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Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets
- Takallo, M. Mohseni;
- Borzooei, Rajab Ali;
- Song, Seok-Zun;
- Jun, Young Bae
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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.
키워드
MBJ-neutrosophic set; MBJ-neutrosophic ideal; commutative MBJ-neutrosophic ideal; implicative MBJ-neutrosophic ideal; positive implicative MBJ-neutrosophic ideal; MBJ-neutrosophic subalgebra
- 제목
- Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets
- 저자
- Takallo, M. Mohseni; Borzooei, Rajab Ali; Song, Seok-Zun; Jun, Young Bae
- 발행일
- 2021-10
- 유형
- Article
- 저널명
- AIMS MATHEMATICS
- 권
- 6
- 호
- 10
- 페이지
- 11029 ~ 11045