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A multi-attribute large group emergency decision making method based on group preference consistency of generalized interval-valued trapezoidal fuzzy numbers

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Abstract

In this paper, a new decision making approach is proposed for the multi-attribute large group emergency decision-making problem that attribute weights are unknown and expert preference information is expressed by generalized interval-valued trapezoidal fuzzy numbers (GITFNs). Firstly, a degree of similarity formula between GITFNs is presented. Secondly, expert preference information on different alternatives is clustered into several aggregations via the fuzzy clustering method. As the clustering proceeds, an index of group preference consistency is introduced to ensure the clustering effect, and then the group preference information on different alternatives is obtained. Thirdly, the TOPSIS method is used to rank the alternatives. Finally, an example is taken to show the feasibility and effectiveness of this approach. These method can ensure the consistency degree of group preference, thus decision efficiency of emergency response activities can be improved.

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References

  1. Chai, J. Y., Liu, N.K. & Xu, Z.S. (2013). A rule-based group decision model for warehouse evaluation under interval-valued intuitionistic fuzzy environments. Expert Systems with Applications, 40(6): 1959–1970.

    Article  Google Scholar 

  2. Chen, S.H. (1985). Fuzzy numbers with maximizing set and minimizing set. Fuzzy Sets and Systems, 17(2): 113–129.

    Article  MATH  MathSciNet  Google Scholar 

  3. Chen, S.J. (2011). Measure of similarity between interval-valued fuzzy numbers for fuzzy recommendation process based on quadratic-mean operator. Expert Systems with Applications, 38(3): 2386–2394.

    Article  Google Scholar 

  4. Chen, S.J. & Chen, S.M. (2003). A new method for handing multicriteria fuzzy decision-making problems using FN-IOWA operators. Cybernetics and Systems, 34(2): 109–137.

    Article  MATH  Google Scholar 

  5. Chen, S.M. & Chen, J.H. (2009). Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads. Expert Systems with Applications, 36(3): 6833–6842.

    Article  Google Scholar 

  6. Chen, X.H. & Liu, Y.F. (2010). Expert weights determination method and realization algorithm based on interval numbers group decision matrices. Systems Engineering and Electronics, 32(10): 2128–2131.

    MATH  Google Scholar 

  7. Farhadinia, B. (2014). Sensitivity analysis in interval-valued trapezoidal fuzzy number linear programming problems. Applied Mathematical Modelling, 38(1): 50–62.

    Article  MathSciNet  Google Scholar 

  8. Fu, B.B., Wu, C. & Tang, J. (2012). Unconventional emergency management based on intelligent group decision-making methodology. Advances in Information Sciences & Service Sciences, 4(7): 208–216.

    Article  Google Scholar 

  9. Gorzalczany, M. B. (1987). A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems, 21(1): 1–17.

    Article  MATH  MathSciNet  Google Scholar 

  10. Guo, Y.J. (2002). New theory and method of dynamic comprehensive evaluation. Journal of Management Science in China, 5(2): 49–54.

    Google Scholar 

  11. Kuo, M.S. & Liang, G.S. (2012). A soft computing method of performance evaluation with MCDM based on interval-valued fuzzy numbers. Applied Soft Computing, 12(1): 476–485.

    Article  Google Scholar 

  12. Liu, B.D. & Wang, Y.D. (2011). A multiple attribute group decision making method based on generalized interval-valued trapezoidal fuzzy numbers. Control and Cybernetics, 40(1): 164–183.

    Google Scholar 

  13. Liu, X.Y., Ju, Y.B. & Wang, A.H. (2012). A multiple attribute group decision making method with its application to emergency alternative assessment. Journal of Convergence Information Technology, 7(2): 75–82.

    Article  Google Scholar 

  14. Song, G.X. & Yang, H. (2000). Research on group behavioral decision making. Academic Exploration, 57(3): 48–49.

    MathSciNet  Google Scholar 

  15. Turksen, I.B. (1996). Interval-valued strict preference with zadeh triples. Fuzzy Sets and Systems, 78(2): 183–195.

    Article  MathSciNet  Google Scholar 

  16. Wang, G. & Li, X. (1998). The applications of interval-valued fuzzy numbers and interval-distribution numbers. Fuzzy Sets and Systems, 98(3): 331–335.

    Article  MATH  MathSciNet  Google Scholar 

  17. Wei, S.H. & Chen, S.M. (2009). Fuzzy risk analysis based on interval-valued fuzzy numbers. Expert Systems with Application, 36(2): 2285–2299.

    Article  Google Scholar 

  18. Xu, J.P., Wu, Z.B. & Zhang, Y. (2014). A consensus based method for multi-criteria group decision making under uncertain linguistic setting. Group Decision Negotiation, 23(1): 127–148.

    Article  Google Scholar 

  19. Xu, X.H. (2012). Complex Large Group Decision Making Models and Its Application Oriented Outsize Nature Disasters. Science Press, Beijing.

