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Solving Fully Fuzzy Systems by Fuzzy Structured Element Method

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Book cover Fuzzy Information and Engineering 2010

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 78))

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Abstract

Using fuzzy structured element method we investigate a fully fuzzy linear system whose coefficient matrix is a fuzzy matrix and right–hand side column is an arbitrary fuzzy vector. According to homeomorphic property between the bounded fuzzy number and the standard monotonic function family with same monotonic form on [-1,1], replace the fully fuzzy linear system by a parametric linear system. Based on the constraint arithmetic operation of fuzzy numbers, the exact fuzzy solutions are obtained by an elimination method. The applicability and superiority of this method are illustrated by two examples.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Systems Science, College of Science, Liaoning Technical University, Fuxin, 123000, China

    Xiaohua Peng & Xinghan Tu

Authors
  1. Xiaohua Peng
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  2. Xinghan Tu
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Editor information

Editors and Affiliations

  1. School of Mathematics and Information Science Guangzhou Higher Education Mega Center , Guangzhou University, 230Wai Huan Xi Road, ZIP 510006, Guangdong, China

    Bing-yuan Cao

  2. Shaanxi Normal University, China

    Guo-jun Wang

  3. Institute of Mathematics and Systems Science, Liaoning Technical University , 123000, China

    Si-zong Guo

  4. School of Science, Jimei University , 361021, Xiamen, Fujian, China

    Shui-li Chen

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© 2010 Springer-Verlag Berlin Heidelberg

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Peng, X., Tu, X. (2010). Solving Fully Fuzzy Systems by Fuzzy Structured Element Method. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_17

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  • DOI: https://doi.org/10.1007/978-3-642-14880-4_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14879-8

  • Online ISBN: 978-3-642-14880-4

  • eBook Packages: EngineeringEngineering (R0)

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