[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

Integrating Multiple Types of Incomplete Linguistic Preference Relations in Multi-person 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

In this paper, the multi-person decision making problems with various different types of incomplete linguistic preference relations are studied. Some new concepts, including incomplete uncertain linguistic preference relation, incomplete triangular fuzzy linguistic preference relation, incomplete trapezoid fuzzy linguistic preference relation, expected incomplete linguistic preference relation and acceptable expected incomplete linguistic preference relation, are defined. Based on some transformation functions, all these types of incomplete linguistic preference relations are transformed into the expected incomplete linguistic preference relations. By using the additive consistency property, the acceptable expected incomplete linguistic preference relations are then extended to the complete linguistic preference relations. Moreover, an approach is proposed for multi-person decision making based on multiple types of incomplete linguistic preference relations including incomplete traditional linguistic preference relations, incomplete uncertain linguistic preference relations, incomplete triangular fuzzy linguistic preference relations and incomplete trapezoid fuzzy additive linguistic preference relations.

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. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Part 1, 2 and 3. Information Sciences 8, 199–249, 301–357 (1975); 9, 43–80 (1976)

    Article  MathSciNet  Google Scholar 

  2. Degani, R., Bortolan, G.: The problem of linguistic approximation in clinical decision making. International Journal of Approximate Reasoning 2, 143–162 (1988)

    Article  Google Scholar 

  3. Yager, R.R.: An approach to ordinal decision making. International Journal of Approximate Reasoning 12, 237–261 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  4. Torra, V.: Negation functions based semantics for ordered linguistic labels. International Journal of Intelligent Systems 11, 975–988 (1996)

    Article  Google Scholar 

  5. Bordogna, G., Fedrizzi, M., Passi, G.: A linguistic modeling of consensus in group decision making based on OWA operator. IEEE Transactions on Systems, Man, and Cybernetics 27, 126–132 (1997)

    Article  Google Scholar 

  6. Herrera, F., Martínez, L.: An approach for combining linguistic and numerical information based on 2-tuple fuzzy linguistic representation model in decision-making. International Journal of Uncertainty, Fuzziness, Knowledge-based Systems 8, 539–562 (2002)

    Article  Google Scholar 

  7. Xu, Z.S., Da, Q.L.: An overview of operators for aggregating information. International Journal of Intelligent Systems 18, 953–969 (2003)

    Article  MATH  Google Scholar 

  8. Herrera-Viedma, E., Peis, E.: Evaluating the informative quality of documents in SGML-format using fuzzy linguistic techniques based on computing with words. Information Processing and Management 39, 195–213 (2003)

    Article  Google Scholar 

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

    Article  Google Scholar 

  10. Xu, Z.S.: An approach based on the uncertain LOWG and the induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations. Decision Support Systems 41, 488–499 (2006)

    Article  Google Scholar 

  11. Kacprzyk, J., Fedrizzi, M.: Developing a fuzzy logic controller in case of sparse testimonies. International Journal of Approximate Reasoning 12, 221–236 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  12. Herrera, F., Martínez, L.: A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making. IEEE Transactions on Systems, Man, and Cybernetics 31, 227–234 (2001)

    Article  Google Scholar 

  13. Xu, Z.S.: Uncertain Multiple Attribute Decision Making: Methods and Applications. Tsinghua University Press, Beijing (2004)

    Google Scholar 

  14. 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 

  15. 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 

  16. Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets and Systems 88, 31–49 (1997)

    Article  Google Scholar 

  17. Herrera, F., Herrera-Viedma, E.: Choice functions and mechanisms for linguistic preference relations. European Journal of Operational Research 120, 144–161 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  18. 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 

  19. 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 

  20. Xu, Z.S.: EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12, 791–810 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  21. Alonso, S., Chiclana, F., Herrera, F., Herrera-Viedma, E.: A Learning Procedure to Estimate Missing Values in Fuzzy Preference Relations Based on Additive Consistency. In: Torra, V., Narukawa, Y. (eds.) MDAI 2004. LNCS (LNAI), vol. 3131, pp. 227–238. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  22. Xu, Z.S.: An approach to group decision making based on incomplete linguistic preference relations. International Journal of Information Technology and Decision Making 4, 153–160 (2005)

    Article  Google Scholar 

  23. Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems, Man, and Cybernetics 18, 183–190 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  24. Xu, Z.S.: A note on linguistic hybrid arithmetic averaging operator in group decision making with linguistic information. Group Decision and Negotiation (in press, 2006)

    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

Xu, Z. (2006). Integrating Multiple Types of Incomplete Linguistic Preference Relations in Multi-person 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_34

Download citation

  • DOI: https://doi.org/10.1007/11881599_34

  • 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