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Ranking Fuzzy Numbers Based on Ideal Solution

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Fuzzy Information and Engineering

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

Abstract

In this paper,we consider the factor of the decision maker’s risk preference, and define the left and right deviation degree,respectively.Besides we propose the new formula of the fuzzy degree.Then we get the multiattribute matrix of fuzzy numbers. Making use of ideal solution we rank fuzzy numbers.Some numerical examples are displayed to illustrate the validity and advantage of the proposed ranking method.

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Author information

Authors and Affiliations

  1. School of Math. and Inform. Science, Guang** Univ., Nanning, 530004, P.R. China

    Zhong-xin Wang & Ya-ni Mo

Authors
  1. Zhong-xin Wang
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  2. Ya-ni Mo
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Editor information

Editors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 230Wai Huan ** 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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Wang, Zx., Mo, Yn. (2009). Ranking Fuzzy Numbers Based on Ideal Solution. 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_26

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_26

  • 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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