journal-of-discrete-mathematical-sciences-and-cryptography

Journal of Discrete Mathematical Sciences and Cryptography

2169-0065 0972-0529

Taru Publications

10.47974/JDMSC-2125

On intuitionistic fuzzy BZ-ideals in BZ-algebras

Almwail

Huda

Department of Mathematics, Faculty of Education for Girls, University of Kufa, Kufa, Iraq Khalil

Shuker

Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq

28 4-A 1181 1186

26 06 2025

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.

BZ-algebra Intuitionistic fuzzy set BZ-sualgebra BZ-ideal Operations

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