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Rough Approximations on Two Universes Under a Mapping

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Rough Sets (IJCRS 2019)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11499))

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Abstract

In this paper, the focus is on the relation-based rough sets on two universes. Two universes are connected with a mapping, by which a relation on one universe is constructed based on the relation on the another universe, so two relations on the different universes are induced. The relationships between the rough approximations based on the induced relations and the original relations are examined in detail.

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References

  1. Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11, 341–356 (1982)

    Article  Google Scholar 

  2. Yao, Y.Y.: Constructive and algebraic methods of theory of rough sets. Inf. Sci. 109, 21–47 (1998)

    Article  MathSciNet  Google Scholar 

  3. Slowinski, R., Vanderpooten, D.: A generalized definition of rough approximations based on similarity. IEEE Trans. Knowl. Data Eng. 12, 331–336 (2000)

    Article  Google Scholar 

  4. Zhang, Y.L., Luo, M.K.: Relationships between covering-based rough sets and relation-based rough sets. Inf. Sci. 225, 57–71 (2013)

    Article  MathSciNet  Google Scholar 

  5. Yao, Y.Y., Yao, B.: Covering based rough sets approximations. Inf. Sci. 200, 91–107 (2012)

    Article  MathSciNet  Google Scholar 

  6. Zhu, W., Wang, F.: The fourth type of covering-based rough sets. Inf. Sci. 201, 80–92 (2012)

    Article  MathSciNet  Google Scholar 

  7. Deer, L., Restrepo, M., Cornelis, C., Gomez, J.: Neighborhood operators for covering-based rough sets. Inf. Sci. 336, 21–44 (2016)

    Article  Google Scholar 

  8. Lin, G., Liang, J., Qian, Y.: Multigranulation rough sets: from partition to covering. Inf. Sci. 241, 101–118 (2013)

    Article  MathSciNet  Google Scholar 

  9. Wu, W., Leung, Y.: Optimal scale selection for multi-scale decision tables. Int. J. Approx. Reason. 54, 1107–1129 (2013)

    Article  MathSciNet  Google Scholar 

  10. Zhang, X., Miao, D., Liu, C., Le, M.: Constructive methods of rough approximation operators and multigranulation rough sets. Knowl. Based Syst. 91, 114–125 (2016)

    Article  Google Scholar 

  11. Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundam. Inform. 27, 245–253 (1996)

    MathSciNet  MATH  Google Scholar 

  12. Qin, K., Yang, J., Pei, Z.: Generalized rough sets based on reflexive and transitive relations. Inf. Sci. 178, 4138–4141 (2008)

    Article  MathSciNet  Google Scholar 

  13. Li, Z.W., Xie, T.S., Li, Q.G.: Topological structure of generalized rough sets. Comput. Math. Appl. 63, 1066–1071 (2012)

    Article  MathSciNet  Google Scholar 

  14. Yao, Y.Y.: Relational interpretations of neighborhood operators and rough set approximation operators. Inf. Sci. 111, 239–259 (1998)

    Article  MathSciNet  Google Scholar 

  15. Wu, W., Zhang, W.: Constructive and axiomatic approaches of fuzzy approximation operators. Inf. Sci. 159, 233–254 (2004)

    Article  MathSciNet  Google Scholar 

  16. Li, T., Zhang, W.X.: Rough fuzzy approximations on two universes of discourse. Inf. Sci. 178, 892–906 (2008)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  18. Sun, B.Z., Ma, W.M.: Multigranulation rough set theory over two universes. J. Intell. Fuzzy Syst. 28, 1251–1269 (2015)

    MathSciNet  MATH  Google Scholar 

  19. Dick, S., Schenker, A., Pedrycz, W., Kandel, A.: Regranulation: a granular algorithm enabling communication between granular worlds. Inf. Sci. 177, 408–435 (2007)

    Article  MathSciNet  Google Scholar 

  20. Wang, C., Wu, C.X., Chen, D., Hu, Q., Wu, C.: Communicating between information systems. Inf. Sci. 178, 3228–3239 (2008)

    Article  MathSciNet  Google Scholar 

  21. Wanga, C., Wu, C.X., Chen, D., Du, W.: Some properties of relation information systems under homomorphisms. Appl. Math. Lett. 21, 940–945 (2008)

    Article  MathSciNet  Google Scholar 

  22. Wang, C., Chen, D., Sun, B., Hu, Q.: Communication between information systems with covering based rough sets. Inf. Sci. 216, 17–33 (2012)

    Article  MathSciNet  Google Scholar 

  23. Wu, W.Z., Zhang, W.X.: Constructive and axiomatic approaches of fuzzy approximation operators. Inf. Sci. 159, 233–254 (2004)

    Article  MathSciNet  Google Scholar 

  24. Yao, Y.Y.: Constructive and algebraic methods of the theory of rough sets. Inf. Sci. 109, 21–47 (1998)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

This work was supported by grants from the National Natural Science Foundation of China (Nos. 61773349, 61573321, 61773208).

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Authors and Affiliations

  1. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, China

    Tong-Jun Li & Wei-Zhi Wu

  2. School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China

    Xiuyi Jia

  3. Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, China

    Tong-Jun Li & Wei-Zhi Wu

Authors
  1. Tong-Jun Li
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  2. Wei-Zhi Wu
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  3. Xiuyi Jia
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Corresponding author

Correspondence to Tong-Jun Li .

Editor information

Editors and Affiliations

  1. University of Debrecen, Debrecen, Hungary

    Tamás Mihálydeák

  2. Southwest Petroleum University, Chengdu, China

    Fan Min

  3. Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

  4. Indian Institute of Technology Kanpur, Kanpur, India

    Mohua Banerjee

  5. Fujian Normal University, Fuzhou, China

    Ivo Düntsch

  6. University of Rzeszów, Rzeszow, Poland

    Zbigniew Suraj

  7. University of Milano-Bicocca, Milan, Italy

    Davide Ciucci

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Li, TJ., Wu, WZ., Jia, X. (2019). Rough Approximations on Two Universes Under a Mapping. In: Mihálydeák, T., et al. Rough Sets. IJCRS 2019. Lecture Notes in Computer Science(), vol 11499. Springer, Cham. https://doi.org/10.1007/978-3-030-22815-6_12

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  • DOI: https://doi.org/10.1007/978-3-030-22815-6_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-22814-9

  • Online ISBN: 978-3-030-22815-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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