selecting the best of several alternatives. The “goodness” of a selected alternative depends on the quality of the data used in describing the decision situation. From this standpoint, a decision-making process can fall into one of three categories. 1. Course Content (Short definition) Semester Lesson (hour/week) Application (hour/week) Laboratory (hour/week) 2. 3. 4. Decision-making under uncertainty in which the data cannot be assigned relative weights that represent their degree of relevance in the decision process. Decision-making under risk in which the data can be described by probability distributions. Decision-making under certainty in which the data are known deterministically. Decision making in multicriteria environment. The main subjects of the course are the decision situation, decision rule, decision trees, information and the cost of additional information, utility theory, mult-objective problems, solution notions for such problems and methods for calculations efficient solutions for multi-objective problems, goal programming and the methods of analyzing solutions for goal programming problems. WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES Week Subjects 1 Introduction to Decision Theory. Decision Environments. Elementary Decision Analysis. 2 Classification of decision problems. Choosing a Decision Rule. 3 Decision making under uncertainty. 4 Decision making under risk. 5 Utility theory. Single-attribute utility. 6 Utility functions for non-monetary attributes. The axioms of utility. 7 Attitudes towards risk. 8 Decision Trees. The use of decision trees in environments under certainty, under uncertainty and under risk. 9 Perfect and imperfect information. Expected value of sampling information. 10 Using additional information. 11 Decision making in multicriteria environment. Order relations. Various concepts of solutions in multiobjective optimization. 12 Scalarization methods in mult-objective optimization 13 Intoduction to Goal Programming. Linearization of goal programming problems. 14 Geometrical interpretation of solutions in goal programming. Examples on Goal Programming Related Preparation Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 1. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 2. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 2. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 2. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 3. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 3. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 3. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 4. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 4. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 4. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 5. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 5. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 5. Refail Kasımbeyli, Lecture Notes on Decision Theory, Chapter 5. SOURCES : Course Notes Refail Kasımbeyli, Lecture Notes on Decision Theory, Izmir University of Economics, 2011. : 1. Paul Goodwin, George Wright, Decision Analysis for Management Judgment, Third Edition, John Wiley & Sons, Ltd., 2004, ISBN: 0-470-86108-8. 2. Robert T. Clemen, Terence Reilly, Making Hard Decisions With Decision Tools, Duxbury Thomson Learning, 2001; ISBN-13: 978-0-495-01508-6; ISBN-10: 0495-01508-3. 3. Wayne L. Winston, Operations Research. Applications and Algorithms, Duxbury Press, Belmont, California, 1994. 4. Frederick S. Hillier, Gerald J. Lieberman, Introduction to Operations Research, Ninth Edition, 2010 Mc Graw-Hill, ISBN 978 0-07-337629-5. Other Sources 5. Hamdy A. Taha, Operations Research. An Introduction, , Sixth Edition, 1997, Prentice-Hall, ISBN 0-13-281172-3. 6. Vira Chankong and Yacov Y. Haimes, Multiobjective Decision Making: Theory and Methodology, Elsevier Publishing Co., Inc., New York, 1983. 7. Johannes Jahn, Basic Concepts of Vector Optimization, in T. Gal, T. Hanne, T. Stewart, Advances in MCDM (Kluwer), 1998. 8. Howard Raiffa, Decision Analysis, ISBN:0201062909. Presentation Exams EVALUATION SYSTEM SEMESTER REQUIREMENTS SAYISI/ NUMBER KATKI PAYI/ PERCENTAGE OF GRADE 5 2 10 10 1 1 40 40 100 60 40 100 Attendance Lab Application Field Work Special Course Internship Homework Assignments Quiz Project Seminar Mid-Terms Final TOTAL PERCENTAGE OF SEMESTER WORK PERCENTAGE OF FİNAL EXAM TOTAL COURSE CATEGORY Course Category (Only one category will be chosen) Core Courses Major area courses Supportive Courses Media and management skills courses Transferable skill courses X