In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a $ BCK/BCI $-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper $ BCK $-algebra. The notions of the MBJ-neutrosophic hyper $ BCK $-ideal, the MBJ-neutrosophic weak hyper $ BCK $-ideal, the MBJ-neutrosophic s-weak hyper $ BCK $-ideal and the MBJ-neutrosophic strong hyper $ BCK $-ideal are introduced herein, and their relations and properties are investigated. These notions are discussed in connection with the MBJ-neutrosophic level cut sets.
Citation: Abdelaziz Alsubie, Anas Al-Masarwah. MBJ-neutrosophic hyper $ BCK $-ideals in hyper $ BCK $-algebras[J]. AIMS Mathematics, 2021, 6(6): 6107-6121. doi: 10.3934/math.2021358
In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a $ BCK/BCI $-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper $ BCK $-algebra. The notions of the MBJ-neutrosophic hyper $ BCK $-ideal, the MBJ-neutrosophic weak hyper $ BCK $-ideal, the MBJ-neutrosophic s-weak hyper $ BCK $-ideal and the MBJ-neutrosophic strong hyper $ BCK $-ideal are introduced herein, and their relations and properties are investigated. These notions are discussed in connection with the MBJ-neutrosophic level cut sets.
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Abdelaziz Alsubie, Anas Al-Masarwah. MBJ-neutrosophic hyper $ BCK $-ideals in hyper $ BCK $-algebras[J]. AIMS Mathematics, 2021, 6(6): 6107-6121. doi: 10.3934/math.2021358
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