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Mathematics - Applications | Multicriteria Analysis - Applications to Water and Environment Management

Multicriteria Analysis

Applications to Water and Environment Management

Zarghami, Mahdi, Szidarovszky, Ferenc

2011, XI, 159 p.

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  • Introduces and discusses modeling concepts and mathematical methodology with simple classroom-viable numerical examples
  • Includes case studies to illustrate applications
  • Case studies cover an array of issues such as project selection, urban water management, water allocation, groundwater quality, forestry treatment selection, water distribution network design, and long-term watershed management
  • Studies from Hungary, India, Iran, Mexico, USA and Vietnam add international perspective

Multicriteria analysis is one of the most important fields of decision science. This book gives an outline of the formulation of an appropriate model and presents a comprehensive summary of the most popular methods for solving multicriteria decision problems. In addition to the classical approach the book introduces fuzzy and stochastic methodology, models with uncertainty, social choice and conflict resolution. All methods are illustrated with easy to follow simple examples. At the end of each chapter detailed case studies are given in water and environment management including inter-basin water transfer, urban water management, water allocation, groundwater quality management, forest treatment, ranking water resources projects, reservoir planning, water distribution network design and long-term watershed management. The new methodology and the wide variety of case studies are not easily accessible elsewhere.

Content Level » Graduate

Keywords » Criteria - Multi criteria analysis - Optimization - Uncertainty modeling - Water Management

Related subjects » Applications - Civil Engineering - Earth System Sciences - Game Theory / Mathematical Methods - Information Systems and Applications - Pollution and Remediation

Table of contents 

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 ε-Constraint Method (εCM)

 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 ε-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

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