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(∈ , ∈ ∨ q (λ, μ))-Fuzzy h-Ideals of Hemirings

  • Conference paper
Fuzzy Information and Engineering 2010

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

Abstract

The definitions of (∈ , ∈ ∨ q (λ,μ))-fuzzy left (resp. right) h-ideals of hemirings, generalized fuzzy left (resp. right) h-ideals of hemirings, prime (semiprime) (∈ , ∈ ∨ q (λ,μ))-left (resp. right) h-ideals of hemirings and prime (semiprime) generalized fuzzy left (resp. right) h-ideals of hemirings are given. Meanwhile, some fundamental properties of them are discussed. Finally, the implication-based fuzzy left (resp. right) h-ideals of hemirings are considered.

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Author information

Authors and Affiliations

  1. School of Science, Jiangnan University, 214122, Wuxi, China

    Zuhua Liao, Miaohan Hu, Mingli Rui & Shu Cao

  2. Department of Mathematics, State University of New York at Buffalo, Buffalo, New York, 14260, USA

    Zhenyu Liao

Authors
  1. Zuhua Liao
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  2. Miaohan Hu
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  3. Mingli Rui
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  4. Shu Cao
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  5. Zhenyu Liao
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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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Liao, Z., Hu, M., Rui, M., Cao, S., Liao, Z. (2010). (∈ , ∈ ∨ q (λ, μ))-Fuzzy h-Ideals of Hemirings. 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_4

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  • DOI: https://doi.org/10.1007/978-3-642-14880-4_4

  • 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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