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Ordered subalgebras of ordered BCI-algebras based on the MBJ-neutrosophic structure
- Source :
- Neutrosophic Sets and Systems, Vol 63, Pp 1-16 (2023)
- Publication Year :
- 2023
- Publisher :
- University of New Mexico, 2023.
-
Abstract
- The neutrosophic set consists of three fuzzy sets called true membership function, false membership function and indeterminate membership function. MBJ-neutrosophic structure is a structure constructed using interval-valued fuzzy set instead of indeterminate membership function in the neutrosophic set. In general, the indeterminate part appears in a wide range. So instead of treating the indeterminate part as a single value, it is treated as an interval value, allowing a much more comprehensive processing. In an attempt to apply the MBJ-neutrosophic structure to ordered BCI-algebras, the notion of MBJ-neutrosophic (ordered) subalgebras is introduced and their properties are studied. The relationship between MBJ-neutrosophic subalgebra and MBJ-neutrosophic ordered subalgebra is established, and MBJ-neutrosophic ordered subalgebra is formed using (intuitionistic) fuzzy ordered subalgebra.
Details
- Language :
- English
- ISSN :
- 23316055 and 2331608X
- Volume :
- 63
- Database :
- Directory of Open Access Journals
- Journal :
- Neutrosophic Sets and Systems
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.4e379b1ba9384a1494276ddcce903240
- Document Type :
- article
- Full Text :
- https://doi.org/10.5281/zenodo.10531712