Research Article
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Ideals and Filters in Neutrosophic Lattices

Year 2020, Volume: 1 Issue: 1, 30 - 36, 31.01.2020

Abstract

In this paper, we give ideal and filter definitions for neutrosophic lattices for the first time. We extend neutrosophic ideals and filters of neutrosophic lattices to pure neutrosophic lattices to obtain more flexible definitions.

References

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  • Zadeh L.A., Fuzzy sets, Information and Control, 8(3), 338–353, 1965.
  • Atanassov K.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96, 1986.
  • Smarandache F., A unifying field in logics: Neutrosophic logic, Philosophy, 1999.
  • Birkhoff G., Lattice Theory, American Mathematical Society Colloquium Publications, XXV, 1967.
  • Kandasamy V., Smarandache F., Neutrosophic lattices, Neutrosophic Sets and Systems, 2, 42–47, 2013.
  • Parveen M. R., Sekar P., Neutrosophic semilattices and their properties, Neutrosophic Sets and Systems, 65, 2015.
Year 2020, Volume: 1 Issue: 1, 30 - 36, 31.01.2020

Abstract

References

  • Cantor G., Ueber eine eigenschaft des inbegriffs aller reelen algebraischen zahlen, Journal für die Reine und Angewandte Mathematik, 77, 258–262, 1874.
  • Zadeh L.A., Fuzzy sets, Information and Control, 8(3), 338–353, 1965.
  • Atanassov K.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96, 1986.
  • Smarandache F., A unifying field in logics: Neutrosophic logic, Philosophy, 1999.
  • Birkhoff G., Lattice Theory, American Mathematical Society Colloquium Publications, XXV, 1967.
  • Kandasamy V., Smarandache F., Neutrosophic lattices, Neutrosophic Sets and Systems, 2, 42–47, 2013.
  • Parveen M. R., Sekar P., Neutrosophic semilattices and their properties, Neutrosophic Sets and Systems, 65, 2015.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Selçuk Topal 0000-0001-7074-2569

Merve Gökçen Sönmez

Publication Date January 31, 2020
Published in Issue Year 2020 Volume: 1 Issue: 1

Cite

19113 FCMS is licensed under the Creative Commons Attribution 4.0 International Public License.