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Concept Approximation Based on Rough Sets and Judgment

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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

We discuss an approach of concept approximation based on judgment rather than on partial containment of sets only. This approach seems to be much more general than the traditional one. However, it requires developing some new logical tools for reasoning based on judgment, which is often expressed in natural language.

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Notes

  1. 1.

    The 2011 winner of the ACM Turing Award, the highest distinction in computer science, “for his fundamental contributions to the development of computational learning theory and to the broader theory of computer science” (http://people.seas.harvard.edu/~valiant/researchinterests.htm).

  2. 2.

    More general cases are considered, e.g., in articles [11, 12].

References

  1. Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundam. Inform. 27(2–3), 245–253 (1996). https://doi.org/10.3233/FI-1996-272311

    Article  MathSciNet  MATH  Google Scholar 

  2. Skowron, A., Jankowski, A., Swiniarski, R.W.: Foundations of rough sets, pp. 331–348. [3]

    Chapter  Google Scholar 

  3. Kacprzyk, J., Pedrycz, W. (eds.): Springer Handbook of Computational Intelligence. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-43505-2

    Book  MATH  Google Scholar 

  4. Napierala, K., Stefanowski, J.: Types of minority class examples and their influence on learning classifiers from imbalanced data. J. Intell. Inf. Syst. 46, 563–597 (2016). https://doi.org/10.1007/s10844-015-0368-1

    Article  Google Scholar 

  5. Paula Branco, L.T., Ribeiro, R.P.: A survey of predictive modeling on imbalanced domains. ACM Comput. Surv. 49, 1–50 (2016). https://doi.org/10.1145/2907070

    Article  Google Scholar 

  6. He, H., Ma, Y. (eds.): Imbalanced Learning: Foundations, Algorithms, and Applications. Wiley, Hoboken (2013)

    MATH  Google Scholar 

  7. Zadeh, L.A.: From computing with numbers to computing with words - from manipulation of measurements to manipulation of perceptions. IEEE Trans. Circ. Syst. 45, 105–119 (1999)

    Article  MathSciNet  Google Scholar 

  8. Pearl, J.: Causal inference in statistics: an overview. Stat. Surv. 3, 96–146 (2009). https://doi.org/10.1214/09-SS057

    Article  MathSciNet  MATH  Google Scholar 

  9. Skowron, A., Dutta, S.: Rough sets: past, present, and future. Nat. Comput. 17, 855–876 (2018). https://doi.org/10.1007/s11047-018-9700-3

    Article  MathSciNet  Google Scholar 

  10. Martin, W.M. (ed.): Theories of Judgment. Psychology, Logic, Phenomenology. Cambridge University Press, New York (2006). https://doi.org/10.1017/CBO9780511487613

    Book  Google Scholar 

  11. Skowron, A., Stepaniuk, J.: Approximation spaces in rough-granular computing. Fundam. Inform. 100, 141–157 (2010). https://doi.org/10.3233/FI-2010-267

    Article  MathSciNet  MATH  Google Scholar 

  12. Skowron, A., Stepaniuk, J., Swiniarski, R.: Modeling rough granular computing based on approximation spaces. Inf. Sci. 184, 20–43 (2012). https://doi.org/10.1016/j.ins.2011.08.001

    Article  MATH  Google Scholar 

  13. Borowska, K., Stepaniuk, J.: Granular computing and parameters tuning in imbalanced data preprocessing. In: Saeed, K., Homenda, W. (eds.) CISIM 2018. LNCS, vol. 11127, pp. 233–245. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-99954-8_20

    Chapter  Google Scholar 

  14. Skowron, A., Jankowski, A.: Interactive computations: toward risk management in interactive intelligent systems. Nat. Comput. 15(3), 465–476 (2016). https://doi.org/10.1007/s11047-015-9486-5

    Article  MathSciNet  Google Scholar 

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Acknowledgments

The work of Jaroslaw Stepaniuk was supported by the grant S/WI/1/2018 from Bialystok University of Technology and funded with resources for research by the Ministry of Science and Higher Education in Poland. The research of Andrzej Skowron was partially supported by the NCBiR grant POIR.01.02.00-00-0184/17-01.

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Correspondence to Andrzej Skowron .

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Stepaniuk, J., Góra, G., Skowron, A. (2019). Concept Approximation Based on Rough Sets and Judgment. 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_2

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  • DOI: https://doi.org/10.1007/978-3-030-22815-6_2

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  • Print ISBN: 978-3-030-22814-9

  • Online ISBN: 978-3-030-22815-6

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