Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
Springer Nature Link
Log in

EDAS Method for Extended Hesitant Fuzzy Linguistic Multi-criteria Decision Making

  • Published:
International Journal of Fuzzy Systems Aims and scope Submit manuscript

Abstract

Extended hesitant fuzzy linguistic term set (EHFLTS) is an effective means to assess the hesitant qualitative information in multi-criteria group decision-making environment. We extend the Evaluation Based on Distance from Average Solution (EDAS) method to the extended hesitant fuzzy linguistic environment, which use average solution for appraising alternatives. The average solutions according to all the criteria are determined by the extended hesitant fuzzy linguistic center OWA operator, which is based on convex combinations of two EHFLTSs and center OWA operator. In order to calculate positive distance from average and negative distance from average, the possibility degree formula for comparing EHFLTSs is proposed. According to the appraisal score, the preference order or the most suitable alternative can be ranked. Finally, the feasibility and efficiency of the extended EDAS is demonstrated by through the example.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Chen, X., Zhang, H.J., Dong, Y.C.: The fusion process with heterogeneous preference structures in group decision making: a survey. Inf. Fus. 24, 72–83 (2015)

    Article  Google Scholar 

  2. Krohling, R.A., Souza, T.M.D.: Combining prospect theory and fuzzy numbers to multi-criteria decision making. Expert Syst. Appl. 39(13), 11487–11493 (2012)

    Article  Google Scholar 

  3. Ghadikolaei, A.S., Madhoushi, M., Divsalar, M.: Extension of the VIKOR method for group decision making with extended hesitant fuzzy linguistic information. Neural Comput. Appl. (2017). https://doi.org/10.1007/s00521-017-2944-5

    Article  Google Scholar 

  4. Herrera, F., Martinez, L.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans. Fuzzy Syst. 8, 746–752 (2000)

    Article  Google Scholar 

  5. Ben-Arieh, D., Chen, Z.: Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations. IEEE Trans. Syst. Man Cybern. A Syst. Hum. 36(3), 558–568 (2006)

    Article  Google Scholar 

  6. Herrera-Viedma, E., Martinez, L., Mata, F., Chiclana, F.: A consensus support system model for group decision-making problems with multi-granular linguistic preference relations. IEEE Trans. Fuzzy Syst. 13(5), 644–658 (2005)

    Article  Google Scholar 

  7. Liao, H.C., Xu, Z.S., Zeng, X.J., Merigó, J.M.: Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl. Based Syst. 76, 127–138 (2015)

    Article  Google Scholar 

  8. Wang, H.: Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making. Int. J. Comput. Intell. Syst. 8(1), 14–33 (2015)

    Article  Google Scholar 

  9. Rodriguez, R.M., MartíNez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE Trans. Fuzzy Syst. 20(1), 109–119 (2012)

    Article  Google Scholar 

  10. Chen, Z.S., Chin, K.S., Li, Y.L., et al.: Proportional hesitant fuzzy linguistic term set for multiple criteria group decision making. Inf. Sci. 357, 61–87 (2016)

    Article  MathSciNet  Google Scholar 

  11. Pang, Q., Wang, H., Xu, Z.S.: Probabilistic linguistic term sets in multi-attribute group decision making. Inf. Sci. 369, 128–143 (2016)

    Article  Google Scholar 

  12. Feng, X., Tan, Q.Y., Wei, C.P.: Hesitant fuzzy linguistic multi-criteria decision making based on possibility theory. Int. J. Mach. Learn. Cyber. (2017). https://doi.org/10.1007/s13042-017-0659-7

    Article  Google Scholar 

  13. Wu, Z., Xu, J.: Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations. Omega 65(3), 28–40 (2016)

    Article  Google Scholar 

  14. Wang, J.Q., Wu, J.T., Wang, J., et al.: Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems. Inf. Sci. 288, 55–72 (2014)

    Article  MathSciNet  Google Scholar 

  15. Wang, J.Q., Wang, J., Chen, Q.H., Zhang, H.Y., Chen, X.H.: An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term set. Inf. Sci. 280, 338–351 (2014)

