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Multigranulation rough set model in hesitant fuzzy information systems and its application in person-job fit

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Abstract

Person-job fit is a significant issue in the variety of critical business intelligence applications that aims to match suitable professional abilities with job demands for each job seeker, and many studies based on fuzzy sets have been developed on this topic. Among different types of fuzzy sets, hesitant fuzzy sets are usually utilized to handle situations in which experts hesitate among several values to evaluate an alternative. Recently, various hesitant fuzzy decision making methods have been established, but none of them can be used to solve group decision making problems by means of the multigranulation rough set model and the TODIM (an acronym in Portuguese of interactive and multi-criteria decision making) approach. Thus, to solve problems of hesitant fuzzy information analysis and group decision making for person-job fit, we construct a new multigranulation rough set model, named hesitant fuzzy multigranulation rough sets, through combining hesitant fuzzy sets with multigranulation rough sets. Then in order to express the decision making knowledge base more reasonably, we extend the proposed model from single universe to two universes. At last, by utilizing the TODIM approach, we propose a general decision making method that is applied to person-job fit, and the effectiveness of the proposed decision making method is demonstrated by a case study.

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References

  1. Ashfaq RAR, Wang X, Huang JZ, Abbas H, He Y (2017) Fuzziness based semi-supervised learning approach for intrusion detection system. Inform Sci 378:484–497

    Article  Google Scholar 

  2. Bustince H, Barrenechea E, Pagola M, Fernandez J, Xu Z, Bedregal B, Montero J, Hagras H, Herrera F, Baets BD (2016) A historical account of types of fuzzy sets and their relationships. IEEE Trans Fuzzy Syst 24(1):179–194

    Article  Google Scholar 

  3. Chen D, Zhang D (2014) Structure of feature spaces related to fuzzy similarity relations as kernels. Fuzzy Sets Syst 237(237):90–95

    Article  MathSciNet  MATH  Google Scholar 

  4. Dubois D, Prade H (1990) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17(2–3):191–209

    Article  MATH  Google Scholar 

  5. Farhadinia B (2013) A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems. Int J Intell Syst 28(8):752–767

    Article  Google Scholar 

  6. Feng T, Mi J (2016) Variable precision multigranulation decision-theoretic fuzzy rough sets. Knowl-Based Syst 91:93–101

    Article  Google Scholar 

  7. Gomes LFAM, Lima MMPP (1992) Todim: basic and application to multicriteria ranking of projects with environmental impacts. Found Comput Decis Sci 16(4):113–127

    MATH  Google Scholar 

  8. Han T, Chiang H, Mcconville D, Chiang C (2015) A longitudinal investigation of person-organization fit, person-job fit, and contextual performance: the mediating role of psychological ownership. Hum Perform 28(5):425–439

    Article  Google Scholar 

  9. He Y, Wang X, Huang JZ (2016a) Fuzzy nonlinear regression analysis using a random weight network. Inf Sci 364:222–240

    Article  Google Scholar 

  10. He Y, Wang X, Huang JZ (2016b) Recent advances in multiple criteria decision making techniques. Int J Mach Learn Cybernet. https://doi.org/10.1007/s13042-015-0490-y:1-4

    Article  Google Scholar 

  11. Lu S, Wang X, Zhang G, Zhou X (2015) Effective algorithms of the moore-penrose inverse matrices for extreme learning machine. Intell Data Anal 19(4):743–760

    Article  Google Scholar 

  12. Pawlak Z (1982) Rough sets. Int J Comput Inform Sci 11(5):341–356

    Article  MATH  Google Scholar 

  13. Qian Y, Liang J, Yao Y, Dang C (2010) Mgrs: a multi-granulation rough set. Inf Sci 180(6):949–970

    Article  MathSciNet  MATH  Google Scholar 

  14. Qian Y, Li S, Liang J, Shi Z, Wang F (2014) Pessimistic rough set based decisions: a multigranulation fusion strategy. Inf Sci 264(6):196–210

