Fuzzy Group Decision Making Method and Its Application

  • Cheng Wang
  • Zhongcheng Zhang
  • Congjun Rao
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5551)

Abstract

This paper studies the problems of fuzzy multi-attribute group decision making in which the attribute values are given in the form of linguistic fuzzy numbers, and presents a new fuzzy group decision making method. Firstly, some definitions and conclusions about trapezoidal fuzzy numbers are given. Secondly, an operator named TOWA is presented to aggregate the trapezoidal fuzzy numbers. Thirdly, a new method is presented for the problems of fuzzy multi-attribute group decision making via the TOWA operator and grey relative degree. Finally, this new method is applied in the problem of official evaluation and selection. Therefore, a feasible and effective way is obtained to solve the problems of fuzzy multi-attribute group decision making under the uncertain environments.

Keywords

Multi-attribute group decision making Trapezoid fuzzy numbers TOWA (Trapezoidal Ordered Weighted Averaging) operator Grey relative degree 

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References

  1. 1.
    Hwang, C., Lin, M.: Group Decision Making under Multiple Criteria: Methods and Applications. Springer, Berlin (1987)MATHGoogle Scholar
  2. 2.
    Xu, Z.S.: Uncertain Multiple Attribute Decision Making: Methods and Applications. Tsinghua University Press, Beijing (2004)Google Scholar
  3. 3.
    Wang, J., Ren, J.: Approach to Group Decision-making with Different Forms of Preference Information. Systems Engineering and Electronics 12, 2057–2059 (2005)Google Scholar
  4. 4.
    Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A model of Consensus in Group Decision Making Under Linguistic Assessments. Fuzzy sets and Systems 1, 73–87 (1996)CrossRefMathSciNetGoogle Scholar
  5. 5.
    Bordogna, G., Fedrizzi, M., Pasi, G.: A Linguistic Modelling of Consensus in Group Decision Making Based on OWA Operators. IEEE Trans on Systems, Man, and Cybernetics 27, 126–132 (1997)CrossRefGoogle Scholar
  6. 6.
    Herrera, F., Martínez, L.: A Fusion Method for Managing Multi-granularity Linguistic Terms Sets in Decision Making. Fuzzy Sets and Systems 114, 43–58 (2000)MATHCrossRefGoogle Scholar
  7. 7.
    Herrera, F., Martinez, L.: A Model based on Linguistic Two-tuples for Dealing with Multigranualrity Hierarchical Linguistic Contexts in Multiexpert Decision-making. IEEE Trans on Systems, Man, and Cybernetics 31, 227–233 (2001)CrossRefGoogle Scholar
  8. 8.
    Cordón, O.: Linguistic Modeling by Hierarchical Systems of Linguistic Rules. IEEE Trans on Fuzzy Systems 10, 1–19 (2002)CrossRefGoogle Scholar
  9. 9.
    Fan, Z., Xiao, S.: An Optimization Method for Integrating Two Kinds of Preference Information in Group Decision Making. Computer & Industrial engineering 46, 329–335 (2004)CrossRefGoogle Scholar
  10. 10.
    Liu, B.D.: Uncertainty Theory: An Introduction to its Axiomatic Foundations. Springer, Berlin (2004)MATHGoogle Scholar
  11. 11.
    Li, R.J.: The Foundation and Application of Fuzzy Multiple Attribute Decision Making. Science Press, Beijing (2002)Google Scholar
  12. 12.
    Deng, J.L.: Grey Forecasting and Grey Decision-making. HUST Press, Wuhan (2002)Google Scholar
  13. 13.
    Rao, C.J., Xiao, X.P.: Grey Matrix Relative Degree Method for Dynamic Hybrid Multi-attribute Decision Making under Rsk. Systems Engineering and Electronics 28, 557–561 (2006)Google Scholar
  14. 14.
    Rao, C.J., Xiao, X.P., Peng, J.: Novel Combinatorial Algorithm for the Problems of Fuzzy Grey Multi-attribute Group Decision Making. Journal of Systems Engineering and Electronics 18, 774–780 (2007)CrossRefGoogle Scholar
  15. 15.
    Xu, Z.S.: Method Based on Fuzzy Linguistic Assessments and GIOWA Operator in Multi-attribute Group Decision-making. Journal of System Science and Mathematics 24, 218–224 (2004)MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Cheng Wang
    • 1
    • 2
  • Zhongcheng Zhang
    • 1
  • Congjun Rao
    • 1
    • 2
  1. 1.College of Mathematics and Information ScienceHuanggang Normal UniversityHuanggangChina
  2. 2.Institute of Systems EngineeringHuazhong University of Science and TechnologyWuhanChina

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