1st Edition

Multiple Attribute Decision Making
Methods and Applications



ISBN 9781439861578
Published June 22, 2011 by Chapman and Hall/CRC
352 Pages - 66 B/W Illustrations

 
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Book Description

Decision makers are often faced with several conflicting alternatives. How do they evaluate trade-offs when there are more than three criteria? To help people make optimal decisions, scholars in the discipline of multiple criteria decision making (MCDM) continue to develop new methods for structuring preferences and determining the correct relative weights for criteria. A compilation of modern decision-making techniques, Multiple Attribute Decision Making: Methods and Applications focuses on the fuzzy set approach to multiple attribute decision making (MADM). Drawing on their experience, the authors bring together current methods and real-life applications of MADM techniques for decision analysis. They also propose a novel hybrid MADM model that combines DEMATEL and analytic network process (ANP) with VIKOR procedures.

The first part of the book focuses on the theory of each method and includes examples that can be calculated without a computer, providing a complete understanding of the procedures. Methods include the analytic hierarchy process (AHP), ANP, simple additive weighting method, ELECTRE, PROMETHEE, the gray relational model, fuzzy integral technique, rough sets, and the structural model. Integrating theory and practice, the second part of the book illustrates how methods can be used to solve real-world MADM problems. Applications covered in the book include:

  • AHP to select planning and design services for a construction project
  • TOPSIS and VIKOR to evaluate the best alternative-fuel vehicles for urban areas
  • ELECTRE to solve network design problems in urban transportation planning
  • PROMETEE to set priorities for the development of new energy systems, from solar thermal to hydrogen energy
  • Fuzzy integrals to evaluate enterprise intranet web sites
  • Rough sets to make decisions in insurance marketing

Helping readers understand how to apply MADM techniques to their decision making, this book is suitable for undergraduate and graduate students as well as practitioners.

Table of Contents

Introduction
Profile of Multiple Criterion Decision Making
Historical Development of Multiple Attribute Decision Making
Historical Development of Multiple Objective Decision Making
Introduction to Fuzzy Sets
Outline of this Book

PART I CONCEPTS AND THEORY OF MADM

Analytic Hierarchy Process
Eigenvalue Method
Geometric Mean Method
Linear Programming Method
Fuzzy Lambda-Max Method

Analytic Network Process and Fuzzy Analytic Network Process
Analytic Network Process
Fuzzy Analytic Network Process
A Matrix Method for Fuzzy Analytic Network Process

Simple Additive Weighting Method
Simple Additive Weighting Method
Fuzzy Simple Additive Weighting
Fuzzy Simple Additive Weighting for the Best Plan: Example of an Environment-Watershed Plan
Fuzzy Multiple Criteria Decision-Making

TOPSIS and VIKOR
TOPSIS
VIKOR
Comparing VIKOR and TOPSIS
Fuzzy TOPSIS

ELECTRE Method
ELECTRE I
ELECTRE II
ELECTRE III
ELECTRE IV

PROMETHEE Method
The Notion of the PROMETHEE Method
PROMETHEE I, II, III, IV
Example for House Selection

Gray Relational Model
Concepts of Gray System and Gray Relation
Gray Relation Model
Gray Relation for Multiple Criteria Evaluation
Example for Car Selection

Fuzzy Integral Technique
Fuzzy Integral
Hierarchical Fuzzy Integral

Rough Sets
Information System
Indiscernible Relation
Approximation of Sets and Approximation of Accuracy
Reduction of Attributes
Decision Table and Decision Rules
The Analytical Procedure of Data Analysis

Structural Model
Interpretive Structural Modeling Method
Dematel Method
Fuzzy Cognition Maps

PART II APPLICATIONS OF MADM

AHP: An Application
Introduction
Planning and Design Alternatives Evaluation Model
Case of Selecting the Engineering Service for Public Buildings
Discussions
Conclusion

A VIKOR Technique with Applications Based on DEMATEL and ANP
Introduction
A Novel Hybrid Multiple Criteria Decision Making model
Numerical Example with Applications
Discussions and Comparisons
Conclusions

TOPSIS and VIKOR: An Application
Alternative Solutions
Evaluation Criteria
Evaluation of the Alternatives
Multicriteria Optimization
Conclusions

ELECTRE: An Application
Introduction
Multiple Objective Equilibrium Network Design Problem
Modeling the Network Improvement Problem with Multiobjective Decision Making
The Model and the Solution of the Bilevel Multiobjective Network Design
The Evaluation and Group Decision Making for Network Improvement Project
Conclusions and Recommendations

PROMETEE: An Application
Introduction
Solar Thermal Energy
Solar Photovoltaics
Fuel Cells
Wind Energy
Biofuels
Geothermal Energy
Ocean Energy
Hydrogen Energy
Evaluation of New Energy-Development Alternatives
Application of AHP
Application of PROMETHEE
Conclusions


Gray Relation: An Application
Introduction
Non-additive Type Fuzzy Multicriteria Evaluation
Multicriteria Evaluation through the Fuzzy Integral
Multiple Criteria Evaluation of the Gray Relation Model
Constructing the Gray Relation Model with Non-Additive Measures
Empirical Analysis: A Case Study of Taiwan’s Junior Colleges
Problem Descriptions
Constructing a Multiple Criteria Evaluation Systems
Analysis Procedures
Analysis Results and Discussions
Conclusions
Appendices

Fuzzy Integral: An Application
Introduction
Modeling the Hierarchical Structure of the Choquet Integral
Empirical Case: Fuzzy Integral for Enterprise Intranet Web Sites
Conclusions
Appendices

Rough Sets: An Application
Introduction
Illustrative Empirical Study: A Case for Making Insurance Marketing Decisions
Study of Customer Needs and Reason for No Purchase
Empirical Result
Discussions
Conclusions
Appendices

Extending the DEMATEL Method for Group Decision Making in Fuzzy Environments
Introduction
Dematel and Fuzzy Group Decision Making
The Analytical Procedure of the Proposed Methodology
Application of the Proposed Methodology
Conclusions
Appendix

Appendix
References
Index

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Author(s)

Biography

Gwo-Hshiung Tzeng is a Distinguished Chair Professor of Kainan University, Taiwan. He received a Bachelor’s degree in business management from the Tatung Institute of Technology (1967); a Master’s degree in urban planning from Chung Hsing University (1971); and a PhD in management science from Osaka University, Japan (1977). His current research interests include statistics, multivariate analysis, networks, routing and scheduling, multiple criteria decision making, fuzzy theory, hierarchical structure analysis for application to technology management, energy, environment, transportation systems, transportation investment, logistics, location, urban planning, tourism, technology management, electronic commerce, and global supply chains. He is editor-in-chief of the International Journal of Operations Research and the International Journal of Information Systems for Logistics and Management, among others.

Jih-Jeng Huang is currently Assistant Professor of Computer Science and Information Management at Soochow University, Taiwan, and teaches research method, multivariate analysis, and capital asset and pricing models, among others. He received his PhD in Information Management from the National Taiwan University. His current research interests include multiple criteria decision making, knowledge management, behavioral economics and finance, and data analysis. He has published on these interests widely in journals and conference proceedings.