Skip to main content
SpringerLink
Log in

Optimizing Relative Weights of Alternatives with Fuzzy Comparative Judgment

  • Conference paper
Computational Science and Its Applications - ICCSA 2006 (ICCSA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3982))

Included in the following conference series:

  • 1385 Accesses

Abstract

This paper presents an optimal weighting approach for maximizing the overall preference value of decision alternatives based on a given set of weights and performance ratings. In policy analysis settings, relative weights for policy alternatives are subjectively assessed by a group of experts or stakeholders via surveys using comparative judgment. A hierarchical pairwise comparison process is developed to help make comparative judgment among a large number of alternatives with fuzzy ratio values. Performance ratings for policy alter- natives are obtained from objective measurement or subjective judgement. The preference value of an expert on a policy alternative is obtained by multiplying the weight of the alternative by its performance rating. Two optimization models are developed to determine the optimal weights that maximize the overall preference value of all experts or stakeholders. An empirical study of evaluating Taiwan’s air cargo development strategies is conducted to illustrate the approach.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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

  1. Belton, V., Stewart, T.J.: Multiple Criteria Decision Analysis: An Integrated Approach. Kluwer, Boston (2002)

    Google Scholar 

  2. Blumenthal, A.: The Process of Cognition. Prentice-Hall, Englewood Cliffs (1977)

    Google Scholar 

  3. Buckley, J.J.: Fuzzy Hierarchical Analysis. Fuzzy Sets and Systems 17, 233–247 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  4. Buckley, J.J., Feuring, T., Hayashi, Y.: Fuzzy Hierarchical Analysis Revisited. European Journal of Operational Research 129, 48–64 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  5. Chang, Y.-H., Yeh, C.-H.: A Survey Analysis of Service Quality for Domestic Airlines. European Journal of Operational Research 139, 166–177 (2002)

    Article  MATH  Google Scholar 

  6. Chang, Y.-H., Yeh, C.-H.: A New Airline Safety Index. Transportation Research Part B: Methodological 38, 369–383 (2004)

    Article  Google Scholar 

  7. Dyer, J.S., Fishburn, P.C., Steuer, R.E., Wallenius, J., Zionts, S.: Multiple Criteria Decision Making, Multiattribute Utility Theory: The Next Ten Years. Management Science 38, 645–653 (1992)

    Article  MATH  Google Scholar 

  8. Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making - Methods and Applications. Springer, New York (1981)

    MATH  Google Scholar 

  9. Kaufmann, A., Gupta, M.M.: Introduction to Fuzzy Arithmetic, Theory and Applications. International Thomson Computer Press, Boston (1991)

    MATH  Google Scholar 

  10. Klir, G.R., Yuan, B.: Fuzzy Sets and Fuzzy Logic Theory and Applications. Prentice-Hall, Upper Saddle River (1995)

    MATH  Google Scholar 

  11. Leung, L.C., Cao, D.: On Consistency and Ranking of Alternatives in Fuzzy AHP. European Journal of Operational Research 124, 102–113 (2000)

    Article  MATH  Google Scholar 

  12. Miller, G.A.: The Magic Number Seven, Plus or Minus Two: Some Limits on Our Capacity for Processing Information. Psychological Review 63, 81–97 (1956)

    Article  Google Scholar 

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

    MATH  Google Scholar 

  14. Saaty, T.L.: Rank from Comparisons and from Ratings in the Analytic Hierarchy/Network Processes. European Journal of Operational Research 168, 557–570 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  15. Yeh, C.-H.: The Selection of Multiattribute Decision Making Methods for Scholarship Student Selection. International Journal of Selection and Assessment 11, 289–296 (2003)

    Article  Google Scholar 

  16. Yeh, C.-H., Deng, H., Chang, Y.-H.: Fuzzy Multicriteria Analysis for Performance Evaluation of Bus Companies. European Journal of Operational Research 26, 1–15 (2000)

    Google Scholar 

  17. Yeh, C.-H., Kuo, Y.-L.: Evaluating Passenger Services of Asia-Pacific International Airports. Transportation Research Part E 39, 35–48 (2003)

    Article  Google Scholar 

  18. Yeh, C.-H., Deng, H.: A Practical Approach to Fuzzy Utilities Comparison in Fuzzy Multi-Criteria Analysis. International Journal of Approximate Reasoning 35, 179–194 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  19. Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Clayton School of Information Technology, Faculty of Information Technology, Monash University, Clayton, Victoria, 3800, Australia

    Chung-Hsing Yeh

  2. Department of Transportation and Communications Management, National Cheng Kung University, Tainan, 701, Taiwan

    Chung-Hsing Yeh & Yu-Hern Chang

Authors
  1. Chung-Hsing Yeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu-Hern Chang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina Gavrilova

  2. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

  3. William Norris Professor, Head of the Computer Science and Engineering Department, University of Minnesota, USA

    Vipin Kumar

  4. OptimaNumerics Ltd., Cathedral House, 23-31 Waring Street, BT1 2DX, Belfast, UK

    C. J. Kenneth Tan

  5. Clayton School of IT, Monash University, 3800, Clayton, Australia

    David Taniar

  6. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, I-06123, Perugia, Italy

    Antonio Laganá

  7. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  8. School of Information and Communication Engineering, Sungkyunkwan University, Korea

    Hyunseung Choo

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yeh, CH., Chang, YH. (2006). Optimizing Relative Weights of Alternatives with Fuzzy Comparative Judgment. In: Gavrilova, M., et al. Computational Science and Its Applications - ICCSA 2006. ICCSA 2006. Lecture Notes in Computer Science, vol 3982. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11751595_69

Download citation

  • DOI: https://doi.org/10.1007/11751595_69

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34075-1

  • Online ISBN: 978-3-540-34076-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation