Multiple Criteria Decision Analysis

State of the Art Surveys

  • Salvatore Greco
  • Matthias Ehrgott
  • José Rui Figueira

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 233)

Table of contents

  1. Front Matter
    Pages i-xxxiii
  2. The History and Current State of MCDA

    1. Front Matter
      Pages 1-1
    2. Murat Köksalan, Jyrki Wallenius, Stanley Zionts
      Pages 3-17
    3. Bernard Roy
      Pages 19-39
  3. Foundations of MCDA

    1. Front Matter
      Pages 41-41
    2. Stefano Moretti, Meltem Öztürk, Alexis Tsoukiàs
      Pages 43-95
    3. Denis Bouyssou, Marc Pirlot
      Pages 97-151
  4. Outranking Methods

    1. Front Matter
      Pages 153-153
    2. José Rui Figueira, Vincent Mousseau, Bernard Roy
      Pages 155-185
    3. Jean-Pierre Brans, Yves De Smet
      Pages 187-219
    4. Jean-M. Martel, Benedetto Matarazzo
      Pages 221-282
  5. Multiattribute Utility and Value Theories

    1. Front Matter
      Pages 283-283
    2. James S. Dyer
      Pages 285-314
    3. Yannis Siskos, Evangelos Grigoroudis, Nikolaos F. Matsatsinis
      Pages 315-362
    4. Carlos A. Bana e Costa, Jean-Marie De Corte, Jean-Claude Vansnick
      Pages 421-463
  6. Non-Classical MCDA Approaches

    1. Front Matter
      Pages 465-465
    2. Theodor J. Stewart, Ian Durbach
      Pages 467-496
    3. Salvatore Greco, Benedetto Matarazzo, Roman Słowiński
      Pages 497-552
    4. Michel Grabisch, Christophe Labreuche
      Pages 553-603
    5. Helen Moshkovich, Alexander Mechitov, David Olson
      Pages 605-636
  7. Multiobjective Optimization

    1. Front Matter
      Pages 693-693
    2. Gabriele Eichfelder, Johannes Jahn
      Pages 695-737
    3. Margaret M. Wiecek, Matthias Ehrgott, Alexander Engau
      Pages 739-815
    4. Matthias Ehrgott, Xavier Gandibleux, Anthony Przybylski
      Pages 817-850
    5. Masahiro Inuiguchi, Kosuke Kato, Hideki Katagiri
      Pages 851-902
    6. Dylan Jones, Mehrdad Tamiz
      Pages 903-926
    7. Kaisa Miettinen, Jussi Hakanen, Dmitry Podkopaev
      Pages 927-976
    8. Juergen Branke
      Pages 977-1008
  8. Applications

    1. Front Matter
      Pages 1009-1009
    2. Jaap Spronk, Ralph E. Steuer, Constantin Zopounidis
      Pages 1011-1065
    3. João Clímaco, José Craveirinha, Rita Girão-Silva
      Pages 1167-1233
    4. Alec Morton, Jeffrey M. Keisler, Ahti Salo
      Pages 1269-1298
  9. MCDM Software

    1. Front Matter
      Pages 1299-1299
    2. H. Roland Weistroffer, Yan Li
      Pages 1301-1341
  10. Back Matter
    Pages 1343-1347

About this book


In two volumes, this new edition presents the state of the art in Multiple Criteria Decision Analysis (MCDA).  Reflecting the explosive growth in the field seen during the last several years, the editors not only present surveys of the foundations of MCDA, but look as well at many new areas and new applications.  Individual chapter authors are among the most prestigious names in MCDA research, and combined their chapters bring the field completely up to date.

Part I of the book considers the history and current state of MCDA, with surveys that cover the early history of MCDA and an overview that discusses the “pre-theoretical” assumptions of MCDA.  Part II then presents the foundations of MCDA, with individual chapters that provide a very exhaustive review of preference modeling, along with a chapter devoted to the axiomatic basis of the different models that multiple criteria preferences.  Part III looks at outranking methods, with three chapters that consider the ELECTRE methods, PROMETHEE methods, and a look at the rich literature of other outranking methods.

Part IV, on Multiattribute Utility and Value Theories (MAUT), presents chapters on the fundamentals of this approach, the very well known UTA methods, the Analytic Hierarchy Process (AHP) and its more recent extension, the Analytic Network Process (ANP), as well as a chapter on MACBETH (Measuring Attractiveness by a Categorical Based Evaluation Technique).  Part V looks at Non-Classical MCDA Approaches, with chapters on risk and uncertainty in MCDA, the decision rule approach to MCDA, the fuzzy integral approach, the verbal decision methods, and a tentative assessment of the role of fuzzy sets in decision analysis.

Part VI, on Multiobjective Optimization, contains chapters on recent developments of vector

and set optimization, the state of the art in continuous multiobjective programming, multiobjective combinatorial optimization, fuzzy multicriteria optimization, a review of the field of goal programming, interactive methods for solving multiobjective optimization problems, and relationships between MCDA and evolutionary multiobjective optimization (EMO).  Part VII, on Applications, selects some of the most significant areas, including contributions of MCDA in finance, energy planning problems, telecommunication network planning and design, sustainable development, and portfolio analysis.  Finally, Part VIII, on MCDM software, presents well known MCDA software packages.


Applied Probability MCDA MCDM Mathematical Programming Multiobjective Multiple Criteria Decision Analysis Operations Research Optimization Production and Operations Management

Editors and affiliations

  • Salvatore Greco
    • 1
  • Matthias Ehrgott
    • 2
  • José Rui Figueira
    • 3
  1. 1.Department of Economics and Business; Portsmouth Business School, Operations & Systems ManagementUniversity of Catania; University of PortsmouthCatania; PortsmouthItaly
  2. 2.Department of Management ScienceLancaster UniversityLancasterUnited Kingdom
  3. 3.Universidade de LisboaCEG-IST, Instituto Superior TécnicoLisboaPortugal

Bibliographic information