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A linguistic entropy weight method and its application in linguistic multi-attribute group decision making

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Abstract

Multi-attribute group decision making is generally applied in the language environment, and how to obtain the attribute weights has also been the focus of attention recently. This paper proposes a new method based on the theory of linguistic operator and the entropy weight method to determine the attribute weights in the linguistic multi-attribute group decision making: the linguistic entropy weight method. At the same time, the missing values are completed. The method used to complete missing values not only shows the average of the evaluation values, but also avoids the impact of the value fluctuations, so it has the validity and accuracy. Finally we demonstrate its applicability through the evaluation example of the scenic spot order.

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References

  1. Zhou, Y., Zhu, Y.: Multi-attribute group decision-making expert weight adjustment algorithm based on the grey system theory. Control Decis. Mak. 27, 1113–1116 (2012)

    MathSciNet  Google Scholar 

  2. Jian, D., Chunfang, C., Lei, W.: The group decision-making model based on rank preferences dominant correlation coefficient. Stat. Decis. Mak. 5, 41–44 (2015)

    Google Scholar 

  3. Song, G., Zou, P.: The decision-makers weights determination method in multiple attribute group decision making. Syst. Eng. 19, 84–89 (2001)

    Google Scholar 

  4. Qi, X., Liang, C., Zhang, E., Ding, Y.: Interval intuitionistic fuzzy multiple attribute group decision making based on the maximum entropy method. Syst. Eng. Theory Pract. 31, 1940–1948 (2011)

    Google Scholar 

  5. Li, G.: Combination empowerment method research based on the standard deviation correction group G1. J. Syst. Eng. 27, 9–18 (2012)

    Google Scholar 

  6. Wang, X., Wang, J., Yang, X.: Incomplete information group decision method based on dual contact number. J. Manag. Eng. 28, 202–208 (2014)

    Google Scholar 

  7. Hadi-Vencheh, A., Mirjaberi, M.: Fuzzy inferior ratio method for multiple attribute decision making problems. Inf. Sci. 277, 263–272 (2014)

    Article  MathSciNet  Google Scholar 

  8. Chamodrakas, I., Leftheriotis, I., Martakos, D.: In-depth analysis and simulation study of an innovative fuzzy approach for ranking alternatives in multiple attribute decision making problems based on TOPSIS. Appl. Soft Comput. 11, 900–907 (2011)

  9. Zhang, S.: Intuitionistic fuzzy multi-attribute group decision making method based on scoring function. Stat. Decis. Mak. 7, 62–65 (2015)

    Google Scholar 

  10. zhou, B., et al.: Supplier selection research based on the simple fuzzy group decision making method. Sci. Technol. Manag. Res. 15, 204–207 (2011)

    Google Scholar 

  11. Yuan, J., Wu, Q., Yu, X.: Group decision making method based on the Bonissone approximate algorithm. Pract Underst. Math. 33, 66–77 (2003)

    Google Scholar 

  12. Xu, Z.: Pure linguistic multiple attribute group decision making method research. Control Decis. Mak. 19, 778–781 (2004)

    Google Scholar 

  13. Silva, V.B.S., Morais, D.C.: A group decision-making approach using a method for constructing a linguistic scale. Inf. Sci. 288, 423–436 (2014)

    Article  MathSciNet  Google Scholar 

  14. Dai, J., Yu, C.: No completion strategy for incomplete judgement matrix sequence. Stat. Decis. Mak. 1, 45–48 (2015)

    Google Scholar 

  15. Jing, K., Tang, L.: Multi-stage emergency group decision making method based on the incomplete preference information. Strategy Manag. 23, 73–80 (2014)

    Google Scholar 

  16. Xu, X., Fang, L.: A attribute incomplete preference utility matrix oriented method for large group decision method. Stat. Decis. Mak. 21, 6–9 (2010)

    Google Scholar 

  17. Wang, H., Xu, Z.: Some consistency measures of extended hesitant fuzzy linguistic preference relations. Inf. Sci. 297, 316–331 (2014)

    Article  MathSciNet  Google Scholar 

  18. Hu, M.M., Ren, P.Y., Jin, M.Z., et al.: A satisfaction evaluation method for scenic spot based on Linguistic weighted arithmetic average operator. Appl. Math. Inf. Sci. 7, 2259–2270 (2003)

    Article  Google Scholar 

  19. Hu, M., Ren, P., Jin, M., Lan, J., Luo, Y.: A satisfaction evaluation method for scenic spot based on Linguistic weighted arithmetic average operator. Appl. Math. Inf. Sci. 06, 2259–2270 (2013)

    Article  Google Scholar 

  20. Zhou, R., Fan, F., He, D., Qiu, W.: Comprehensive entropy weight method based on the data stability and subjective preference in multi-attribute group decision making. Control Decis. Mak. 27, 1169–1175 (2012)

    MathSciNet  MATH  Google Scholar 

  21. Yang, G., Chui, B.: Entropy method applied in the evaluation of sustainable utilization of water resources. Pract. Underst. Math. 41, 8–12 (2011)

    Google Scholar 

  22. Wang, Q., Wu, C., Sun, Y.: Evaluating corporate social responsibility of airlines using entropy weight and grey relation analysis. J. Air Transp. Manag. 42, 55–62 (2014)

    Article  Google Scholar 

  23. Zou, Z.H., Yun, Y., Sun, J.N.: Entropy method for determination of weight of evaluating in fuzzy synthetic evaluation for water quality assessment indicators. J. Enriron. Sci. 18, 1020–1023 (2006)

    Article  Google Scholar 

  24. Guo, Jinwei, Xuqiang, Pu, Gao, Xiang, Zhang, Yongan: An improved of multi-objective decision-making index weight calculation method. Journal of Xi ’an Electron. Sci. Technol. Univ. Nat. Sci. Edit. 41, 135–142 (2014)

    Google Scholar 

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Acknowledgments

The authors would like to Thanks for National Natural Science Foundation Item of China (No. 71001075) to Maozhu Jin and National Natural Science Foundation Item of China (No. 71501138) to Jun Wang.

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Correspondence to Maozhu Jin.

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He, Y., Guo, H., Jin, M. et al. A linguistic entropy weight method and its application in linguistic multi-attribute group decision making. Nonlinear Dyn 84, 399–404 (2016). https://doi.org/10.1007/s11071-015-2595-y

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  • DOI: https://doi.org/10.1007/s11071-015-2595-y

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