Soft Computing for Complex Multiple Criteria Decision Making

by Kaliszewski, Ignacy

• ISBN13: 9780387302430
• ISBN10: 0387302433
• Format: Hardcover
• Copyright: 2006-01-30
• Publisher: Springer Verlag

Summary

There are numerous books on Multiple Criteria Decision Making. Soft Computing for Complex Multiple Criteria Decision Making concentrates on providing technical (meaning formal, mathematical, algorithmical) tools to make the user of Multiple Criteria Decision Making methodologies independent of bulky optimization computations. These bulky computations up to now have been a necessary, but limiting, characteristic of interactive MCDM methodologies and algorithms. This book removes these limitations of MCDM problems by reducing a problem's computational complexity. The book systematically applies the approximate '” soft '” treatments to major MCDM solving methodologies. As a result, it provides a wider and more functional general framework for presenting, teaching, implementing and applying a wide range of MCDM methodologies. The book seeks to provide a stimulus for a broader development and application of MCDM methods.

Table of Contents

List of Figures	xi
List of Tables	xv
Preface	xvii
Notation	xix
1. INTRODUCTION	1	(8)
2. PRELIMINARIES	9	(24)
1 This Chapter Is About...	10	(1)
2 Dominance And Efficiency	10	(4)
3 Definitions And Problem Settings	14	(10)
4 Trade-offs	24	(6)
5 Concluding Remarks	30	(1)
6 Annotated References	30	(3)
3. MCDM - BASIC TOOLS	33	(12)
1 This Chapter Is About...	33	(1)
2 Pareto Set Characterizations	34	(9)
2.1 Characterizations By Weight Manipulations	35	(5)
2.2 Characterization By Reference Point Manipulations	40	(2)
2.3 Characterization By Constraint Manipulations	42	(1)
3 Concluding Remarks	43	(1)
4 Annotated References	43	(2)
4. MCDM INTERACTIVE METHODS - AN OVERVIEW	45	(12)
1 This Chapter Is About...	45	(1)
2 MCDM Interactive Methods	46	(1)
3 Weight Method Class	47	(4)
3.1 Weight Cut Methods	47	(4)
3.2 Tchebycheff Method	51	(1)
4 Reference Point Method Class	51	(2)
5 Constraint Method Class	53	(1)
6 Concluding Remarks	53	(1)
7 Annotated References	54	(3)
5. UNIVERSAL MCDM INTERFACE	57	(12)
1 This Chapter Is About...	57	(1)
2 Towards Universal MCDM Interface	58	(7)
2.1 Weight Methods Versus Reference Point Methods	59	(10)
2.1.1 Weight Versus Reference Point Methods - Methodological Paradigms	59	(1)
2.1.2 Weight Versus Reference Point Methods - Technical Requirements	59	(6)
3 Universal Interface	65	(1)
4 Concluding Remarks	66	(1)
5 Annotated References	67	(2)
6. GENERIC INTERACTIVE MCDM SUPPORT SCHEME	69	(20)
1 This Chapter Is About...	69	(1)
2 Generic Interactive MCDM Support Scheme	69	(4)
2.1 Preference Expressing In MCDM	70	(24)
2.1.1 Expressing Absolute Preferences	70	(1)
2.1.2 Expressing Relative Preferences	70	(2)
2.1.3 Expressing Absolute And Relative Preferences	72	(1)
2.1.4 Balancing Between Absolute And Relative Preference Expressing	73	(1)
2.1.5 Firm And Non-firm Preferences	73	(1)
3 Generic Interactive MCDM Support Scheme - GIS'	73	(3)
4 Practical Example	76	(3)
5 GI S'' At Work	79	(6)
6 Concluding Remarks	85	(1)
7 Annotated References	86	(3)
7. BOUNDS ON OUTCOME COMPONENTS	89	(36)
1 This Chapter Is About...	89	(1)
2 Bounds On Efficient Outcome Components	90	(1)
3 Bounds On Pareto Set	91	(1)
4 Pareto Set Approximations	91	(3)
5 Parametric Bounds On Efficient Outcomes	94	(11)
5.1 Lower Bounds	95	(2)
5.2 Upper Bounds	97	(8)
6 Parametric Bound Dynamics	105	(2)
7 Numerical Example	107	(8)
8 Parametric Bounds When k = 2 And Z Is Rk+-convex	115	(3)
9 Controlling Parametric Bound Tightness	118	(4)
10 Concluding Remarks	122	(1)
11 Annotated References	123	(2)
8. BOUNDS ON GLOBAL TRADE-OFFS	125	(10)
1 This Chapter Is About...	125	(1)
2 Bounds On Global Trade-offs	126	(2)
3 Numerical Examples	128	(3)
4 Concluding Remarks	131	(2)
5 Annotated References	133	(2)
9. SOFT COMPUTING FOR COMPLEX MCDM PROBLEMS	135	(22)
1 This Chapter Is About...	135	(1)
2 Solving Complex MCDM Problems With Soft Computing	135	(2)
3 Applications Of Parametric Bounds To Interactive MCDM Methods	137	(10)
3.1 Optimization and Cost Effectiveness	137	(8)
3.2 Fitness	145	(1)
3.3 Versatility	145	(1)
3.4 Practical Example	146	(1)
4 Soft Computing with GIS²	147	(1)
5 GIS³ At Work	148	(6)
6 Concluding Remarks	154	(2)
7 Annotated References	156	(1)
References	157	(8)
Sources of Quotations	165	(2)
Index	167