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Ideals and Filters in Neutrosophic Lattices

Yıl 2020, Cilt: 1 Sayı: 1, 30 - 36, 31.01.2020

Öz

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.

Kaynakça

  • 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.
Yıl 2020, Cilt: 1 Sayı: 1, 30 - 36, 31.01.2020

Öz

Kaynakça

  • 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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Articles
Yazarlar

Selçuk Topal 0000-0001-7074-2569

Merve Gökçen Sönmez

Yayımlanma Tarihi 31 Ocak 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 1 Sayı: 1

Kaynak Göster

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