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Solving General Fuzzy Linear Systems

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Fuzzy Information and Engineering

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

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Abstract

This paper investigates general fuzzy linear systems of the form Ax = y and general dual fuzzy linear systems of the form Ax + y = Bx + z with A, B matrices of crisp coefficients and y, z fuzzy number vectors. The aim of this paper is twofold. First, by the unique least Euclidean norm solution we solve the systems with no full rank matrices A, B. Second, We give the new necessary and sufficient conditions for a strong fuzzy solution existence. Moreover, some numerical examples are designed.

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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 General Fuzzy Linear Systems. 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_35

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_35

  • 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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