Kaliszewski Soft Computing for Complex Multiple Criteria Decision Making

1. Auflage 2006
ISBN: 978-0-387-30177-8
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 85, 172 Seiten

Reihe: International Series in Operations Research & Management Science

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.

Autoren/Hrsg.

Kaliszewski, Ignacy

Inhaltsverzeichnis

1;Contents;7
2;List of Figures;11
3;List of Tables;14
4;Preface;16
5;Notation;18
6;Chapter 1 INTRODUCTION;20
6.1;Annotated References;26
7;Chapter 2 PRELIMINARIES;27
7.1;1. This Chapter Is About ...;28
7.2;2. Dominance and Efficiency;28
7.3;3. Definitions And Problem Settings;32
7.4;4. Trade-offs;42
7.5;5. Concluding Remarks;48
7.6;6. Annotated References;48
8;Chapter 3 MCDM - BASIC TOOLS;50
8.1;1. This Chapter Is About ...;50
8.2;2. Pareto Set Characterizations;51
8.2.1;2.1 Characterizations By Weight Manipulations;52
8.2.2;2.2 Characterization By Reference Point Manipulations;57
8.2.3;2.3 Characterization By Constraint Manipulations;59
8.3;3. Concluding Remarks;60
8.4;4. Annotated References;60
9;Chapter 4 MCDM INTERACTIVE METHODS - AN OVERVIEW;62
9.1;1. This Chapter Is About ...;62
9.2;2. MCDM Interactive Methods;63
9.3;3. Weight Method Class;64
9.3.1;3.1 Weight Cut Methods;64
9.3.2;3.2 Tchebycheff Method;68
9.4;4. Reference Point Method Class;68
9.5;5. Constraint Method Class;70
9.6;6. Concluding Remarks;70
9.7;7. Annotated References;71
10;Chapter 5 UNIVERSAL MCDM INTERFACE;74
10.1;1. This Chapter Is About ...;74
10.2;2. Towards Universal MCDM Interface;75
10.2.1;2.1 Weight Methods Versus Reference Point Methods;76
10.3;3. Universal Interface;82
10.4;4. Concluding Remarks;83
10.5;5. Annotated References;84
11;Chapter 6 GENERIC INTERACTIVE MCDM SUPPORT SCHEME;85
11.1;1. This Chapter Is About ...;85
11.2;2. Generic Interactive MCDM Support Scheme;85
11.2.1;2.1 Preference Expressing In MCDM;86
11.3;3. Generic Interactive MCDM Support Scheme - GIS2;89
11.4;4. Practical Example;92
11.5;5. GIS2 AtWork;95
11.6;6. Concluding Remarks;101
11.7;7. Annotated References;102
12;Chapter 7 BOUNDS ON OUTCOME COMPONENTS;104
12.1;1. This Chapter Is About ...;104
12.2;2. Bounds On Efficient Outcome Components;105
12.3;3. Bounds On Pareto Set;106
12.4;4. Pareto Set Approximations;106
12.5;5. Parametric Bounds On Efficient Outcomes;109
12.5.1;5.1 Lower Bounds;110
12.5.2;5.2 Upper Bounds;112
12.6;6. Parametric Bound Dynamics;120
12.7;7. Numerical Example;122
12.8;8. Parametric Bounds When k = 2 And Z Is Rk+-convex;130
12.9;9. Controlling Parametric Bound Tightness;133
12.10;10. Concluding Remarks;137
12.11;11. Annotated References;138
13;Chapter 8 BOUNDS ON GLOBAL TRADE-OFFS;140
13.1;1. This Chapter Is About ...;140
13.2;2. Bounds On Global Trade-offs;141
13.3;3. Numerical Examples;143
13.4;4. Concluding Remarks;146
13.5;5. Annotated References;148
14;Chapter 9 SOFT COMPUTING FOR COMPLEX MCDM PROBLEMS;149
14.1;1. This Chapter Is About ...;149
14.2;2. Solving Complex MCDM Problems With Soft Computing;149
14.3;3. Applications Of Parametric Bounds To Interactive MCDM Methods;151
14.3.1;3.1 Optimization and Cost Effectiveness;151
14.3.2;3.2 Fitness;159
14.3.3;3.3 Versatility;159
14.3.4;3.4 Practical Example;160
14.4;4. Soft Computing with GIS2;161
14.5;5. GIS3 At Work;162
14.6;6. Concluding Remarks;168
14.7;7. Annotated References;170
15;References;171
16;Sources of Quotations;179
17;Index;180