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Bipolar Fuzzy Set Theory Applied to the Certain Ideals in BCI-Algebras.
- Source :
- Symmetry (20738994); Apr2022, Vol. 14 Issue 4, pN.PAG-N.PAG, 14p
- Publication Year :
- 2022
-
Abstract
- The study of symmetry is one of the most important and beautiful themes uniting various areas of contemporary arithmetic. Algebraic structures are useful structures in pure mathematics for learning a geometrical object's symmetries. In this paper, we introduce new concepts in an algebraic structure called BCI-algebra, where we present the concepts of bipolar fuzzy (closed) BCI-positive implicative ideals and bipolar fuzzy (closed) BCI-commutative ideals of BCI-algebras. The relationship between bipolar fuzzy (closed) BCI-positive implicative ideals and bipolar fuzzy ideals is investigated, and various conditions are provided for a bipolar fuzzy ideal to be a bipolar fuzzy BCI-positive implicative ideal. Furthermore, conditions are presented for a bipolar fuzzy (closed) ideal to be a bipolar fuzzy BCI-commutative ideal. [ABSTRACT FROM AUTHOR]
- Subjects :
- SET theory
ARITHMETIC
MATHEMATICS
COMMUTATIVE algebra
SYMMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 14
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 156624573
- Full Text :
- https://doi.org/10.3390/sym14040815