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Journal of Information and Optimization Sciences

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Journal of Information and Optimization Sciences
Open Access Research Article

(∈, ∈ ∨ q)-Hesitant anti-intuitionistic fuzzy soft ideals of BCK-algebras

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pp. 1277–1300Vol. 47Issue 4April 2026DOI: 10.47974/JIOS-1393XML
Received:
10 May 2022
Published Online:
03 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1393
Pages:
1277–1300

Abstract

The class of algebras known as algebras of logic includes a variety of algebraic structures. The logical algebras BCK and BCI belong to two different classes. They were introduced by Imai and Iséki [13, 14] in 1966 and have been extensively investigated by many researchers. The concept of fuzzy soft sets (FSSs) is introduced in [21] to generalized standard soft sets [25]. The concept of intuitionistic fuzzy soft sets (IFSSs) is introduced by Maji et al. [22], which is based on a combination of the intuitionistic fuzzy set (IFS) [4] and soft set models. In this paper, we apply the idea of hesitant intuitionistic fuzzy soft sets (HIFSSs) for dealing with some types of theories in BCK-algebras. The views of hesitant anti-intuitionistic fuzzy soft commutative ideals (HAIFSCIs) and hesitant anti-intuitionistic fuzzy soft prime ideals (HAIFSPIs) of BCK-algebras are presented and interrelated properties are examined. Relations between hesitant anti-intuitionistic fuzzy soft ideals (HAIFSIs) and HAIFSCIs are studied. Furthermore, the characterization of HAIFSPI is a HAIFSI. Finally, the concept of (∈, ∈ ∨ q) -intuitionistic fuzzy prime ideals (IFPIs) of BCK-algebras are introduced and several properties are investigated.

Keywords

BCK-algebraHesitant fuzzy soft setHesitant intuitionistic fuzzy soft setHesitant intuitionistic fuzzy soft idealHesitant intuitionistic fuzzy soft commutative idealHesitant intuitionistic fuzzy soft prime ideal and (∈∈ ∨ q) -hesitant intuitionistic fuzzy soft prime ideal

Subject Classifications

06F3508A72

References

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