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Addressing the Weaknesses of Multi-Criteria Decision-Making Methods using Python

by Semra Erpolat Tasabat (Author) Tuğba KIRAL ÖZKAN (Author) Olgun Aydın (Author)
©2024 Monographs 156 Pages

Summary

The book aims to draw attention to the weaknesses in Multi-Criteria Decision-Making (MCDM) methods and provide insights to improve the decision-making process. By addressing these weaknesses, it seeks to enhance the accuracy and effectiveness of MCDM methods in selecting the best alternatives in various fields. The book covers popular MCDM methods such as TOPSIS, ELECTRE, VIKOR, and PROMETHEE. It compares traditional methods with the proposed modified Human Development Index (HDI) data using Python code examples. The target audience for the book includes computer scientists, engineers, business, and financial management professionals, as well as anyone interested in MCDM and its applications.

Table Of Contents

  • Cover
  • Title
  • Copyright
  • About the author
  • About the book
  • This eBook can be cited
  • Table of Contents
  • List of Abbreviations
  • List of Figures
  • List of Tables
  • Introduction
  • Chapter 1 Decision-Making and Multi-Criteria Decision-Making
  • Decision-Making
  • Phase 1: Intelligence
  • Phase 2: Design
  • Phase 3: Choice
  • Phase 4: Implementation
  • Classification of Decision-Making
  • According to the Amount of Information Possessed
  • Decision-Making Under Certainty
  • Decision-Making Under Risk
  • Decision-Making Under Uncertainty
  • The Criterion of Optimism (Maximax)
  • The Criterion of Pessimism (Maximin)
  • The Criterion of Realism (Hurwicz)
  • The Criterion of Regret (Savage)
  • The Criterion of Equal Likelihood (Laplace)
  • Decision-Making Under Partial Information
  • Decision-Making in Competitive Situations
  • Classification of Decision Types
  • Level of Decision
  • Type of Decision
  • The Number of Decision Makers
  • Types of Decision-Making Models
  • Rational Decision-Making Model
  • Intuitive Decision-Making Model
  • Creative Decision-Making Model
  • Recognition-Primed Decision-Making Model
  • Types of Decision-Making Problem
  • Decision Problem and Its Characteristics
  • Multi-Criteria Decision-Making
  • Analyzing MCDM Methods
  • Strengths of MCDM Methods
  • Weaknesses of MCDM Methods
  • Chapter 2 Commonly Applied MCDM Methods
  • ELECTRE
  • Steps of ELECTRE III
  • PROMETHEE
  • Steps of PROMETHEE II
  • TOPSIS
  • Steps of TOPSIS
  • VIKOR
  • Steps of VIKOR
  • Chapter 3 Weaknesses of MCDM Methods
  • Weaknesses of MCDM Methods
  • Determining the Method for Reducing the Decision Matrix to the Same Unit
  • Normalization
  • Standardization
  • Selection of Appropriate Standardization Method
  • Determining the Weight Assignment Method
  • Saaty’s Method
  • Best-Worst Method
  • Equal Weights Method
  • Determining the Measurement Method
  • Determining the Ranking Method
  • Related Studies
  • Chapter 4 Investigation of the Weaknesses of MCDM Methods
  • Human Development Index
  • Data Sources
  • Steps to Calculate the Human Development Index
  • Methodology Used to Express Income
  • Estimating Missing Values
  • Human Development Categories
  • Human Development Index Aggregates
  • Inequality-Adjusted Human Development Index
  • Data Sources
  • Steps to Calculate the Inequality-adjusted Human Development Index
  • Coefficient of Human Inequality
  • Notes on Methodology and Caveats
  • Survey on Weaknesses of MCDM Methods
  • ELECTRE: Normalization vs. Standardization
  • Application for Traditional ELECTRE vs. Modified ELECTRE
  • Normalization vs. Standardization
  • Traditional ELECTRE III: Normalization
  • Modified ELECTRE III: Standardization
  • Comparison of Results (Top 10)
  • PROMETHEE: Differentiation of Weighting Method
  • Traditional PROMETHEE
  • Modified PROMETHEE
  • Application for Traditional PROMETHEE vs Modified PROMETHEE
  • Differentiation of Weighting Method
  • Traditional PROMETHEE
  • Modified PROMETHEE
  • Comparison of Results
  • TOPSIS: Differentiation of Measurement Method
  • Traditional TOPSIS
  • Modified TOPSIS
  • L𝑝 Minkowski Family
  • Application for Traditional TOPSIS vs. Modified TOPSIS
  • Differentiation of Measurement Method
  • Traditional TOPSIS: Euclidean Distance
  • Modified TOPSIS: Chebyshev Distance
  • Comparison of Results (Top 10)
  • VIKOR: Differentiation of Sorting Criteria
  • Traditional VIKOR
  • Modified VIKOR
  • Application for Traditional VIKOR vs. Modified VIKOR
  • Differentiation of Sorting Criteria
  • Traditional VIKOR (v=0.5)
  • Modified VIKOR ( v*=0.6 assumed)
  • Comparison of Results (Top 10)
  • Conclusion and Suggestions
  • References
  • Appendix  Comparison of Traditional and Modified Methods Results

List of Tables

Table 1.1:The Key Differences Between Single Criterion and Multi-Criteria Decision-Making

Table 1.2:The Decision Matrix

Table 1.3:Comparison of MODM and MADM

Table 3.1:The Fundamental Scale of Absolute Numbers

Table 3.2:Values of the RI for Small Problems

Table 3.3:Consistency Index (CI) Table

Table 4.1:Minimum and Maximum Values

Table 4.2:Calculation of Guyana HDI Value

Table 4.3:Cutoff Points of the HDI for Grouping Countries

Table 4.4:Calculation of Kazakhstan HDI and IHDI Values

Table 4.5:Inequality-Adjusted HDI Data (2021)

Table 4.6:Countries Without an IHDI Value (2021)

Table 4.7:Countries Whose IHDI Values Were Calculated (2021).

