Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 1
STUDY STRONG SHEFFER STROKE NON-ASSOCIATIVE MV-ALGEBRAS BY FUZZY FILTERS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 165–187
- DOI
- —
Abstract
In this paper, some types of fuzzy filters of a strong Sheffer stroke non-associative MV-algebra (for short, strong Sheffer stroke NMV-algebra) are introduced. By presenting new properties of filters, we define a prime filter in this algebraic structure. Then (prime) fuzzy filters of a strong Sheffer stroke NMV-algebra are determined and some features are proved. Finally, we built quotient strong Sheffer stroke NMV-algebra by a fuzzy filter.