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Optimal Scale Selections in Consistent Generalized Multi-scale Decision Tables

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Rough Sets (IJCRS 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10313))

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Abstract

A generalized multi-scale information table is an attribute-value system in which each object under each attribute is represented by different scales at different levels of granulations having a granular information transformation from a finer to a coarser labeled value. In such table, diverse attributes have different numbers of levels of scales. In this paper, information granules and optimal scale selections in consistent generalized multi-scale decision tables are studied. The concept of scale combinations in generalized multi-scale information tables is first reviewed. Representation of information granules in generalized multi-scale information tables is then shown. Lower and upper approximations with reference to different levels of granulations in multi-scale information tables are further defined and their properties are presented. Finally, belief and plausibility functions in the Dempster-Shafer theory of evidence are used to characterize optimal scale selections in consistent generalized multi-scale decision tables.

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Acknowledgement

This work was supported by grants from the National Natural Science Foundation of China (Nos. 61573321, 41631179, and 61602415) and the Open Foundation from Marine Sciences in the Most Important Subjects of Zhejiang (No. 20160102).

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Authors and Affiliations

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

    You-Hong Xu, Wei-Zhi Wu & Anhui Tan

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

    You-Hong Xu, Wei-Zhi Wu & Anhui Tan

Authors
  1. You-Hong Xu
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  2. Wei-Zhi Wu
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  3. Anhui Tan
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Corresponding author

Correspondence to Wei-Zhi Wu .

Editor information

Editors and Affiliations

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

    Lech Polkowski

  2. University of Regina, Regina, SK, 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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Xu, YH., Wu, WZ., Tan, A. (2017). Optimal Scale Selections in Consistent Generalized Multi-scale Decision Tables. In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10313. Springer, Cham. https://doi.org/10.1007/978-3-319-60837-2_15

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  • DOI: https://doi.org/10.1007/978-3-319-60837-2_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60836-5

  • Online ISBN: 978-3-319-60837-2

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