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Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras

Yıl 2018, Sayı: 25, 72 - 83, 06.10.2018

Ola Wageeh El–baseer Samy Mohamed Mostafa

Öz

We consider the concepts single valued neutrosophic of sub-implicative ideals in KU-algebras, and investigate some related properties. We give conditions for a single valued neutrosophic ideal to be a single valued neutrosophic sub-implicative ideal. We show that any single valued neutrosophic sub-implicative ideal is a single valued neutrosophic ideal, but the converse is not true. Using a level set of a single valued neutrosophic set in a KU-algebra, we give a characterization of single valued neutrosophic sub-implicative ideal.

Anahtar Kelimeler

Single valued neutrosophic sub-algebra Single valued neutrosophic ku-ideal of KU-ideals

Kaynakça

  • [1] A. A. A. Agboola and B. Davvaz, Introduction to Neutrosophic BCI/BCK-Algebras, Int. J. Math. Math. Sci., (2015), 6 pages, Article ID 370267.
  • [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1), 1986,87-96.
  • [3] B. Davvaz , S. M. Mostafa and F.Kareem. Neutrosophic ideals of neutrosophic KUalgebras Gazi University Journal of Science 30(4): 463-472 (2017)
  • [4] S. M. Mostafa, M. A. Abdel Naby and O. R. Elgendy. Intuitionistic fuzzy KU-ideals in KU-algebras Int. J. of Mathematical Sciences and Applications,Vol. 1, No. 3, September 2011
  • [5] S. M. Mostafa, M. A. Abd-Elnaby and M. M. M. Yousef. Fuzzy Ideals of KUAlgebras, Int. Math. Forum, 6(63)(2011), 3139-3149.
  • [6] S. M. Mostafa, R. A. K. Omar , O. W. Abd El- Baseer, Sub implicative ideals of KUAlgebras, International Journal of Modern Science and Technology Vol. 2, No. 5, 2017. Page 223-227.
  • [7] F. Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy ,Neutrosophic Logic , Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA(2002) .
  • [8] F. Smarandache, Neutrosophic set, a generalization of the intuitionistic fuzzy sets,Inter.J.PureAppl.Math., 24,2005,287-297 .
  • [9] F.Smarandache, A Unifying Field in Logics: Neutrosophic Logic,Neutrosophy, Neutrosophic Set, Neutrosophic Probability,American Research Press, Rehoboth, NM, USA, 2003.
  • [10] C. Prabpayak and U. Leerawat, On ideals and congruence in KU-algebras, scientia Magna Journal, Vol. 5(2009), No.1, 54-57.
  • [11] C. Prabpayak and U. Leerawat, On isomorphisms of KU-algebras, scientiamagna journal, 5(2009), no .3, 25-31.
  • [12] H. Wang, F. Smarandache, Y. Zhang, R. Sunderraman, Single valued neutrosophic sets. Technical sciences and applied Mathematics, 2012, 10-14.
  • [13] N. Yaqoob, S. M. Mostafa and M. A. Ansari, On cubic KU-ideals of KU-algebras, ISRN Algebra, (2013) Article ID935905, 10 pages.
  • [14] Zadeh L.A., 1965, Fuzzy sets, Inform. Control, 8, pp. 338–353.

Yıl 2018, Sayı: 25, 72 - 83, 06.10.2018

Ola Wageeh El–baseer Samy Mohamed Mostafa

Öz

Kaynakça

  • [1] A. A. A. Agboola and B. Davvaz, Introduction to Neutrosophic BCI/BCK-Algebras, Int. J. Math. Math. Sci., (2015), 6 pages, Article ID 370267.
  • [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1), 1986,87-96.
  • [3] B. Davvaz , S. M. Mostafa and F.Kareem. Neutrosophic ideals of neutrosophic KUalgebras Gazi University Journal of Science 30(4): 463-472 (2017)
  • [4] S. M. Mostafa, M. A. Abdel Naby and O. R. Elgendy. Intuitionistic fuzzy KU-ideals in KU-algebras Int. J. of Mathematical Sciences and Applications,Vol. 1, No. 3, September 2011
  • [5] S. M. Mostafa, M. A. Abd-Elnaby and M. M. M. Yousef. Fuzzy Ideals of KUAlgebras, Int. Math. Forum, 6(63)(2011), 3139-3149.
  • [6] S. M. Mostafa, R. A. K. Omar , O. W. Abd El- Baseer, Sub implicative ideals of KUAlgebras, International Journal of Modern Science and Technology Vol. 2, No. 5, 2017. Page 223-227.
  • [7] F. Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy ,Neutrosophic Logic , Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA(2002) .
  • [8] F. Smarandache, Neutrosophic set, a generalization of the intuitionistic fuzzy sets,Inter.J.PureAppl.Math., 24,2005,287-297 .
  • [9] F.Smarandache, A Unifying Field in Logics: Neutrosophic Logic,Neutrosophy, Neutrosophic Set, Neutrosophic Probability,American Research Press, Rehoboth, NM, USA, 2003.
  • [10] C. Prabpayak and U. Leerawat, On ideals and congruence in KU-algebras, scientia Magna Journal, Vol. 5(2009), No.1, 54-57.
  • [11] C. Prabpayak and U. Leerawat, On isomorphisms of KU-algebras, scientiamagna journal, 5(2009), no .3, 25-31.
  • [12] H. Wang, F. Smarandache, Y. Zhang, R. Sunderraman, Single valued neutrosophic sets. Technical sciences and applied Mathematics, 2012, 10-14.
  • [13] N. Yaqoob, S. M. Mostafa and M. A. Ansari, On cubic KU-ideals of KU-algebras, ISRN Algebra, (2013) Article ID935905, 10 pages.
  • [14] Zadeh L.A., 1965, Fuzzy sets, Inform. Control, 8, pp. 338–353.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Ola Wageeh El–baseer

Samy Mohamed Mostafa

Yayımlanma Tarihi 6 Ekim 2018
Gönderilme Tarihi 15 Mayıs 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 25

Kaynak Göster

APA El–baseer, O. W., & Mostafa, S. M. (2018). Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. Journal of New Theory(25), 72-83.
AMA El–baseer OW, Mostafa SM. Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. JNT. Ekim 2018;(25):72-83.
Chicago El–baseer, Ola Wageeh, ve Samy Mohamed Mostafa. “Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras”. Journal of New Theory, sy. 25 (Ekim 2018): 72-83.
EndNote El–baseer OW, Mostafa SM (01 Ekim 2018) Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. Journal of New Theory 25 72–83.
IEEE O. W. El–baseer ve S. M. Mostafa, “Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras”, JNT, sy. 25, ss. 72–83, Ekim 2018.
ISNAD El–baseer, Ola Wageeh - Mostafa, Samy Mohamed. “Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras”. Journal of New Theory 25 (Ekim 2018), 72-83.
JAMA El–baseer OW, Mostafa SM. Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. JNT. 2018;:72–83.
MLA El–baseer, Ola Wageeh ve Samy Mohamed Mostafa. “Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras”. Journal of New Theory, sy. 25, 2018, ss. 72-83.
Vancouver El–baseer OW, Mostafa SM. Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. JNT. 2018(25):72-83.
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