1. Bipolar Fuzzy Set Theory Applied to the Certain Ideals in BCI-Algebras.
- Author
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Abughazalah, N., Muhiuddin, G., Elnair, Mohamed E. A., and Mahboob, A.
- Subjects
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SET theory , *ARITHMETIC , *MATHEMATICS , *COMMUTATIVE algebra , *SYMMETRY - 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]
- Published
- 2022
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