Intuitionistic Fuzzy Subbialgebras and Duality

Wenjuan Chen; Bijan Davvaz

doi:10.1155/2014/523245

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Home > Journals > J. Appl. Math. > Volume 2014 > Article

2014 Intuitionistic Fuzzy Subbialgebras and Duality

Wenjuan Chen, Bijan Davvaz

J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/523245

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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.