Skip to main content
Log in

A Hesitant Fuzzy Linguistic Projection-Based MABAC Method for Patients’ Prioritization

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

Abstract

Patients’ prioritization is a complex multi-criteria decision-making process in the hospital management. The linguistic variable is a preferable way for health experts to evaluate patients. In addition, experts may provide a rich linguistic expression or some linguistic terms in healthcare decision-making processes. Compared to the traditional fuzzy tools, hesitant fuzzy linguistic term sets (HFLTSs) have better applicability in quantifying such linguistic evaluation information. This paper establishes a projection-based multi-attributive border approximation area comparison (MABAC) method with HFLTSs and demonstrates its use in the context of patients’ prioritization. In the novel MABAC method, the classical MABAC method is integrated with the projection-based difference measure, which is defined to depict the difference between two HFLTSs comprehensively. Moreover, the Bonferroni mean is also included in the extended MABAC method to reduce the influence of inherent interdependence among criteria. To explain the effectiveness of the proposed method, we conduct a practical case study that is related to patients’ prioritization in a hospital of China. Furthermore, a sensitivity analysis and a comparative analysis are carried out to verify the rationality and stability of the proposed method.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Rahimi, S.A., Jamshidi, A., Ait-kadi, D.: Applied methods in prioritization of patients in surgery waiting. In: Proceedings of the 2014 Industrial and Systems Engineering Research Conference 2014

  2. Zhang, J.Y., He, Q.: Current status and thinking of grading system of diagnosis and treatment implemented in China. In: Paper Presented at the 2016 Joint International Conference on Service Science, Management and Engineering (SSME 2016) and International Conference on Information Science and Technology (IST 2016)

  3. Rahimi, S.A., Jamshidi, A., Ruiz, A., Ait-Kadi, D.: A new dynamic integrated framework for surgical patients’ prioritization considering risks and uncertainties. Decis. Support Syst. 88, 112–120 (2016)

    Article  Google Scholar 

  4. Rahimi, S.A., Jamshidi, A., Ruiz, A., Ait-Kadi, D.: Multi-criteria decision making approaches to prioritize surgical patients. Health Care Systems Engineering for Scientists and Practitioners. Springer International Publishing, Switzerland (2016)

    Book  Google Scholar 

  5. Valente, R., Testi, A., Tanfani, E., Fato, M., Porro, I., Santo, M., Santori, G., Torre, G., Ansaldo, G.: A model to prioritize access to elective surgery on the basis of clinical urgency and waiting time. BMC Health Serv. Res. 9(1), 1–15 (2009)

    Article  Google Scholar 

  6. Solans-Domènech, M., Adam, P., Tebé, C., Espallargues, M.: Developing a universal tool for the prioritization of patients waiting for elective surgery. Health Policy 113(1–2), 118–126 (2013)

    Article  Google Scholar 

  7. Rahimi, S.A., Jamshidi, A., Ait-Kadi, D., Bartolome, A.R.: Risk-based decision making framework for prioritizing patients’ access to healthcare services by considering uncertainties. In: International Conference on Industrial Engineering and Systems Management 2015, pp. 291-297

  8. Ashour, O.M., Okudan Kremer, G.E.: Dynamic patient grouping and prioritization: a new approach to emergency department flow improvement. Health Care Manag. Sci. 19(2), 192–205 (2016)

    Article  Google Scholar 

  9. Rahimi, S.A.: Application of fuzzy soft set in patients’ prioritization. In: Theoretical and Practical Advancements for Fuzzy System Integration, pp. 221–224. IGI Global (2017). doi:10.4018/978-1-5225-1848-8.ch009

  10. Sadegh-Zadeh, K.: Handbook of Analytic Philosophy of Medicine. Springer, New York (2012)

    Book  Google Scholar 

  11. Rodríguez, R.M., Martínez, L., Herrera, F.: Hesitant fuzzy linguistic term sets. Found. Intell. Syst. 122, 287–295 (2011)

