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Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing pp 102–111Cite as

On the Nearness Measures of Near Sets

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9437))

Abstract

In this paper, we focus our discussion on the nearness measures of near set approach. Some existing nearness measure is normalized with its basic properties being discussed. The connections between nearness relations and rough approximations are surveyed. The notions of strong nearness relations with respect to indiscernibility relation and weak indiscernibility relation are introduced. Some new nearness measures with respect to nearness relations and strong nearness relations are presented.

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Acknowledgements

This work has been supported by the National Natural Science Foundation of China (Grant No. 61473239, 61175044), the Fundamental Research Funds for the Central Universities of China (Grant No. 2682014ZT28) and the Open Research Fund of Key Laboratory of Xihua University (szjj2014-052).

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Authors and Affiliations

  1. College of Mathematics, Southwest Jiaotong University, Chengdu, 610031, Sichuan, China

    Keyun Qin & Bo Li

Authors
  1. Keyun Qin
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  2. Bo Li
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Correspondence to Keyun Qin .

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Editors and Affiliations

  1. University of Regina, Regina, SK, Canada

    Yiyu Yao

  2. Tianjin University, Tianjin, China

    Qinghua Hu

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

    Hong Yu

  4. University of Kansas, Lawrence, KS, USA

    Jerzy W. Grzymala-Busse

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Qin, K., Li, B. (2015). On the Nearness Measures of Near Sets. In: Yao, Y., Hu, Q., Yu, H., Grzymala-Busse, J.W. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. Lecture Notes in Computer Science(), vol 9437. Springer, Cham. https://doi.org/10.1007/978-3-319-25783-9_10

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  • DOI: https://doi.org/10.1007/978-3-319-25783-9_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25782-2

  • Online ISBN: 978-3-319-25783-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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