    Article  MathSciNet  Google Scholar 

  16. Alireza, C.J.: Analytic approach on maximum Bayesian entropy ordered weighted averaging operators. Comput. Ind. Eng. 105, 260–264 (2017)

    Article  Google Scholar 

  17. Liao, H.C., Xu, Z.S.: Approaches to manage hesitant fuzzy linguistic information based on the cosine distance and similarity measures for HFLTSs and their application in qualitative decision making. Expert Syst. Appl. 42(12), 5328–5336 (2015)

    Article  Google Scholar 

  18. Liao, H.C., Xu, Z.S., Zeng, X.J.: Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf. Sci. 271, 125–142 (2014)

    Article  MathSciNet  Google Scholar 

  19. Hesamian, G., Shams, M.: Measuring similarity and ordering based on hesitant fuzzy linguistic term sets. J. Intell. Fuzzy Syst. 28(2), 983–990 (2015)

    MathSciNet  Google Scholar 

  20. Meng, F.Y., Chen, X.H.: A hesitant fuzzy linguistic multi-granularity decision making model based on distance measures. J. Intell. Fuzzy Syst. 28(4), 1519–1531 (2015)

    MathSciNet  MATH  Google Scholar 

  21. Wei, C.P., Zhao, N., Tang, X.J.: Operators and comparisons of hesitant fuzzy linguistic term sets. IEEE Trans. Fuzzy Syst. 22(3), 575–585 (2014)

    Article  Google Scholar 

  22. Feng, X.Q., Tan, Q.Y., Qian, G.: Possibility degree methods for ranking hesitant fuzzy linguistic sets. Control Decis. 31(4), 641–646 (2016)

    MATH  Google Scholar 

  23. Lee, L.W., Chen, S.M.: Fuzzy decision making based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets and hesitant fuzzy linguistic operators. Inf. Sci. 294, 513–529 (2015)

    Article  MathSciNet  Google Scholar 

  24. Liu, H., Rodríguez, R.M.: A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making. Inf. Sci. 258, 220–238 (2014)

    Article  MathSciNet  Google Scholar 

  25. Tian, Z.P., Wang, J., Wang, J.Q., et al.: A likelihood-based qualitative flexible approach with hesitant fuzzy linguistic information. Cognit. Comput. 8(4), 670–683 (2016)

    Article  Google Scholar 

  26. Rodríguez, R.M., Martínez, L., Herrera, F.: A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Inf. Sci. 241(12), 28–42 (2013)

    Article  MathSciNet  Google Scholar 

  27. Wang, J., Wang, J.Q., Zhang, H.Y., et al.: Multi-criteria group decision-making approach based on 2-tuple linguistic aggregation operators with multi-hesitant fuzzy linguistic information. Int. J. Fuzzy Syst. 18(1), 81–97 (2016)

    Article  MathSciNet  Google Scholar 

  28. Zhang, Z., Wu, C.: Hesitant fuzzy linguistic aggregation operators and their applications to multiple attribute group decision making. J. Intell. Fuzzy Syst. 26, 2185–2202 (2014)

    MathSciNet  MATH  Google Scholar 

  29. Wang, H., Xu, Z.S.: Some consistency measures of extended hesitant fuzzy linguistic preference relations. Inf. Sci. 297, 316–331 (2015)

    Article  MathSciNet  Google Scholar 

  30. Wang, H., Xu, Z.S.: Total orders of extended hesitant fuzzy linguistic term sets: definitions, generations and applications. Knowl. Based Syst. 107, 142–154 (2016)

    Article  Google Scholar 

  31. Wei, C., Rodríguez, R.M., Martínez, L.: Uncertainty measures of extended hesitant fuzzy linguistic term sets. IEEE Trans. Fuzzy Syst. (2017). https://doi.org/10.1109/tfuzz.2017.2724023

    Article  Google Scholar 

  32. Wei, C.P., Zhao, N., Tang, X.J.: A novel linguistic group decision-making model based on extended hesitant fuzzy linguistic term sets. Int. J. Uncertain. Fuzziness 23(3), 379–398 (2015)

