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Solving Fuzzy Linear Systems Based on the Structured Element Method

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

Abstract

According to the structured element method, this paper investigates general fuzzy linear systems of the form Ax = y with A matrices of crisp coefficients and y fuzzy number vectors. The necessary and sufficient condition for a fuzzy solution existence is given.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Systems Science, Liaoning Technical University, Liaoning, 12300, P.R. China

    Xu-dong Sun & Si-zong Guo

Authors
  1. Xu-dong Sun
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  2. Si-zong Guo
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Editor information

Editors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 230Wai Huan Xi Road, 510006, China

    Bing-yuan Cao

  2. Department of Mathematics, Hainan Normal University, Haikou, 571158, Hainan, P.R. China

    Cheng-yi Zhang

  3. Department of Electronic Information Engineering, Chongqing University of Science & Technology, 401331, Chongqing

    Tai-fu Li

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© 2009 Springer-Verlag Berlin Heidelberg

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Sun, Xd., Guo, Sz. (2009). Solving Fuzzy Linear Systems Based on the Structured Element Method. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_34

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

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