Neutrosophic N-Structures Applied to Sheffer Stroke BL-Algebras  

作　　者：Tugce Katican Tahsin Oner Akbar Rezaei Florentin Smarandache 

机构地区：[1]Department of Mathematics,Ege University,Izmir,35100,Turkey [2]Department of Mathematics,Payame Noor University,Tehran,19395-4697,Iran [3]Department of Mathematics and Science,University of New Mexico,Gallup,87301,NM,USA

出　　处：《Computer Modeling in Engineering & Sciences》2021年第10期355-372,共18页工程与科学中的计算机建模（英文）

摘　　要：In this paper,we introduce a neutrosophic N-subalgebra,a(ultra)neutrosophic N-filter,level sets of these neutrosophic N-structures and their properties on a Sheffer stroke BL-algebra.By defining a quasi-subalgebra of a Sheffer stroke BL-algebra,it is proved that the level set of neutrosophic N-subalgebras on the algebraic structure is its quasi-subalgebra and vice versa.Then we show that the family of all neutrosophic N-subalgebras of a Sheffer stroke BL-algebra forms a complete distributive lattice.After that a(ultra)neutrosophic N-filter of a Sheffer stroke BL-algebra is described,we demonstrate that every neutrosophic N-filter of a Sheffer stroke BL-algebra is its neutrosophic N-subalgebra but the inverse is generally not true.Finally,it is presented that a level set of a(ultra)neutrosophic N-filter of a Sheffer stroke BL-algebra is also its(ultra)filter and the inverse is always true.Moreover,some features of neutrosophic N-structures on a Sheffer stroke BL-algebra are investigated.

关 键 词：Sheffer stroke BL-algebra (ultra)filter neutrosophic N-subalgebra (ultra)neutrosophic N-filter 

分 类 号：O15[理学—数学]