In this paper, we first introduce the concept of quasi-coincidence of an intuitionistic fuzzy point within an intuition- istic fuzzy set. By using this new idea, we further introduce the notions of (∈, ∈∨ q)-intuitionistic fuzzy BCI-subalgebras of BCI-algebras and investigate some of their related properties. Some characterization theorems of these generalized intuitionis- tic fuzzy BCI-subalgebras are derived. Then we study the cartesian product of (∈, ∈∨ q)-intuitionistic fuzzy BCI-subalgebras. Finally, we introduce the homomorphism of intuitionistic fuzzy BCI-algebras, and prove that image and inverse image of an intuitionistic fuzzy set on a BCI-algebra should be an (∈, ∈∨ q)-intuitionistic fuzzy BCI-subalgebra on the basis of homomorphism of BCI-algebra.
['Chiranjibe Jana', 'Tapan Senapati', 'Madhumangal Pal']
(∈, ∈∨ q)-intuitionistic fuzzy BCI-subalgebras of a BCI-algebra