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Journal of Discrete Mathematical Sciences and Cryptography

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

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Journal of Discrete Mathematical Sciences and Cryptography
Open Access Research Article

On intuitionistic fuzzy BZ-ideals in BZ-algebras

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pp. 1181–1186Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2125 Crossmark XML
Received:
04 Dec 2024
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2125
Pages:
1181–1186

Abstract

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.

Keywords

BZ-algebraIntuitionistic fuzzy setBZ-sualgebraBZ-idealOperations

Subject Classifications

Primary 06F35Secondary 03G25

References

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