Multi-criteria Decision Analysis

Alessio Ishizaka Reader in Decision Analysis, Portsmouth Business School, University of Portsmouth, UK Philippe Nemery Senior Research Scientist, SAP Labs – China, Shanghai, PRC

Foreword xi

Acknowledgements xiii

1 General introduction 1

1.1 Introduction 1

1.2 Decision problems 3

1.3 MCDA methods 4

1.4 MCDA software 5

1.5 Selection of MCDA methods 5

1.6 Outline of the book 8

References 9

Part I FULL AGGREGATION APPROACH 11

2 Analytic hierarchy process 13

2.1 Introduction 13

2.2 Essential concepts of AHP 13

2.3 AHP software: MakeItRational 20

2.4 In the black box of AHP 27

2.5 Extensions of AHP 40

References 54

3 Analytic network process 59

3.1 Introduction 59

3.2 Essential concepts of ANP 59

3.3 ANP software: Super Decisions 68

3.4 In the black box of ANP 76

References 80

4 Multi-attribute utility theory 81

4.1 Introduction 81

4.2 Essential concepts of MAUT 81

4.3 RightChoice 89

4.4 In the black box of MAUT 97

4.5 Extensions of the MAUT method 98

References 112

5 MACBETH 114

5.1 Introduction 114

5.2 Essential concepts of MACBETH 114

5.3 Software description: M-MACBETH 122

5.4 In the black box of MACBETH 131

References 133

Part II OUTRANKING APPROACH 135

6 PROMETHEE 137

6.1 Introduction 137

6.2 Essential concepts of the PROMETHEE method 137

6.3 The Smart Picker Pro software 149

6.4 In the black box of PROMETHEE 160

6.5 Extensions of PROMETHEE 170

References 177

7 ELECTRE 180

7.1 Introduction 180

7.2 Essentials of the ELECTRE methods 180

7.3 The Electre III-IV software 189

7.4 In the black box of ELECTRE III 194

7.5 ELECTRE-Tri 204

References 210

Part III GOAL, ASPIRATION OR REFERENCE-LEVEL APPROACH 213

8 TOPSIS 215

8.1 Introduction 215

8.2 Essentials of TOPSIS 215

References 221

9 Goal programming 222

9.1 Introduction 222

9.2 Essential concepts of goal programming 222

9.3 Software description 227

9.4 Extensions of the goal programming 228

References 234

10 Data Envelopment Analysis 235
Jean-Marc Huguenin

10.1 Introduction 235

10.2 Essential concepts of DEA 236

10.3 The DEA software 252

10.4 In the black box of DEA 262

10.5 Extensions of DEA 268

References 270

Part IV INTEGRATED SYSTEMS 275

11 Multi-method platforms 277

11.1 Introduction 277

11.2 Decision Deck 278

11.3 DECERNS 278

References 287

Appendix: Linear optimization 288

A.1 Problem modelling 288

A.2 Graphical solution 289

A.3 Solution with Microsoft Excel 289

Index 293