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Intuitionistic Fuzzy Subbialgebras and Duality

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  • Wenjuan Chen
  • Bijan Davvaz

Abstract

We investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy subcoalgebra structure. Secondly we investigate the related properties of intuitionistic fuzzy subbialgebras. Finally we prove that the dual of an intuitionistic fuzzy strong subbialgebra is an intuitionistic fuzzy strong subbialgebra.

Suggested Citation

  • Wenjuan Chen & Bijan Davvaz, 2014. "Intuitionistic Fuzzy Subbialgebras and Duality," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:523245
    DOI: 10.1155/2014/523245
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    References listed on IDEAS

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    1. Wenjuan Chen & Yanyong Guan, 2012. "The Dual of Generalized Fuzzy Subspaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Wenjuan Chen & Yanyong Guan, 2012. "The Dual of Generalized Fuzzy Subspaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, August.
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