Neutrosophic N-structures on strong Shefer stroke non-associative MV

Authors

  • Tahsin Oner Department of Mathematics, Ege University, 35100 _Izmir, Turkey
  • Tugce Katican Department of Mathematics, Ege University, 35100 _Izmir, Turkey
  • Akbar Rezaei Department of Mathematics, Payame Noor Universirty

Keywords:

strong Sheffer stroke non-associative MV-algebra, filter, neutrosophic N-subalgebra, neutrosophic N-filter

Abstract

 The aim of the study is to examine a neutrosophic N -subalgebra, a neutrosophic N -filter, level sets of these neutrosophic N -structures and their properties on a strong Sheffer stroke non-associative MV-algebra. We show that the level set of neutrosophic N -subalgebras on this algebra is its strong Sheffer stroke nonassociative MV-subalgebra and vice versa. Then it is proved that the family of all neutrosophic N -subalgebras of a strong Sheffer stroke non-associative MV-algebra forms a complete distributive lattice. By defining a neutrosophic N -filter of a strong Sheffer stroke non-associative MV-algebra, it is presented that every neutrosophic N -filter of a strong Sheffer stroke non-associative MV-algebra is its neutrosophic N -subalgebra but the inverse is generally not true, and some properties

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Published

2021-02-28

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Oner, T., Katican, T. ., & Rezaei, A. (2021). Neutrosophic N-structures on strong Shefer stroke non-associative MV. Neutrosophic Sets and Systems, 40, 235-252. https://fs.unm.edu/nss8/index.php/111/article/view/822