Study strong Sheffer stroke non-associative MV-algebras by fuzzy filters

Year 2022, Volume: 71 Issue: 1, 165 - 187, 30.03.2022

Tahsin Öner , Tugce Katican , Arsham Borumand Saeıd

https://doi.org/10.31801/cfsuasmas.900312

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.

Keywords

Sheffer operation, strong Sheffer stroke NMV-algebra, fuzzy filter

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