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Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring

Author

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  • Hongjie Li
  • Zeyuan Li
  • Yunqiang Yin

Abstract

Some generalized forms of the hyperideals of a hyperring in the paper of Zhan et al. (2008) will be given. As a generalization of the interval valued (α, β)‐fuzzy hyperideals of a hyperring with α, β ∈ {∈, q, ∈∧q, ∈∨q} and α ≠ ∈∧q, the notion of generalized interval valued (α, β)‐fuzzy hyperideals of a hyperring is also introduced. Special attention is concentrated on the interval valued (∈γ~,∈γ~∨qδ~ )‐fuzzy hyperideals. As a consequence, some characterizations theorems of interval valued (∈γ~,∈γ~∨qδ~ )‐fuzzy hyperideals will be provided.

Suggested Citation

  • Hongjie Li & Zeyuan Li & Yunqiang Yin, 2014. "Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:173267
    DOI: 10.1155/2014/173267
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    References listed on IDEAS

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    1. Leoreanu, V., 2000. "Direct limit and inverse limit of join spaces associated with fuzzy sets," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 11(3), pages 509-516.
    2. Marc Krasner, 1983. "A class of hyperrings and hyperfields," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 6, pages 1-5, January.
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