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Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets

  • Received: 11 June 2021 Accepted: 13 July 2021 Published: 30 July 2021
  • MSC : 06F35, 03G25, 03E72

  • The MBJ-neutrosophic set is applied to the implicative ideal of BCK-algebra to introduce the concept of implicative MBJ-neutrosophic ideal. Several properties are investigated. The relationship between implicative MBJ-neutrosophic ideal and each MBJ-neutrosophic subalgebra, (positive implicative, commutative) MBJ-neutrosophic ideal is established. Conditions for MBJ-neutrosophic subalgebra (resp., MBJ-neutrosophic ideal, positive implicative MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal) to be implicative MBJ-neutrosophic ideal are provided. Characterizations of implicative MBJ-neutrosophic ideal are discussed.

    Citation: M. Mohseni Takallo, Rajab Ali Borzooei, Seok-Zun Song, Young Bae Jun. Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets[J]. AIMS Mathematics, 2021, 6(10): 11029-11045. doi: 10.3934/math.2021640

    Related Papers:

  • The MBJ-neutrosophic set is applied to the implicative ideal of BCK-algebra to introduce the concept of implicative MBJ-neutrosophic ideal. Several properties are investigated. The relationship between implicative MBJ-neutrosophic ideal and each MBJ-neutrosophic subalgebra, (positive implicative, commutative) MBJ-neutrosophic ideal is established. Conditions for MBJ-neutrosophic subalgebra (resp., MBJ-neutrosophic ideal, positive implicative MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal) to be implicative MBJ-neutrosophic ideal are provided. Characterizations of implicative MBJ-neutrosophic ideal are discussed.



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