Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures
Copyright policy )Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures
As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras. In this article, MBJ-neutrosophic set is used to study commutative ideal in BCI-algebras. The concept of closed MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal is introduced and their properties and relationships are studied. The conditions for an MBJ-neutrosophic ideal to be a commutative MBJ-neutrosophic ideal are given. The conditions for an MBJ-neutrosophic ideal to be a closed MBJ-neutrosophic ideal are provided. Characterization of a commutative MBJ-neutrosophic ideal is established. Finally, the extension property for a commutative MBJ-neutrosophic ideal is founded.
- Adıyaman University Turkey
- Gyeongsang National University Korea (Republic of)
- Jeju National University Korea (Republic of)
Intuitionistic Fuzzy Sets, MBJ-neutrosophic ideal, Commutative property, Generalization, Social Sciences, Set (abstract data type), Epistemology, Multi-Criteria Decision Making, Management Science and Operations Research, Mathematical analysis, Decision Sciences, Fuzzy Logic and Residuated Lattices, QA1-939, FOS: Mathematics, Ideal (ethics), MBJ-neutrosophic set; MBJ-neutrosophic subalgebra; MBJ-neutrosophic ideal; commutative MBJ-neutrosophic ideal, Algebra over a field, MBJ-neutrosophic set, Application of Soft Set Theory in Decision Making, Pure mathematics, commutative MBJ-neutrosophic ideal, Computer science, FOS: Philosophy, ethics and religion, Programming language, Philosophy, Computational Theory and Mathematics, Computer Science, Physical Sciences, MBJ-neutrosophic subalgebra, Mathematics
Intuitionistic Fuzzy Sets, MBJ-neutrosophic ideal, Commutative property, Generalization, Social Sciences, Set (abstract data type), Epistemology, Multi-Criteria Decision Making, Management Science and Operations Research, Mathematical analysis, Decision Sciences, Fuzzy Logic and Residuated Lattices, QA1-939, FOS: Mathematics, Ideal (ethics), MBJ-neutrosophic set; MBJ-neutrosophic subalgebra; MBJ-neutrosophic ideal; commutative MBJ-neutrosophic ideal, Algebra over a field, MBJ-neutrosophic set, Application of Soft Set Theory in Decision Making, Pure mathematics, commutative MBJ-neutrosophic ideal, Computer science, FOS: Philosophy, ethics and religion, Programming language, Philosophy, Computational Theory and Mathematics, Computer Science, Physical Sciences, MBJ-neutrosophic subalgebra, Mathematics
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