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Discussion on Natural Fuzzy Extension and Joint Fuzzy Extension of the Rational Function

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Fuzzy Information and Engineering 2010

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

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Abstract

According to the knowledge of interval analysis, relations between natural fuzzy extension and joint fuzzy extension of rational function are discussed in this paper . On the basis of the natural fuzzy extension of rational function , two solutions to the joint fuzzy extension of rational function are put forward. Based on the structured element method, the fuzzy arithmetic with equality constraints is turned into the operation of two monotone functions with the same monotonic form on [0,1]. From this transition we get analytical expression of joint fuzzy extension of the rational function.

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Authors and Affiliations

  1. Department of Applied Mathematics, LiaoNing Technical University, Fuxin, 123000, China

    Shihui Wang & Sizong Guo

Authors
  1. Shihui Wang
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  2. Sizong Guo
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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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Wang, S., Guo, S. (2010). Discussion on Natural Fuzzy Extension and Joint Fuzzy Extension of the Rational Function. 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_8

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  • DOI: https://doi.org/10.1007/978-3-642-14880-4_8

  • 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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