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A New Method for Group Decision Making Using Group Recommendations Based on Interval Fuzzy Preference Relations and Consistency Matrices

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Modern Advances in Applied Intelligence (IEA/AIE 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8481))

Abstract

This paper presents a new method for group decision making using group recommendations based on interval fuzzy preference relations and consistency matrices. First, it constructs consistency matrices from interval fuzzy preference relations. Then, it constructs a collective consistency matrix, constructs a weighted collective preference relation, and constructs a group collective preference relation. Then, it constructs a consensus relation for each expert and calculates the group consensus degree for the experts based on the constructed consensus relations. If the group consensus degree is smaller than a predefined threshold value, then it modifies the interval fuzzy preference values in the interval fuzzy preference relations. The above process is performed repeatedly, until the group consensus degree is larger than or equal to the predefined threshold value. Finally, based on the group collective preference relation, it calculates the score of each alternative. The larger the score of the alternative, the better the preference order of the alternative. The proposed method can overcome the drawbacks of the existing methods for group decision making using group recommendations.

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References

  1. Alonso, S., Chiclana, F., Herrera, F., Herrera-Viedma, E., Alcala-Fdez, J., Porcel, C.: A consistency-based procedure to estimate missing pairwise preference values. International Journal of Intelligent Systems 23(1), 155–175 (2008)

    Article  MATH  Google Scholar 

  2. Alonso, S., Herrera-Viedma, E., Chiclana, F., Herrera, F.: A web based consensus support system for group decision making problems and incomplete preferences. Information Sciences 180(23), 4477–4495 (2010)

    Article  MathSciNet  Google Scholar 

  3. Ben-Arieh, D., Chen, Z.: Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations. IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans 36(3), 558–568 (2006)

    Article  Google Scholar 

  4. Chen, S.M., Lee, L.W.: Autocratic decision making using group recommendations based on the ILLOWA operators and likelihood-based comparison relations. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans 42(1), 115–129 (2012)

    Article  Google Scholar 

  5. Chen, S.M., Lee, L.W., Yang, S.W., Sheu, T.W.: Adaptive consensus support model for group decision making systems. Expert Systems with Applications 39(16), 12580–12588 (2012)

    Article  Google Scholar 

  6. Chen, S.M., Lin, T.E., Lee, L.W.: Group decision making using incomplete fuzzy preference relations based on the additive consistency and the order consistency. Information Sciences 259, 1–15 (2014)

    MathSciNet  Google Scholar 

  7. Herrera-Viedma, E., Alonso, S., Chiclana, F., Herrera, F.: A consensus model for group decision making with incomplete fuzzy preference relations. IEEE Transactions on Fuzzy Systems 15(5), 863–877 (2007)

    Article  Google Scholar 

  8. Herrera-Viedma, E., Chiclana, F., Herrera, F., Alonso, S.: Group decision-making model with incomplete fuzzy preference relations based on additive consistency. IEEE Transactions on Systems, Man and Cybernetics-Part B: Cybernetics 37(1), 176–189 (2007)

    Article  Google Scholar 

  9. 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-Part A: Systems and Humans 32(3), 394–402 (2002)

    Article  Google Scholar 

  10. Herrera-Viedma, E., Martínez, L., Mata, F., Chiclana, F.: A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Transactions on Fuzzy Systems 13(5), 644–658 (2005)

    Article  Google Scholar 

  11. Lee, L.W.: Group decision making with incomplete fuzzy preference relations based on the additive consistency and the order consistency. Expert Systems with Applications 39(14), 11666–11676 (2012)

    Article  Google Scholar 

  12. Liu, F., Zhang, W.G., Wang, Z.X.: A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making. European Journal of Operational Research 218(3), 747–754 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  13. Mata, F., Martinez, L., Herrera-Viedma, E.: An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context. IEEE Transactions on Fuzzy Systems 17(2), 279–290 (2009)

    Article  Google Scholar 

  14. Perez, I.J., Cabrerizo, F.J., Herrera-Viedma, E.: A mobile decision support system for dynamic group decision-making problems. IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans 40(6), 1244–1256 (2010)

    Article  Google Scholar 

  15. Tapia-García, J.M., del Moral, M.J., Martínez, M.A., Herrera-Viedma, E.: A consensus model for group decision making problems with linguistic interval fuzzy preference relations. Expert Systems with Applications 39(11), 10022–10030 (2012)

    Article  Google Scholar 

  16. Wu, J., Li, J.C., Li, H., Duan, W.Q.: The induced continuous ordered weighted geometric operators and their application in group decision making. Computers and Industrial Engineering 56(4), 1545–1552 (2009)

    Article  Google Scholar 

  17. Wu, Z., Xu, J.: A concise consensus support model for group decision making with reciprocal preference relations based on deviation measures. Fuzzy Sets and Systems 206, 58–73 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  18. Xu, Z.: Consistency of interval fuzzy preference relations in group decision making. Applied Soft Computing 11(5), 3898–3909 (2011)

    Article  Google Scholar 

  19. Xu, G.L., Liu, F.: An approach group decision making based on interval multiplicative and fuzzy preference relations by using projection. Applied Mathematical Modelling 37(6), 3929–3943 (2013)

    Article  MATH  MathSciNet  Google Scholar 

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Chen, SM., Lin, TE. (2014). A New Method for Group Decision Making Using Group Recommendations Based on Interval Fuzzy Preference Relations and Consistency Matrices. In: Ali, M., Pan, JS., Chen, SM., Horng, MF. (eds) Modern Advances in Applied Intelligence. IEA/AIE 2014. Lecture Notes in Computer Science(), vol 8481. Springer, Cham. https://doi.org/10.1007/978-3-319-07455-9_33

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  • DOI: https://doi.org/10.1007/978-3-319-07455-9_33

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07454-2

  • Online ISBN: 978-3-319-07455-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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