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On Fuzzy α-I-Open Sets and a Decomposition of Fuzzy Continuity

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Fuzzy Information and Engineering Volume 2

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

Abstract

In this paper, we introduce and study the notion of fuzzy α-I-open sets, which is properly placed between fuzzy openness and fuzzy α-openness regardless the fuzzy topological ideal. We have deduced some characterization theorems for such concepts exactly analogous to general topology. And we define the notion of fuzzy α-I-continuous function via fuzzy α-I-open sets and some of its properties are investigated. At last, we give a decomposition of fuzzy continuity by using fuzzy α-I-continuous function.

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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). On Fuzzy α-I-Open Sets and a Decomposition of Fuzzy Continuity. 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_59

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  • DOI: https://doi.org/10.1007/978-3-642-03664-4_59

  • 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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