    Article  MathSciNet  MATH  Google Scholar 

  15. Rodriguez RM, Martinez L, Torra V, Xu Z, Herrera F (2014) Hesitant fuzzy sets: state of the art and future directions. Int J Intell Syst 29(6):495–524

    Article  Google Scholar 

  16. Shao M, Leung Y, Wang X, Wu W (2016) Granular reducts of formal fuzzy contexts. Knowl-Based Syst 114:156–166

    Article  Google Scholar 

  17. Sun B, Ma W (2015) Rough approximation of a preference relation by multi-decision dominance for a multi-agent conflict analysis problem. Inf Sci 315:39–53

    Article  MathSciNet  MATH  Google Scholar 

  18. Sun B, Ma W (2017) Fuzzy rough set over multi-universes and its application in decision making. J Intell Fuzzy Syst 32(3):1719–1734

    Article  MATH  Google Scholar 

  19. Sun B, Ma W, Zhao H (2013) A fuzzy rough set approach to emergency material demand prediction over two universes. Appl Math Model 37(10):7062–7070

    Article  MathSciNet  MATH  Google Scholar 

  20. Sun B, Ma W, Chen X (2015) Fuzzy rough set on probabilistic approximation space over two universes and its application to emergency decision-making. Expert Syst 32(4):507–521

    Article  Google Scholar 

  21. Sun B, Ma W, Zhao H (2016a) An approach to emergency decision making based on decision-theoretic rough set over two universes. Soft Comput 20(9):3617–3628

    Article  Google Scholar 

  22. Sun B, Ma W, Zhao H (2016b) Rough set-based conflict analysis model and method over two universes. Inf Sci 372:111–125

    Article  Google Scholar 

  23. Sun B, Ma W, Qian Y (2017a) Multigranulation fuzzy rough set over two universes and its application to decision making. Knowl-Based Syst 123:61–74

    Article  Google Scholar 

  24. Sun B, Ma W, Xiao X (2017b) Three-way group decision making based on multigranulation fuzzy decision-theoretic rough set over two universes. Int J Approx Reason 81:87–102

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  26. Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision. In: IEEE International Conference on Fuzzy Systems on IEEE, pp 1378–1382

  27. Wang X (2015) Learning from big data with uncertainty—editorial. J Intell Fuzzy Syst 28(5):2329–2330

    Article  MathSciNet  Google Scholar 

  28. Wang X, He Y (2016) Learning from uncertainty for big data: future analytical challenges and strategies. IEEE Syst Man Cybern Mag 2(2):26–31

    Article  Google Scholar 

  29. Wang X, Huang JZ (2015) Editorial: uncertainty in learning from big data. Fuzzy Sets Syst 258:1–4

    Article  MathSciNet  MATH  Google Scholar 

  30. Wang X, Ashfaq RAR, Fu A (2015) Fuzziness based sample categorization for classifier performance improvement. J Intell Fuzzy Syst 29(3):1185–1196

    Article  MathSciNet  Google Scholar 

  31. Xia M, Xu Z (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52(3):395–407

    Article  MathSciNet  MATH  Google Scholar 

  32. Xu W, Sun W, Liu Y, Zhang W (2013) Fuzzy rough set models over two universes. Int J Mach Learn Cybernet 4(6):631–645

    Article  Google Scholar 

  33. Xu Y, Xu A, Wang H (2016) Hesitant fuzzy linguistic linear programming technique for multidimensional analysis of preference for multi-attribute group decision making. Int J Mach Learn Cybernet 7(5):845–855

    Article  Google Scholar 

  34. Yang X, Song X, Qi Y, Yang J (2014) Constructive and axiomatic approaches to hesitant fuzzy rough set. Soft Comput 18(6):1067–1077

