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MBJ-neutrosophic ideals of <i>BCK/BCI</i>-algebrasopen access
- Authors
- Jun, Young Bae; Roh, Eun Hwan
- Issue Date
- Nov-2019
- Publisher
- Walter de Gruyter GmbH
- Keywords
- MBJ-neutrosophic set; MBJ-neutrosophic subalgebra; MBJ-neutrosophic ideal; MBJ-neutro-sophic omicron-subalgebra
- Citation
- Open Mathematics, v.17, pp 588 - 601
- Pages
- 14
- Indexed
- SCIE
SCOPUS
- Journal Title
- Open Mathematics
- Volume
- 17
- Start Page
- 588
- End Page
- 601
- ISSN
- 2391-5455
- Abstract
- The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for anMBJ-neutrosophic set to be anMBJ-neutrosophic ideal are provided. In a BCK/BCI-algebra, a condition for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal is given. In a BCK-algebra, a condition for an MBJ-neutrosophic subalgebra to be an MBJ-neutrosophic ideal is given. In a BCI-algebra, conditions for an MBJ-neutrosophic ideal to be an MBJ-neutrosophic subalgebra are considered. In an (S)-BCK-algebra, we show that every MBJ-neutrosophic ideal is an MBJ-neutrosophic omicron-subalgebra, and a characterization of an MBJ-neutrosophic ideal is established.
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