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List of Figures | ix | |
List of Tables | xi | |
Preface | xiii | |
Foreword | xvii | |
1. | Introduction | 1 |
1. | MCDM problems | 1 |
2. | Solutions of MCDM problems | 4 |
3. | Decision processes and the application of MCDM methods | 5 |
4. | Concepts of 'correct' decision making in MCDM methods | 9 |
5. | Summary and conclusions | 14 |
2. | The Meta Decision Problem in MCDM | 15 |
1. | Methodological criticism in MCDM | 15 |
1.1 | Criticism on single concepts and methods | 15 |
1.2 | The discussion on the descriptive orientation of MCDM | 19 |
1.3 | Foundations by axioms of rational behavior | 22 |
2. | The meta decision problem in MCDM | 24 |
2.1 | Formulation and foundation of the problem | 24 |
2.2 | Criteria for method selection | 25 |
2.2.1 | The suitability for a type of problem | 25 |
2.2.2 | Criteria based on solution concepts | 26 |
2.2.3 | Criteria oriented towards implementation | 28 |
2.2.4 | Criteria based on the specific decision situation | 30 |
2.3 | Scalar and multicriteria meta decision problems | 31 |
2.3.1 | Scalar evaluations of MCDM methods | 31 |
2.3.2 | Method choice as an MADM problem | 32 |
2.4 | The meta decision problem as a problem of method design | 34 |
2.4.1 | Determining the parameters of an MCDM method | 34 |
2.4.2 | Formalization of MCDM methods | 36 |
2.4.3 | A parameter optimization model | 37 |
2.5 | The problem of information acquisition | 39 |
2.5.1 | Implicit information | 40 |
2.5.2 | Explicit information | 41 |
3. | Summary and conclusions | 44 |
3. | Neural Networks and Evolutionary Learning for MCDM | 47 |
1. | Neural networks and MCDM | 47 |
1.1 | Introduction | 47 |
1.2 | The construction of neural networks working as traditional MCDM methods | 49 |
1.3 | Neural networks as an adaptive MCDM method | 54 |
2. | Evolutionary learning | 55 |
2.1 | Evolutionary algorithms and neural networks | 56 |
2.2 | Evolutionary algorithms and MCDM | 59 |
3. | Summary and conclusions | 61 |
4. | On the Combination of MCDM Methods | 63 |
1. | Introduction | 63 |
2. | Properties of MCDM methods | 69 |
3. | Properties of specific MCDM methods | 71 |
4. | Properties of neurons and neural networks | 73 |
5. | The combination of algorithms | 74 |
6. | Neural MCDM networks | 75 |
7. | Termination and runtime of the algorithm | 76 |
8. | Summary and conclusions | 77 |
5. | Loops--An Object Oriented DSS for Solving Meta Decision Problems | 79 |
1. | Preliminary remarks | 79 |
2. | Method integration, openness, and object oriented implementation | 80 |
3. | A class concept for LOOPS | 84 |
4. | Problem solving and learning from an object oriented point of view | 84 |
5. | MADM methods in LOOPS | 87 |
6. | Neural networks in LOOPS | 89 |
7. | Neural MCDM networks in LOOPS | 90 |
8. | Evolutionary algorithms in LOOPS | 91 |
9. | An extended interactive framework | 95 |
10. | Summary and conclusions | 98 |
6. | Examples of the Application of LOOPS | 99 |
1. | Some remarks on the application of LOOPS | 99 |
2. | The learning of utility functions | 100 |
3. | Stock selection | 106 |
4. | Stock price prediction and the learning of time series | 113 |
5. | Stock analysis and long-term prediction | 121 |
6. | Method learning | 124 |
7. | Meta learning | 127 |
8. | An integrated proposal for the application of LOOPS | 131 |
9. | Summary and conclusions | 132 |
7. | Critical Resume and Outlook | 135 |
References | 141 | |
Appendices | 162 | |
A | Some basic concepts of MCDM theory | 163 |
1. | Relations | 163 |
2. | Efficiency concepts and scalarizing theorems | 165 |
3. | Utility concepts and other axiomatics | 166 |
B | Some selected MCDM methods | 169 |
1. | Simple additive weighting | 169 |
2. | Achievement levels | 169 |
3. | Reference point approaches | 170 |
4. | The outranking method Promethee | 171 |
C | Neural networks | 173 |
1. | Introduction to neural networks | 173 |
2. | Neural networks for intelligent decision support | 178 |
D | Evolutionary algorithms | 181 |
1. | Introduction to evolutionary algorithms | 181 |
2. | The generalization of evolutionary algorithms | 186 |
E | List of symbols | 189 |
F | List of abbreviations | 193 |
Index | 195 |
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