1. Ordered subalgebras of ordered BCI-algebras based on the MBJ-neutrosophic structure
- Author
-
Eunsuk Yang, Eun Hwan Roh, and Young Bae Jun
- Subjects
ordered bci-algebra ,ordered subalgebra ,mbj-neutrosophic ordered subalgebra ,mbj-ordered subalgebras ,neutrosophic set ,Mathematics ,QA1-939 ,Electronic computers. Computer science ,QA75.5-76.95 - 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.
- Published
- 2023
- Full Text
- View/download PDF