Neutrosophic filters in BE-algebras

Authors

  • Akbar Rezaei Department of Mathematics, Payame Noor University, P.O.BOX. 19395-3697, Tehran, Iran
  • Arsham Borumand Saeid Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
  • Florentin Smarandache University of New Mexico, Gallup, NM 87301, USA.

DOI:

https://doi.org/10.23755/rm.v29i1.23

Keywords:

BE-algebra, neutrosophic set, (implicative) neutrosophic filter.

Abstract

Inthispaper, weintroducethenotionof(implicative)neutrosophicfilters in BE-algebras. The relation between implicative neutrosophic filters and neutrosophic filters is investigated and we show that in self distributive BE-algebras these notions are equivalent.

References

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Published

2015-12-08

Issue

Section

Volume 29-2015