    Article  Google Scholar 

  12. 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 

  13. Rodríguez, R.M., Martínez, L., Torra, V., Xu, Z.S., Herrera, F.: Hesitant fuzzy sets: state of the art and future directions. Int. J. Intell. Syst. 29(6), 495–524 (2014)

    Article  Google Scholar 

  14. Beg, I., Rashid, T.: TOPSIS for hesitant fuzzy linguistic term sets. Int. J. Intell. Syst. 28(12), 1162–1171 (2013)

    Article  Google Scholar 

  15. 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(05), 1650035 (2016)

    Article  MathSciNet  Google Scholar 

  16. Liao, H., Xu, Z., Zeng, X.: 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 

  17. Liao, H., Xu, Z., Zeng, X.: 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 

  18. Zhang, F., Luo, L., Liao, H., Zhu, T., Shi, Y., Shen, W.: Inpatient admission assessment in West China Hospital based on hesitant fuzzy linguistic VIKOR method. J. Intell. Fuzzy Syst. 30(6), 3143–3154 (2016)

    Article  Google Scholar 

  19. Liao, H., Xu, Z.: 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 

  20. Wei, C., Ren, Z., Rodríguez, R.M.: A hesitant fuzzy linguistic TODIM method based on a score function. Int. J. Comput. Int. Syst. 8(4), 701–712 (2015)

    Article  Google Scholar 

  21. Wang, J., Wang, J.Q., Zhang, H.Y.: A likelihood-based TODIM approach based on multi-hesitant fuzzy linguistic information for evaluation in logistics outsourcing. Comput. Ind. Eng. 99(C), 287–299 (2016)

    Article  Google Scholar 

  22. Tian, Z.P., Wang, J., Wang, J.Q., Zhang, H.Y.: A likelihood-based qualitative flexible approach with hesitant fuzzy linguistic information. Cogn. Comput. 8(4), 670–683 (2016)

    Article  Google Scholar 

  23. 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 sets. Inf. Sci. 280, 338–351 (2014)

    Article  MathSciNet  Google Scholar 

  24. Wang, J., Wang, J.Q., Zhang, H.Y., Chen, X.H.: Multi-criteria decision-making based on hesitant fuzzy linguistic term sets: an outranking approach. Knowl. Based Syst. 86, 224–236 (2015)

    Article  Google Scholar 

  25. Pamučar, D., Ćirović, G.: The selection of transport and handling resources in logistics centers using multi-attributive border approximation area comparison (MABAC). Expert Syst. Appl. 42(6), 3016–3028 (2015)

    Article  Google Scholar 

  26. Xu, G., Liu, F.: An approach to group decision making based on interval multiplicative and fuzzy preference relations by using projection. Appl. Math. Model 37(6), 3929–3943 (2013)

    Article  MathSciNet  Google Scholar 

  27. Xu, Z., Hu, H.U.I.: Projection models for intuitionistic fuzzy multiple attribute decision making. Int. J. Inf. Technol. Decis. 09(02), 267–280 (2010)

    Article  Google Scholar 

  28. Ji, P., Zhang, H.Y., Wang, J.Q.: A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection. Neural Comput. Appl. (2016). doi:10.1007/s00521-016-2436-z

    Article  Google Scholar 

  29. Yue, Z.: An intuitionistic fuzzy projection-based approach for partner selection. Appl. Math. Model 37(23), 9538–9551 (2013)

    Article  MathSciNet  Google Scholar 

  30. Zhang, X., Jin, F., Liu, P.: A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number. Appl. Math. Model 37(5), 3467–3477 (2013)

    Article  MathSciNet  Google Scholar 

  31. Ye, J.: Simplified neutrosophic harmonic averaging projection-based method for multiple attribute decision-making problems. Int. J. Mach. Learn. Cybern. 8(3), 981–987 (2017)

