The concepts of intuitionistic fuzzy BZ – ideal (IFBZ – I) in BZ – algebra (BZ – A) and intuitionistic fuzzy BZ – subalgebra (IFBZ – SA) will be presented and analyzed in this work. Furthermore, the operations on (IFBZ – SA) will be examined. In this study, we demonstrate that for any t ∈ [0,1], if the t – cut of intuitionistic fuzzy π is a (BZ – A), then π is (IFBZ – SA) of X. Also, if π is (IFBZ – SA) of X, then t-cut of intuitionistic fuzzy π is a (BZ – A) of X, for any t ∈ [0,1]. Also, some results about the concepts of this work are shown.
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