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

Articles > Article · 2022

Authors: Tahsin ÖNER, Tugce Katican, Arsham Borumand Saeid

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, Journal Indexed in SCI Expanded, International, WoS, 2022, vol 71, pp 165-187

DOI: 10.31801/cfsuasmas.900312

Summary

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.

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