Soft Computing for Complex Multiple Criteria Decision Making (eBook)

Ignacy Kaliszewski (Autor)

eBook Download: PDF

2006 | 2006
XX, 172 Seiten
Springer US (Verlag)
978-0-387-30177-8 (ISBN)

Infos

This book concentrates on providing technical tools to make the user of Multiple Criteria Decision Making (MCDM) methodologies independent of bulky optimization computations. These bulky computations have been a necessary, but limiting, characteristic of interactive MCDM methodologies and algorithms. The book removes these limitations of MCDM problems by reducing a problem's computational complexity. The result is a wider and more functional general framework for presenting, teaching, implementing and applying a wide range of MCDM methodologies.

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"e;Daprima importa sappere di che cosa si tratta."e; ("e;The ?rst thing is to know what the talk is about"e;.) Attributed to Vilfredo Pareto. This book results from my continuous and deep interest in multiple criteria decision making (MCDM). Eleven years ago I wrote in my p- vious monograph: "e;This work results from my interest in the ?eld of vector optimization. I stumbled ?rst upon this subject in 1982 [ ... ]. I was attracted then by a gap between vector optimization used to serve as a formal model for multiple objective decision problems and the - cision problems themselves, the gap nonexistent in scalar optimization. Roughly speaking, vector optimization provides methods for ranking - cisions according to a partial order whereas decision making requires a linear ordering of decisions."e; This declaration is still valid and nothing needs to be changed. To be more speci?c, this book is a fruit of my dissatisfaction with the current state-of-the-art of MCDM. MCDM is a branch of science, whose declared ultimate goal is to provide practical tools. However, we cannot say, and this is regrettable, that all present MCDM methods and algorithms are in popular use by those who make complex decisions and for that purpose are in need of methodological or computational support.

Inhalt

Contents 7
List of Figures 11
List of Tables 14
Preface 16
Notation 18
Chapter 1 INTRODUCTION 20
Annotated References 26
Chapter 2 PRELIMINARIES 27
1. This Chapter Is About ... 28
2. Dominance and Efficiency 28
3. Definitions And Problem Settings 32
4. Trade-offs 42
5. Concluding Remarks 48
6. Annotated References 48
Chapter 3 MCDM - BASIC TOOLS 50
1. This Chapter Is About ... 50
2. Pareto Set Characterizations 51
2.1 Characterizations By Weight Manipulations 52
2.2 Characterization By Reference Point Manipulations 57
2.3 Characterization By Constraint Manipulations 59
3. Concluding Remarks 60
4. Annotated References 60
Chapter 4 MCDM INTERACTIVE METHODS - AN OVERVIEW 62
1. This Chapter Is About ... 62
2. MCDM Interactive Methods 63
3. Weight Method Class 64
3.1 Weight Cut Methods 64
3.2 Tchebycheff Method 68
4. Reference Point Method Class 68
5. Constraint Method Class 70
6. Concluding Remarks 70
7. Annotated References 71
Chapter 5 UNIVERSAL MCDM INTERFACE 74
1. This Chapter Is About ... 74
2. Towards Universal MCDM Interface 75
2.1 Weight Methods Versus Reference Point Methods 76
3. Universal Interface 82
4. Concluding Remarks 83
5. Annotated References 84
Chapter 6 GENERIC INTERACTIVE MCDM SUPPORT SCHEME 85
1. This Chapter Is About ... 85
2. Generic Interactive MCDM Support Scheme 85
2.1 Preference Expressing In MCDM 86
3. Generic Interactive MCDM Support Scheme - GIS2 89
4. Practical Example 92
5. GIS2 AtWork 95
6. Concluding Remarks 101
7. Annotated References 102
Chapter 7 BOUNDS ON OUTCOME COMPONENTS 104
1. This Chapter Is About ... 104
2. Bounds On Efficient Outcome Components 105
3. Bounds On Pareto Set 106
4. Pareto Set Approximations 106
5. Parametric Bounds On Efficient Outcomes 109
5.1 Lower Bounds 110
5.2 Upper Bounds 112
6. Parametric Bound Dynamics 120
7. Numerical Example 122
8. Parametric Bounds When k = 2 And Z Is Rk+-convex 130
9. Controlling Parametric Bound Tightness 133
10. Concluding Remarks 137
11. Annotated References 138
Chapter 8 BOUNDS ON GLOBAL TRADE-OFFS 140
1. This Chapter Is About ... 140
2. Bounds On Global Trade-offs 141
3. Numerical Examples 143
4. Concluding Remarks 146
5. Annotated References 148
Chapter 9 SOFT COMPUTING FOR COMPLEX MCDM PROBLEMS 149
1. This Chapter Is About ... 149
2. Solving Complex MCDM Problems With Soft Computing 149
3. Applications Of Parametric Bounds To Interactive MCDM Methods 151
3.1 Optimization and Cost Effectiveness 151
3.2 Fitness 159
3.3 Versatility 159
3.4 Practical Example 160
4. Soft Computing with GIS2 161
5. GIS3 At Work 162
6. Concluding Remarks 168
7. Annotated References 170
References 171
Sources of Quotations 179
Index 180

Produkt-Details

• Erscheint lt. Verlag: 7.6.2006
• Reihe/Serie: International Series in Operations Research & Management Science
• Reihe/Serie: International Series in Operations Research & Management Science
• Zusatzinfo: XX, 172 p. 48 illus.
• Verlagsort: New York
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
• Themenwelt: Technik
• Themenwelt: Wirtschaft ► Allgemeines / Lexika
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Logistik / Produktion
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
• Schlagworte: algorithm • algorithms • Complexity • computing • Engineering Economics • Kaliszewski • MCDM • Multiple Criteria Decision Making • Optimization
• ISBN-10: 0-387-30177-1 / 0387301771
• ISBN-13: 978-0-387-30177-8 / 9780387301778