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Implicative ideals of BCK-algebras based on MBJ-neutrosophic setsopen access
- Issue Date
- Oct-2021
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- MBJ-neutrosophic set; MBJ-neutrosophic ideal; commutative MBJ-neutrosophic ideal; implicative MBJ-neutrosophic ideal; positive implicative MBJ-neutrosophic ideal; MBJ-neutrosophic subalgebra
- Citation
- AIMS MATHEMATICS, v.6, no.10, pp 11029 - 11045
- Pages
- 17
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 6
- Number
- 10
- Start Page
- 11029
- End Page
- 11045
- ISSN
- 2473-6988
2473-6988
- Abstract
- 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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