Skip to main content

Comparison of MCDA Paradigms

  • Chapter
Advances in Decision Analysis

Part of the book series: Mathematical Modelling: Theory and Applications ((MMTA,volume 4))

Abstract

The underlying concepts of MAUT, SMART, AHP, preference cones, ZAPROS, and outranking methods are compared. Learning systems are considered. The learning view is that decision makers initially do not fully understand all of the criteria that are important. Therefore, rather than uncovering an underlying utility function, what must be uncovered are the full ramifications involved in selecting one alternative over another. This paradigm can involve an evolutionary problem, where criteria can be added or discarded during the analysis. Methods are also reviewed with respect to their psychological validity in generating input data. Past experiments conducted by the authors are reviewed, with conclusions drawn relative to subject comfort in using each method. Subjects typically make errors, in that they have inconsistent ratings of scores across systems, and will occasionally have reversal of relative importance of criteria across systems. This emphasizes the need to be careful of input in decision models, and strengthens the argument for more robust input information. Furthermore, systems based on the same model have been found to yield different results for some. In a study exposing both US and Russian students were compared. Each group found it more comfortable to use systems developed within their own culture.

The concept that seems most attractive is that the analysis needs to focus on the decision maker learning about tradeoffs. A major problem with utility based and outranking methods is that decision makers might consider a wide variety of criteria, but both practicality and mathematics show that only a relatively small set of criteria are really going to matter. Learning methods allow decision makers to focus on these critical criteria and their tradeoffs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Barzilai, J., Cook, W., and Golanyi, B. (1987) Consistent Weights for Judgements Matrices of the Relative Importance for Alternatives. Operations Research Letters 6: 3, 131–134.

    Article  MathSciNet  MATH  Google Scholar 

  • Belton, V. and Gear, T. (1983) On a Short-Coming of Saaty’s Method of Analytic Hierarchies, Omega 11:3, 228–230.

    Google Scholar 

  • Brans, J.P. and Vincke, P. (1985) A Preference Ranking Organization Method: The PROMETHEE Method. Management Science 31, 647–656.

    Article  MathSciNet  MATH  Google Scholar 

  • De Keyser, Wim and Peeters, P. (1996) A Note on the Use of PROMETHEE Multicriteria Methods, European Journal of Operational Research 89, 457–461.

    Article  MATH  Google Scholar 

  • Dyer, J. S. (1990) Remarks on the Analytic Hierarchy Process, Management Science 36:3, 249–258.

    Google Scholar 

  • Dyer, J.S. and Sarin, R.K. (1979)Measurable Value Functions. Operations Research 27, 810–822.

    Google Scholar 

  • Edwards, W., and Barron, F.H. (1994) SMARTS and SMARTER: Improved Simple Methods for Multiattribute Utility Measurement., Organizational Behavior and Human Decision Processes 60, 306–325.

    Article  Google Scholar 

  • Keeney, R.L., and Raiffa, H. (1976) Decisions with Multiple Objectives: Preferences and Value Tradeoffs. John Wiley & Sons, New York.

    Google Scholar 

  • Korhonen, P. (1988) A Visual Reference Direction Approach to Solving Discrete Multiple Criteria Problems. European Journal of Operational Research 34:2, 1988, 152–159.

    MATH  Google Scholar 

  • Korhonen, P., Wallenius, J., and Zionts, S. (1984) Solving the Discrete Multiple Criteria Problem Using Convex Cones. Management Science 30:11, 1336–1345.

    Google Scholar 

  • Larichev, O.I., and Moshkovich, H.M. (1991) ZAPROS: A Method and System for Ordering Multiattribute Alternatives on the Base of a Decision-Maker’s Preferences. All-Union Research Institute for Systems Studies, Moscow.

    Google Scholar 

  • Larichev, O.I., and Moshkovich, H.M. (1995) ZAPROS-LM: A Method and System for Rank-Ordering of Multiattribute Alternatives. European Journal of Operational Research 82, 503–521.

    Article  MATH  Google Scholar 

  • Larichev, O.I., Olson, D.L., Moshkovich, H.M., and Mechitov, A.I. (1995) Numeric vs. Cardinal Measurements in Multiattribute Decision Making: (How Exact is Enough?), Organizational Behavior and Human Decision Processes 64, 9–21.

    Article  Google Scholar 

  • Lootsma, F A (1993) Scale Sensitivity in a Multiplicative Variant of the AHP and SMART. Journal of Multi-Criteria Decision Analysis 2, 87–110.

    Article  MATH  Google Scholar 

  • Loin, V., Stewart, T.J., and Zionts, S. (1992) An Aspiration-Level Interactive Model for Multiple Criteria Decision Making. Computers and Operations Research 19:7, 671–681.

    Google Scholar 

  • Olson, D.L., Moshkovich, H.M., Schellenberger, R., and Mechitov, A.I. (1996) Consistency and Accuracy in Decision Aids: Experiments with Four Multiattribute Systems, Decision Sciences 26, 723–748.

    Article  Google Scholar 

  • Roy, B. (1968) Classement et choix en presence de critères multiples. RIRO 8, 57–75.

    Google Scholar 

  • Roy, B., and Mousseau, V. (1996) A Theoretical Framework for Analysing the Notion of Relative Importance of Criteria. Journal of Multi-Criteria Decision Analysis 5, 145–159.

    Article  MATH  Google Scholar 

  • Roy, B., and Vanderpooten, D. (1996) Response to F.A. Lootsma’s Comments on our Paper The European School of MCDA: Emergence, Basic Features and Current Works Journal of Multi-Criteria Decision Analysis 5, 165–166.

    Article  Google Scholar 

  • Saaty, T.L. (1980) The Analytic Hierarchy Process. McGraw-Hill International, New York.

    MATH  Google Scholar 

  • Saaty, T.L. (1986) Axiomatic Foundations of the Analytic Hierarchy Process, Management Science 32:7, 841–855.

    Google Scholar 

  • Vanderpooten, D. (1990) The Interactive Approach in MCDA: A Technical Framework and Some Basic Conceptions. Mathematical and Computer Modelling 12, 1213–1220.

    Article  Google Scholar 

  • Watson, S. R. and Freeling, A. N. S. (1982) Assessing Attribute Weights, Omega 10:9, 582–583

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Olson, D.L., Mechitov, A.I., Moshkovich, H. (1999). Comparison of MCDA Paradigms. In: Meskens, N., Roubens, M. (eds) Advances in Decision Analysis. Mathematical Modelling: Theory and Applications, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0647-6_7

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0647-6_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5167-7

  • Online ISBN: 978-94-017-0647-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics