Skip to main content

Consistency Measures of Linguistic Preference Relations and Its Properties in Group Decision Making

  • Conference paper
Fuzzy Systems and Knowledge Discovery (FSKD 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Included in the following conference series:

Abstract

This paper first introduces the concept of consistent linguistic preference relations. By defining the distance of a linguistic preference relation to the set of consistent linguistic preference relations, we present a consistency index of linguistic preference relations and develop a consistency measure method for linguistic preference relations. This method is performed to ensure that the decision maker is being neither random nor illogical in his or her pairwise comparisons using the linguistic label set. At last, we discuss two consistency properties on group decision making using linguistic preference relations. These properties are of vital importance for group decision making with linguistic preference relations.

This research is supported by NSF of China under Grants 10371094 and 70471035.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Saaty, T.L.: The analytic hierarchy process. McGraw-Hill, New York (1980)

    MATH  Google Scholar 

  2. Orlorski, S.A.: Decision-making with a fuzzy preference relation. Fuzzy Sets and Systems 3, 155–167 (1978)

    Google Scholar 

  3. Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A Model of Consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems 78, 73–87 (1996)

    Article  MathSciNet  Google Scholar 

  4. Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: Direct approach processes in group decision making using linguistic OWA operators. Fuzzy Sets and Systems 79, 175–190 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  5. Herrera-Viedma, E., Herrera, F., Chiclana, F.: A Consensus Model for multiperson decision making with different preference structures. IEEE Transactions on Systems, Man and Cybernetics 32, 394–402 (2002)

    Article  Google Scholar 

  6. Herrera, F., Martinez, L.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on fuzzy systems 8, 746–752 (2000)

    Article  MathSciNet  Google Scholar 

  7. Herrera, F.: A sequential selection process in group decision making with linguistic assessment. Information Sciences 85, 223–239 (1995)

    Article  MATH  Google Scholar 

  8. Herrera, F., Herrera-Viedma, E.: Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets and Systems 115, 67–82 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  9. Xu, Z.S.: A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Information Sciences 166, 19–30 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  10. Xu, Z.S.: Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Information Sciences 168, 171–184 (2004)

    MATH  Google Scholar 

  11. Zhi-Ping, F., Chen, X.: Consensus measures and adjusting inconsistency of linguistic preference relations in group decision making. In: Wang, L., Jin, Y. (eds.) FSKD 2005. LNCS (LNAI), vol. 3613, pp. 130–139. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  12. Zhi-Ping, F., Jiang, Y.P.: A judgment method for the satisfying consistency of linguistic judgment matrix. Control and Decision 19, 903–906 (2004)

    Google Scholar 

  13. Xu, Z.S.: Deviation measures of linguistic preference relations in group decision making. Omega 33, 249–254 (2005)

    Article  Google Scholar 

  14. de Jong, P.: A Statistical approach to Saaty’s scaling method for priorities. Journal of Mathematical Psychology 28, 467–478 (1984)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dong, Y., Xu, Y. (2006). Consistency Measures of Linguistic Preference Relations and Its Properties in Group Decision Making. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_58

Download citation

  • DOI: https://doi.org/10.1007/11881599_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45916-3

  • Online ISBN: 978-3-540-45917-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics