Positive Implicative, Implicative, and Commutative SB-Neutrosophic Ideals in BCK/BCI-Algebras

被引：0
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作者：
Satyanarayana, B. [1 ]
Baji, Shake [2 ]
机构：
[1] Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Andhra Pradesh, Guntur,522510, India
[2] Department of Mathematics, Sir C. R. Reddy College of Engineering, Andhra Pradesh, Eluru,534007, India
来源：
IAENG International Journal of Applied Mathematics | 2024年 / 54卷 / 05期
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摘要：
This article introduces the notions of positive implicative SB-neutrosophic ideal, implicative SB-neutrosophic ideal, and commutative SB-neutrosophic ideal in the context of BCK/BCI-algebras. We establish conditions for an SB-neutrosophic set to be a positive implicative SB-neutrosophic ideal, an implicative SB-neutrosophic ideal, and a commutative SB-neutrosophic ideal. The relationships between SB-neutrosophic ideal and positive implicative SB-neutrosophic ideal, SB-neutrosophic ideal and implicative SB-neutrosophic ideal, as well as SB-neutrosophic ideal and commutative SB-neutrosophic ideal, are explored. Characterizations of the positive implicative SB-neutrosophic ideal, the implicative SB-neutrosophic ideal, and the commutative SB-neutrosophic ideal are provided. Moreover, the extension property for both positive implicative and implicative SB-neutrosophic ideals is examined. © (2024), (International Association of Engineers). All Rights Reserved.
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页码：815 / 830
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