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Variable Precision Multi-granularity Rough Soft Sets Based on Multiple Thresholds

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 12511))

Abstract

In this paper the concepts of variable precision rough soft sets and variable precision multi-granularity rough soft sets are proposed. Based on this, considering set different fault tolerance thresholds for different knowledge granularity, a variable precision multi-granularity rough soft set model based on multiple thresholds is also proposed, and some basic properties are presented. Finally, the application of the model in decision-making is also discussed with an example.

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References

  1. Pawlak, Z.: Rough sets. Int. J. Parallel Program. 11(5), 341–356 (1982)

    MATH  Google Scholar 

  2. Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)

    Article  Google Scholar 

  3. Molodtsov, D.: Soft set theory—first results. Comput. Math. Appl. 19–31 (1999)

    Google Scholar 

  4. Ziarko, W.: Variable precision rough set model. J. Comput. Syst. Sci. 46, 39–59 (1993)

    Article  MathSciNet  Google Scholar 

  5. Qian, Y., Liang, J., Yao, Y., et al.: MGRS: a multi-granulation rough set. Inf. Sci. 180(6), 949–970 (2010)

    Article  MathSciNet  Google Scholar 

  6. Qian, Y.H., Liang, J.Y., Dang, C.Y.: Incomplete multi-granulation rough set. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 40(2), 420–431 (2010)

    Article  Google Scholar 

  7. Feng, F., Li, C., Davaz, B., et al.: Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft Comput. 14(9), 899–911 (2010)

    Google Scholar 

  8. Wang, X., Guo, C., Li, P., et al.: On rough Multi-granularity soft sets and its application in decision making. In: The 29th Chinese Control and Decision Conference, pp. 3046–3050 (2017)

    Google Scholar 

  9. Ali, M.: A note on soft sets, rough soft sets and fuzzy soft sets. Appl. Soft Comput. 11(4), 3329–3332 (2011)

    Article  Google Scholar 

  10. Zhan, J.M., Zhu, K.: Reviews on decision making methods based on (fuzzy)soft sets and rough soft sets. J. Intell. Fuzzy Syst. 29(3), 1169–1176 (2015)

    Article  MathSciNet  Google Scholar 

  11. Liu, Y., Qin, K., Martinez, L., et al.: Improving decision making approaches based on fuzzy soft sets and rough soft sets. Appl. Soft Comput. 320–332 (2018)

    Google Scholar 

  12. Wang, G.Y., Yao, Y.Y., Yu, H.: Summary of Rough Set Theory and Application Research. 32(7), 1229–1246 (2009)

    Google Scholar 

  13. Xu, Y., Li, C.: Variable precision multi-granularity rough set model based on multiple thresholds. Comput. Eng. Sci. 38(08), 1727–1734 (2016)

    Google Scholar 

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Correspondence to Xiaomin Wang .

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Wang, X., Shang, Y., Liu, Y., He, H. (2021). Variable Precision Multi-granularity Rough Soft Sets Based on Multiple Thresholds. In: Pang, C., et al. Learning Technologies and Systems. SETE ICWL 2020 2020. Lecture Notes in Computer Science(), vol 12511. Springer, Cham. https://doi.org/10.1007/978-3-030-66906-5_15

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  • DOI: https://doi.org/10.1007/978-3-030-66906-5_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-66905-8

  • Online ISBN: 978-3-030-66906-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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