    Article  MATH  Google Scholar 

  35. Zadeh LA (1965) Fuzzy sets. Inf Control 8(65):338–353

    Article  MATH  Google Scholar 

  36. Zadeh LA (1997) Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst 90(90):111–127

    Article  MathSciNet  MATH  Google Scholar 

  37. Zhai J, Zhang Y, Zhu H (2017) Three-way decisions model based on tolerance rough fuzzy set. Int J Mach Learn Cybernet 8(1):35–43

    Article  Google Scholar 

  38. Zhang C, Li D, Yan Y (2015) A dual hesitant fuzzy multigranulation rough set over two-universe model for medical diagnoses. Comput Math Methods Med 2015:1–12

    MathSciNet  MATH  Google Scholar 

  39. Zhang C, Li D, Liang J (2016a) Hesitant fuzzy linguistic rough set over two universes model and its applications. Int J Mach Learn Cybernet. https://doi.org/10.1007/s13042-016-0541-z:1-12

    Article  Google Scholar 

  40. Zhang C, Li D, Ren R (2016b) Pythagorean fuzzy multigranulation rough set over two universes and its applications in merger and acquisition. Int J Intell Syst 31(9):921–943

    Article  Google Scholar 

  41. Zhang C, Li D, Zhai Y (2016c) Multigranulation rough sets in hesitant fuzzy linguistic information systems. In: International Joint Conference on Rough Sets, vol 9920, Springer International Publishing, pp 307–317

  42. Zhang C, Zhai Y, Li D, Mu Y (2016d) Steam turbine fault diagnosis based on single-valued neutrosophic multigranulation rough sets over two universes. J Intell Fuzzy Syst 31(6):2829–2837

    Article  MATH  Google Scholar 

  43. Zhang C, Li D, Mu Y, Song D (2017a) An interval-valued hesitant fuzzy multigranulation rough set over two universes model for steam turbine fault diagnosis. Appl Math Model 42:1803–1816

    Article  MathSciNet  Google Scholar 

  44. Zhang C, Li D, Sangaiah AK, Broumi S (2017b) Merger and acquisition target selection based on interval neutrosophic multigranulation rough sets over two universes. Symmetry 9(7):126

    Article  Google Scholar 

  45. Zhang H, Shu L (2015) Generalized interval-valued fuzzy rough set and its application in decision making. Int J Fuzzy Syst 17(2):279–291

    Article  MathSciNet  Google Scholar 

  46. Zhang H, He Y, Xiong L (2016e) Multi-granulation dual hesitant fuzzy rough sets. J Intell Fuzzy Syst 30(2):623–637

    Article  MATH  Google Scholar 

  47. Zhang H, Shu L, Liao S (2016f) On interval-valued hesitant fuzzy rough approximation operators. Soft Comput 20(1):189–209

    Article  MATH  Google Scholar 

  48. Zhang H, Shu L, Liao S (2016g) Topological structures of interval-valued hesitant fuzzy rough set and its application. J Intell Fuzzy Syst 30(2):1029–1043

    Article  MATH  Google Scholar 

  49. Zhang H, Shu L, Liao S (2017c) Hesitant fuzzy rough set over two universes and its application in decision making. Soft Comput 21(7):1803–1816

    Article  MATH  Google Scholar 

  50. Zhang H, Shu L, Liao S, Cairang X (2017d) Dual hesitant fuzzy rough set and its application. Soft Comput 21(12):3287–3305

    Article  MATH  Google Scholar 

Download references

Acknowledgements

The authors thank the Editors-in-Chief and the anonymous referees for their valuable comments in improving this paper. The work was supported by the National Natural Science Foundation of China (Nos. 61672331, 61272095, 61303107, 61432011, 61573231) and the Natural Science Foundation of Shanxi (Nos. 201601D021076, 201601D021072, 2015091001-0102).

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Correspondence to Deyu Li.

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Zhang, C., Li, D., Zhai, Y. et al. Multigranulation rough set model in hesitant fuzzy information systems and its application in person-job fit. Int. J. Mach. Learn. & Cyber. 10, 717–729 (2019). https://doi.org/10.1007/s13042-017-0753-x

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