    Google Scholar 

  20. Xu, X.H., Ahn, J.H. & Chen, X.H. (2013). Conflict measure model for large group decision based on interval intuitionistic trapezoidal fuzzy number and its application. Journal of Systems Science and Systems Engineering, 22(4): 487–498.

    Article  Google Scholar 

  21. Xu, Z.S. (2004). The Uncertain Multiple Attribute Decision Making Method and Application. Tsinghua University Press, Beijing.

    Google Scholar 

  22. Xu, Z.S. (2007). Multiple attribute group decision making with different formats of preference information on attributes. IEEE Transactions on Systems, Man, and Cybernetics-Part B, 37(6): 1500–1511.

    Article  Google Scholar 

  23. Xu, Z. S. (2009). An automatic approach to reaching consensus in multiple attribute group decision making. Computers & Industrial Engineering, 56(4): 1369–1374.

    Article  Google Scholar 

  24. Xu, Z.S. & Cai, X.Q. (2013). On consensus of group decision making with interval utility values and interval preference orderings. Group Decision Negotiation, 22(6): 997–1019.

    Article  Google Scholar 

  25. Xu, Z.S., Chen, J. & Wu, J. (2008). Clustering algorithm for trapezoidal fuzzy sets. Information Sciences, 178(19): 3775–3790.

    Article  MATH  MathSciNet  Google Scholar 

  26. Yang, W.J. & Li, Q.S. (2012). Decision-making model for ranking earthquake emergency events based on intuitionistic fuzzy sets. Applied Mechanics and Materials, 204(10): 2488–2493.

    Google Scholar 

  27. Ye, J. (2012). The Dice similarity measure between generalized trapezoidal fuzzy numbers based on the expected interval and its multicriteria group decision-making method. Journal of the Chinese Institute of Industrial Engineers, 29(6): 375–382.

    Article  Google Scholar 

  28. Zhang, L.Y., Xu, X.H. & Chen, X.H. (2012). A new similarity measure for intuitionistic fuzzy sets and its applications. International Journal of Information and Management Sciences, 23(2): 229–239.

    MathSciNet  Google Scholar 

  29. Zhang, Q., Fan, Z.P. & Pan, D.H. (1999). A ranking approach for interval numbers in uncertain multiple attribute decision making problems. System Engineering Theory and Practice, 19(5):129–133.

    Google Scholar 

  30. Zhou, X.G., Zhang, Q. & Hu, W.B. (2005). Research on TOPSIS methods based on vague set theory. Systems Engineering Theory Methodology Applications, 14(6): 537–541.

    Google Scholar 

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Authors and Affiliations

  1. School of Business, Central South University, Changsha, 410083, China

    Xuanhua Xu, Chenguang Cai, Xiaohong Chen & Yanju Zhou

Authors
  1. Xuanhua Xu
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  2. Chenguang Cai
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  3. Xiaohong Chen
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  4. Yanju Zhou
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Corresponding author

Correspondence to Chenguang Cai.

Additional information

Xuanhua Xu is a professor at the School of Business, Central South University, Changsha, China. He received his Ph.D in School of Business at Central South University in 2005, Changsha, China. His current research interests lie in the field of theory & method for complex large group decision making, group decision support system, emergency decision for nature disasters, risk analysis and decision. His research results have been published in the Journal of Knowledge-Based Systems, Applied Mathematics, Systems Science and Information, Systems Engineering Procedia, Journal of Systems Science and Information, etc.

Chenguang Cai received the M. A. in engineering from Changsha University of Science and Technology in 2012, Changsha, China. Now, he is a Ph.D. student of School of business, Central South University, Changsha, China. Currently, his research interests mainly focus on theory & method for complex large group decision making, group decision support system, emergency decision for nature disasters.

Xiaohong Chen is a professor at the School of Business, Central South University, Changsha, China. She received her Ph.D in Tokyo University of Technology in 1999, Tokyo, Japan. Her current research interests include decision theory & method, decision support system, resource-saving and environment-friendly society. Her research results have been published in several journals, including Marketing Science, Decision Support Systems, Expert Systems with Applications, Chinese Economical Review, International Journal Production Economics, etc.

Yanju Zhou is a professor at the School of Business, Central South University, Changsha, China. She received his Ph.D in Beihang University, Beijing, China. Her current research interests lie in the field of supply chain management and decision. She has published many high-level papers in international journals, including Economic Modelling, International Journal of Production Economics, Journal of Applied Statistics, etc.

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Xu, X., Cai, C., Chen, X. et al. A multi-attribute large group emergency decision making method based on group preference consistency of generalized interval-valued trapezoidal fuzzy numbers. J. Syst. Sci. Syst. Eng. 24, 211–228 (2015). https://doi.org/10.1007/s11518-015-5274-0

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  • DOI: https://doi.org/10.1007/s11518-015-5274-0

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