Multicriteria Analysis

1 Introduction to Multi Criteria Decision Analysis

1.1 Decision Analysis

1.2 The Components of MCDA Problems

1.3 Classification of MCDA Problems

2 The Hierarchy of the Criteria

2.1 Introduction

2.2 Criteria

2.3 Constructing the Hierarchy of the Criteria

3 Solution of Discrete MCDA Problems

3.1 Introduction

3.2Dominance Method

3.3 Sequential Optimization (SO)

3.4 The e-Constraint Method (eCM)

3.5 Simple Additive Weighting (SAW)

3.6 Distance Based Methods (DBM)

3.7 The Analytic Hierarchy Process (AHP)

3.8 Other Methods

3.9 Case Studies

3.10 Discussions

4 Solution of Continuous MCDA Problems

4.1 Introduction

4.2 Dominance Method

4.3 Sequential Optimization

4.4 The e -Constraint Method

4.5 Simple Additive Weighting

4.6 Distance Based Methods

4.7 Other Methods

4.8 Case Studies

4.9 Discussions

5 Social Choice Methods

5.1 Introduction

5.2 Social Choice Methods

5.3 Case Studies

5.4 Consensus on the Results

5.5 Discussions

6 Conflict Resolution Methods

6.1 Introduction

6.2 The Nash Bargaining Solution

6.3 The Non-symmetric Nash Solution

6.4 Area Monotonic Solution

6.5 Equal Loss Solution

6.6 Kalai-Smorodinsky Solution

6.7 Case Studies

6.8 Discussions

7 MCDA Problems under Uncertainty

7.1 Introduction

7.2 Probabilistic Methods

7.3 Fuzzy Methods

7.4 Probabilistic-Fuzzy MCDA Models

7.5 Case Studies

References

Appendix 1

Index