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β-Compactness in L-Fuzzy Topological Spaces

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Fuzzy Information and Engineering Volume 2

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 62))

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Abstract

In this paper, β-compactness is introduced in L-topological spaces, where L is a fuzzy lattice. And its topological properties are systematically studied. This β-compactness is defined for arbitrary L-subsets. The intersection of a β-compact L-fuzzy subset and a β-closed L-fuzzy subset is β-compact. This β-compactness is a good extension. Also we obtain different characterizations and study some of its properties.

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Author information

Authors and Affiliations

  1. Department of Mathematics, School of Science, University of Jinan, Jinan, 250022, P.R. China

    Bin Chen

  2. School of Mathematics, ShanDong University, Jinan, 250014, P.R. China

    Shou-li Jiang

Authors
  1. Bin Chen
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  2. Shou-li Jiang
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Editor information

Editors and Affiliations

  1. Guangzhou University, China

    Bingyuan Cao

  2. Chongqing University of Science and Technology, Chongqing, PR China

    Tai-Fu Li

  3. Hainan Normal University, Hainan, PR China

    Cheng-Yi Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Chen, B., Jiang, Sl. (2009). β-Compactness in L-Fuzzy Topological Spaces. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_58

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  • DOI: https://doi.org/10.1007/978-3-642-03664-4_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03663-7

  • Online ISBN: 978-3-642-03664-4

  • eBook Packages: EngineeringEngineering (R0)

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