Sheffer stroke operation on L-algebras via an algorithmic approach

Gürsoy N. K., Öner T., GÜRSOY A., ÜLKER A.

Soft Computing, vol.28, no.19, pp.10801-10813, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 19
  • Publication Date: 2024
  • Doi Number: 10.1007/s00500-024-09906-6
  • Journal Name: Soft Computing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.10801-10813
  • Istanbul Kültür University Affiliated: Yes

Abstract

In this study, we introduce the Sheffer stroke L-algebra and prove some fundamental theorems, propositions and lemmas of Sheffer Stroke L-algebras. The notions of filter and ultrafilter for Sheffer stroke L-algebra are studied. We give subalgebra and normal subset definitions of a Sheffer stroke L-algebras. Moreover, a homomorphism between Sheffer stroke L-algebras is introduced and isomorphism theorems are presented. Finally, we give three new algorithms for Sheffer stroke L-algebras. Thus, it is contributed to researchers on different application areas by presenting an algorithmic approach on this subject, for the first time in the literature.