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The Rough Membership Function on One Type of Covering-Based Rough Sets and Its Applications

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Book cover Rough Sets (IJCRS 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10314))

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Abstract

In this paper, we use an example in evidence-based medicine to illustrate the practical application backgrounds of Pawlak’s rough membership function in real life. By this example, we also point out the limitations of Pawlak’s rough membership function in real life applications and the necessity for constructing rough membership functions for covering-based rough sets. Then, we construct covering-based rough membership function for one type of covering-based rough sets which was examined by Bonikowski et al. (Inf Sci 107:149–167, 1998), and use it to characterize the covering-based rough set approximations numerically. We not only present theoretical backgrounds for this covering-based rough membership function, but also show that this covering-based rough membership function is more realistic than Pawlak’s rough membership function in applications of real life.

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Acknowledgment

This work is supported by the National Natural Science Foundation of China (nos. 11301367, 11501404, 61440047, 61562079), Jiangsu Province Natural Science Foundation (no. BK20140583), Natural Science Foundation of Guangxi (no. 2014GXNSFBA118015), Key Laboratory Program of Guangxi University (no. 2016CSOBDP0004), and the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Authors and Affiliations

  1. School of Mathematical Sciences, Soochow University, Suzhou, 215006, People’s Republic of China

    Xun Ge

  2. School of Computer Science and Engineering, Xinjiang University of Finance and Economics, Ürümqi, 830012, People’s Republic of China

    Jianguo Tang

  3. Department of Mathematics and Information Sciences, Yulin Normal University, Yulin, 537000, People’s Republic of China

    Pei Wang

Authors
  1. Xun Ge
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  2. Jianguo Tang
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  3. Pei Wang
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Corresponding author

Correspondence to Pei Wang .

Editor information

Editors and Affiliations

  1. Polish-Japanese Academy of Information Technology, Warsaw, Poland

    Lech Polkowski

  2. University of Regina, Regina, Saskatchewan, Canada

    Yiyu Yao

  3. University of Warmia and Mazury, Olsztyn, Poland

    Piotr Artiemjew

  4. University of Milano-Bicocca, Milano, Italy

    Davide Ciucci

  5. Southwest Jiaotong University, Chengdu, China

    Dun Liu

  6. Warsaw University, Warszawa, Poland

    Dominik Ślęzak

  7. Silesian University, Sosnowiec, Poland

    Beata Zielosko

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Ge, X., Tang, J., Wang, P. (2017). The Rough Membership Function on One Type of Covering-Based Rough Sets and Its Applications. In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10314. Springer, Cham. https://doi.org/10.1007/978-3-319-60840-2_4

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  • DOI: https://doi.org/10.1007/978-3-319-60840-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60839-6

  • Online ISBN: 978-3-319-60840-2

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