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An Approach to BMBJ-Neutrosophic Hyper-BCK-Ideals of Hyper-BCK-Algebras

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  • Abdelaziz Alsubie
  • Anas Al-Masarwah
  • Young Bae Jun
  • Abd Ghafur Ahmad
  • Feng Feng

Abstract

In this article, a new idea of BMBJ-neutrosophic hyper-BCK-algebras is introduced and some of its properties are investigated. Here, BMBJ-neutrosophic hyper-BCK-ideal, BMBJ-neutrosophic weak hyper-BCK-ideal, BMBJ-neutrosophic s-weak hyper-BCK-ideal, and BMBJ-neutrosophic strong hyper-BCK-ideal are presented, and some relevant results and relations are indicated. Characterizations of BMBJ-neutrosophic (weak, s-weak, strong) hyper-BCK-ideal are considered. Conditions for a BMBJ-neutrosophic weak hyper-BCK-ideal to be a BMBJ-neutrosophic s-weak hyper-BCK-ideal are provided. Conditions for an MBJ-neutrosophic set to be a BMBJ-neutrosophic strong hyper-BCK-ideal are given.

Suggested Citation

  • Abdelaziz Alsubie & Anas Al-Masarwah & Young Bae Jun & Abd Ghafur Ahmad & Feng Feng, 2021. "An Approach to BMBJ-Neutrosophic Hyper-BCK-Ideals of Hyper-BCK-Algebras," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, May.
    • Handle: RePEc:hin:jjmath:5552060
    DOI: 10.1155/2021/5552060
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