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A Fuzzy Measure Based on Variable Precision Rough Sets

  • Conference paper
Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

Abstract

A variable precision rough set(VPRS) is an extension of a Pawlak rough set. By setting a threshold β, VPRS loosens the strict definition of approximate boundary in Pawlak rough sets. This paper deals with uncertainty of rough sets based on the VPRS model. A measure is first defined to characterize fuzziness of a set in an information system. A pair of lower and upper approximations based on the fuzzy measure are then defined. Properties of the fuzzy measure and approximations are also examined.

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Author information

Authors and Affiliations

  1. Information School, Zhejiang Ocean University, Zhoushan, Zhejiang, 316004, PR, China

    Shen-Ming Gu & Xiao-Qiu Tan

  2. Artificial Intelligence Institute, Zhejiang University, Hangzhou, Zhejiang, 310027, PR, China

    Shen-Ming Gu & Ji Gao

Authors
  1. Shen-Ming Gu
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  2. Ji Gao
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  3. Xiao-Qiu Tan
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Editor information

Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Gu, SM., Gao, J., Tan, XQ. (2007). A Fuzzy Measure Based on Variable Precision Rough Sets. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_87

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_87

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

  • eBook Packages: EngineeringEngineering (R0)

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