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Probabilistic Fuzzy Hypernear-Rings

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

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Abstract

In this paper, using the concept of T-fuzzy hyperideals of hypernear-rings, we define a probabilistic version of hypernear-rings using random sets and show that fuzzy hyperideals defined in triangular norms are consequences of probabilistic hyperideals under certain conditions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Hubei Institute for Nationalities,Enshi, Hubei Province, 445000, P.R. China

    Xueling Ma & Jianming Zhan

  2. Department of Applied Mathematics, Southwest Jiaotong University,Chengdu, Sichuan 610031, P.R. China

    Yang Xu

Authors
  1. Xueling Ma
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  2. Jianming Zhan
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  3. Yang Xu
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Editor information

Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Ma, X., Zhan, J., Xu, Y. (2007). Probabilistic Fuzzy Hypernear-Rings. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_32

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

  • eBook Packages: EngineeringEngineering (R0)

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