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International Joint Conference on Rough Sets

IJCRS 2016: Rough Sets pp 209–218Cite as

Variance Based Determination of Three-Way Decisions Using Probabilistic Rough Sets

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9920))

Abstract

The probabilistic rough sets is an important generalization of rough sets where a pair of thresholds is used to form new rough regions. The pair of thresholds controls different quality related criteria such as classification accuracy, precision, uncertainty, costs and risks of rough sets based three-way decision making. In this article, we introduce variance based criteria for determining the thresholds including within region variance, between region variance and ratio of the two variances. In particular, we examine the variance or spread in conditional probabilities of equivalence classes contained in different probabilistic regions. We also show that the determination of thresholds may be considered based on optimization of the proposed criteria.

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Acknowledgment

This work was partially supported by a Discovery Grant from NSERC Canada and a Startup Research Grant Program from HEC Pakistan.

Author information

Authors and Affiliations

  1. National University of Computer and Emerging Sciences, Peshawar, Pakistan

    Nouman Azam

  2. Department of Computer Science, University of Regina, Regina, S4S 0A2, Canada

    Jing Tao Yao

Authors
  1. Nouman Azam
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  2. Jing Tao Yao
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Corresponding author

Correspondence to Nouman Azam .

Editor information

Editors and Affiliations

  1. Universidad Católica del Norte, Antofagasta, Chile

    Víctor Flores

  2. University of Campinas, Campinas, SP, Brazil

    Fernando Gomide

  3. University of Warsaw, Warsaw, Poland

    Andrzej Janusz

  4. Universidad del Católica del Norte, Antofagasta, Chile

    Claudio Meneses

  5. Tongji University, Shanghai, China

    Duoqian Miao

  6. University of Applied Sciences, Munich, Germany

    Georg Peters

  7. University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

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

    Guoyin Wang

  9. Universidad de Chile, Santiago, Chile

    Richard Weber

  10. University of Regina, Regina, Saskatchewan, Canada

    Yiyu Yao

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Azam, N., Yao, J.T. (2016). Variance Based Determination of Three-Way Decisions Using Probabilistic Rough Sets. In: Flores, V., et al. Rough Sets. IJCRS 2016. Lecture Notes in Computer Science(), vol 9920. Springer, Cham. https://doi.org/10.1007/978-3-319-47160-0_19

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  • DOI: https://doi.org/10.1007/978-3-319-47160-0_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-47159-4

  • Online ISBN: 978-3-319-47160-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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