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Fuzzy Measures and Granular Computing

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Rough Set and Knowledge Technology (RSKT 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6401))

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Abstract

From the view point of granular computing, by analyzing the structure of fuzzy measures based on the quotient space analytical method, we have the following results: (1) the necessary and sufficient condition of the isomorphism of fuzzy measure functions in fuzzy mathematics; (2) the necessary and sufficient condition of the fuzzy and granular monotony of fuzzy measures. The results open out the essence of fuzzy measures and provide a simple way to constructing fuzzy measures. The results also show that the quotient space analytical method is ubiquitous and effective in many fields.

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Author information

Authors and Affiliations

  1. School of Computer Science and Technology, Anhui University, Hefei, China, Tsinghua National Lab for Information Science and Technology, Tsinghua University, Beijing, China

    Ling Zhang & Bo Zhang

Authors
  1. Ling Zhang
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  2. Bo Zhang
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Editor information

Editors and Affiliations

  1. School of Computer and Information Technology, Beijing Jiaotong University, 100044, Beijing, China

    Jian Yu

  2. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco

  3. Department of Mathematics and Computing Science, Saint Mary’s University, B3H 3C3, Halifax, Nova Scotia, Canada

    Pawan Lingras

  4. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, 400065, Chongqing, China

    Guoyin Wang

  5. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

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© 2010 Springer-Verlag Berlin Heidelberg

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Zhang, L., Zhang, B. (2010). Fuzzy Measures and Granular Computing. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds) Rough Set and Knowledge Technology. RSKT 2010. Lecture Notes in Computer Science(), vol 6401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16248-0_102

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  • DOI: https://doi.org/10.1007/978-3-642-16248-0_102

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16247-3

  • Online ISBN: 978-3-642-16248-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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