    Article  MathSciNet  Google Scholar 

  33. Ghorabaee, M.K., Zavadskas, E.K., Olfat, L., et al.: Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica 26(3), 435–451 (2015)

    Article  Google Scholar 

  34. Wu, Z., Ahmad, J., Xu, J.: A group decision making framework based on fuzzy VIKOR approach for machine tool selection with linguistic information. Appl. Soft Comput. 42(C), 314–324 (2016)

    Article  Google Scholar 

  35. Lourenzutti, R., Krohling, R.A.: A study of TODIM in a intuitionistic fuzzy and random environment. Expert Syst. Appl. 40(16), 6459–6468 (2013)

    Article  Google Scholar 

  36. Kuo, T.: A modified TOPSIS with a different ranking index. Eur. J. Oper. Res. 260(1), 152–160 (2017)

    Article  MathSciNet  Google Scholar 

  37. Peng, X., Liu, C.: Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set. J. Intell. Fuzzy Syst. 32(1), 955–968 (2017)

    Article  Google Scholar 

  38. Wei, C.P., Ren, Z.L., Rodríguez, R.M.: A hesitant fuzzy linguistic TODIM method based on a score function. Int. J. Comput. Intell. Syst. 8, 701–712 (2015)

    Article  Google Scholar 

  39. Liao, H.C., Xu, Z.S., Zeng, X.J.: Hesitant fuzzy linguistic VIKOR method and its application in qualitative multiple criteria decision making. IEEE Trans. Fuzzy Syst. 23(5), 1343–1355 (2015)

    Article  Google Scholar 

  40. Xu, Z.S.: A note on linguistic hybrid arithmetic averaging operator in group decision making with linguistic information. Group Decis. Negot. 15, 581–591 (2006)

    Article  Google Scholar 

  41. Yager, R.R.: Centered OWA operators. Soft Comput. 11(7), 631–639 (2007)

    Article  Google Scholar 

  42. Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Syst. Man Cybern. 18(1), 183–190 (1988)

    Article  Google Scholar 

  43. Tan, Q.Y., Wei, C.P., Liu, Q., Feng, X.Q.: The hesitant fuzzy linguistic TOPSIS method based on novel information measures. Asia-Pac. J. Oper. Res. 33(5), 1650035 (2016)

    Article  MathSciNet  Google Scholar 

  44. Merigó, J.M., Palacios-Marqués, D., Zeng, S.: Subjective and objective information in linguistic multi-criteria group decision making. Eur. J. Oper. Res. 248(2), 522–531 (2016)

    Article  MathSciNet  Google Scholar 

  45. Zhang, X.L., Xu, Z.S.: Hesitant fuzzy QUALIFLEX approach with a signed distance-based comparison method for multiple criteria decision analysis. Expert Syst. Appl. 42(2), 873–884 (2015)

    Article  MathSciNet  Google Scholar 

  46. Wang, J.Q., Wu, J.T., Wang, J., et al.: Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers. Soft Comput. 20(4), 1621–1633 (2016)

    Article  Google Scholar 

Download references

Acknowledgements

The authors are most grateful to the editor and anonymous referees for their constructive suggestions that have led to an improved version of the paper. The work was partly supported by the National Natural Science Foundation of China (No. 71371107), University Natural Sciences Project of Jiangsu Province (No. 16KJB110015) and University Social Sciences Project of Jiangsu Province (No. 2016SJD630014).

Author information

Authors and Affiliations

  1. Business School, Nanjing Normal University, Nanjing, China

    Xiangqian Feng

  2. College of Mathematical Sciences, Yangzhou University, Yangzhou, China

    Cuiping Wei

  3. School of Computer Science and Technology, Nanjing Normal University, Nanjing, China

    Qi Liu

Authors
  1. Xiangqian Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Cuiping Wei
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Qi Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiangqian Feng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Feng, X., Wei, C. & Liu, Q. EDAS Method for Extended Hesitant Fuzzy Linguistic Multi-criteria Decision Making. Int. J. Fuzzy Syst. 20, 2470–2483 (2018). https://doi.org/10.1007/s40815-018-0504-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-018-0504-5

Keywords

Search

Navigation