    Article  Google Scholar 

  32. Bonferroni, C.: Sulle medie multiple di potenze. Boll. un. mat. ital 5(3), 267–270 (1950)

  33. Yager, R.R.: On generalized Bonferroni mean operators for multi-criteria aggregation. Int. J. Approx. Reason 50(8), 1279–1286 (2009)

    Article  MathSciNet  Google Scholar 

  34. Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(6), 529–539 (2010)

    MATH  Google Scholar 

  35. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning-I. Inf. Sci. 8(3), 199–249 (1975)

    Article  MathSciNet  Google Scholar 

  36. Liao, H., Xu, Z., 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 

  37. Xu, Z.: Linguistic Decision Making: Theory and Methods. Science Press, Beijing (2012)

    Book  Google Scholar 

  38. Xu, Z.: Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Inf. Sci. 168(1–4), 171–184 (2004)

    Article  Google Scholar 

  39. Liao, H., Xu, Z., Xia, M.: Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making. Int. J. Inf. Technol. Decis. 13(1), 47–76 (2014)

    Article  Google Scholar 

  40. 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 

  41. Gou, X., Xu, Z., Liao, H.: Multiple criteria decision making based on Bonferroni means with hesitant fuzzy linguistic information. Soft Comput. (2016). doi:10.1007/s00500-016-2211-1

    Article  MATH  Google Scholar 

  42. Gou, X., Xu, Z.: Novel basic operational laws for linguistic terms, hesitant fuzzy linguistic term sets and probabilistic linguistic term sets. Inf. Sci. 372, 407–427 (2016)

    Article  Google Scholar 

  43. Gou, X., Liao, H., Xu, Z., Herrera, F.: Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: a case of study to evaluate the implementation status of haze controlling measures. Inf. Fusion 38, 22–34 (2017)

    Article  Google Scholar 

  44. Peng, X., Yang, Y.: Pythagorean fuzzy choquet integral based MABAC method for multiple attribute group decision making. Int. J. Intell. Syst. 31(10), 989–1020 (2016)

    Article  Google Scholar 

  45. Bozanic, D., Pamučar, D., Karović, S.: Use of the fuzzy AHP-MABAC hybrid model in ranking potential locations for preparing laying-up positions. Mil Tech Course 64(3), 705–729 (2016)

    Google Scholar 

  46. Xue, Y.X., You, J.X., Lai, X.D., Liu, H.C.: An interval-valued intuitionistic fuzzy MABAC approach for material selection with incomplete weight information. Appl. Soft Comput. 38(11), 703–713 (2016)

    Article  Google Scholar 

  47. Peng, X., Dai, J.: Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function. Neural Comput. Appl. (2016). doi:10.1007/s00521-016-2607-y

    Article  Google Scholar 

  48. Yu, S.M., Wang, J., Wang, J.Q.: An interval type-2 fuzzy likelihood-based MABAC approach and its application in selecting hotels on a tourism website. Int. J. Fuzzy Syst. 19(1), 47–61 (2016)

    Article  MathSciNet  Google Scholar 

  49. Gigović, L., Pamučar, D., Božanić, D., Ljubojević, S.: Application of the GIS-DANP-MABAC multi-criteria model for selecting the location of wind farms: a case study of Vojvodina, Serbia. Renew. Energy 103, 501–521 (2017)

    Article  Google Scholar 

  50. Yue, Z., Jia, Y.: A direct projection-based group decision-making methodology with crisp values and interval data. Soft Comput. 21(9), 2395–2405 (2017)

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to thank the editors and the anonymous reviewers for their useful comments and valuable suggestions that helped us improve this paper. This work was supported by the National Natural Science Foundation of China (Nos. 71371196 and 71210003).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Junhua Hu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sun, R., Hu, J., Zhou, J. et al. A Hesitant Fuzzy Linguistic Projection-Based MABAC Method for Patients’ Prioritization. Int. J. Fuzzy Syst. 20, 2144–2160 (2018). https://doi.org/10.1007/s40815-017-0345-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-017-0345-7

Keywords

Navigation