Table 4.8:Comparison of Traditional and Modified ELECTRE III Results

Table 4.9:Comparison of Traditional and Modified PROMETHEE Results

Table 4.10:Comparison of Traditional and Modified TOPSIS Results

Table 4.11:Comparison of Traditional and Modified VIKOR Results

Table 4.12:Comparison of Traditional and Modified Results of ELECTRE, TOPSIS, PROMETHEE and VIKOR Methods

Introduction

The book titled “Addressing the Weaknesses of Multi-Criteria Decision-Making Methods Using Python” aims to address the weaknesses of Multi-Criteria Decision-Making (MCDM) methods used in various aspects of decision-making. The book is divided into four chapters.

Chapter 1: Decision-Making and Multi-Criteria Decision-Making (Introduction): The first part of the book provides general information about decision-making and MCDM. It sets the foundation for understanding the concepts and principles behind MCDM methods.

Chapter 2: Some of The Most Popular MCDM Methods: The second section elaborates on the most commonly used and basic MCDM methods. It discusses how to compute the measurement value, decide on a weighting strategy, reduce the decision matrix to a single unit, and sort the outcomes using these methods. The book makes clear that any MCDM method can provide different outcomes if at least one of these weaknesses is used.

Chapter 3: Weaknesses of MCDM Methods: The third section of the book focuses on the weaknesses mentioned in the previous section. It provides a detailed analysis of how these weaknesses can impact the outcomes of MCDM methods. The book emphasizes the importance of recognizing and addressing these weaknesses to improve decision-making processes.

Chapter 4: Investigation of The Weaknesses of MCDM Methods: In the final section, the book introduces modified methods that aim to overcome the weaknesses identified in the previous sections. These new methods are developed based on the insights gained from analyzing the weaknesses of existing MCDM methods. The Inequality-adjusted Human Development Index (IHDI) data will be used to demonstrate the working of both traditional and modified versions of them.

The book aims to draw attention to the weaknesses in MCDM methods and provide insights into improving decision-making processes. By addressing these weaknesses, it seeks to enhance the accuracy and effectiveness of MCDM methods in selecting the best alternatives in various domains.

Chapter 1 Decision-Making and Multi- Criteria Decision-Making

In this section, we are going to provide insight and details into the decision-making process and then we are going to handle this process from a multi-criteria perspective.

1.1. Decision-Making

Decision-making is the process of selecting the most appropriate option from a range of choices to achieve specific objectives set by the decision makers.

It is a multi-step process we engage in regularly. According to (Simon, 1977), managerial decision-making aligns with the broader managerial process, which encompasses functions like planning, organizing, and controlling. These functions involve addressing questions such as what needs to be done, when, where, and by whom (Sharda, Delen, & Turban, 2013).

While the number of steps may vary depending on the source, the core stages typically include “defining, identifying, and development”. Additional steps can be incorporated to expand the process when necessary.

Details

Pages
156
Publication Year
2024
ISBN (PDF)
9783631913376
ISBN (ePUB)
9783631923412
ISBN (Softcover)
9783631913345
DOI
10.3726/b22103
Language
English
Publication date
2024 (August)
Keywords
Multi-Criteria decision-Making social indicators Python human development index ELECTRE TOPSIS VIKOR PROMETHEE
Published
Berlin, Bern, Bruxelles, New York, Oxford, Warszawa, Wien, 2024. 156 pp., 16 fig. col., 2 fig. b/w, 18 tables
Product Safety
Peter Lang Group AG

Biographical notes

Semra Erpolat Tasabat (Author) Tuğba KIRAL ÖZKAN (Author) Olgun Aydın (Author)

Semra Erpolat Tasabat completed her education in Statistics, earning her Ph.D. from Mimar Sinan Fine Arts University and Marmara University. She has been a full-time lecturer at Mimar Sinan Fine Arts University. Dr. Tas, abat has made significant contributions to the field of statistics and decision methods, and her expertise is evident through her academic appointments and research activities. Tug˘ba Kıral Ozkan is a full-time lecturer at Bahces, ehir University. She received her Ph.D. in Operations Research from Marmara University, Institute of Social Sciences. Her research interests include measurement and evaluation, optimization methods, and multi-criteria decision-making. She has published scientific journals and conference papers on optimization, multi-criteria decision-making, social network analysis, statistical data analysis, and machine learning. She offers research methods and statistical data analysis courses in undergraduate and graduate programs at BAU. Olgun Aydın holds a Ph.D. and is an expert in the field of deep learning, statistics, and machine learning. He works as an Assistant Professor at Gdansk University of Technology in Poland. Dr. Aydin is the author and co-author of several R packages. He is passionate about sharing his expertise in data science and is actively involved in the Why R? Foundation and the Polish Artificial Intelligence Society.

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