Research Article

Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras

Number: 25 October 6, 2018
EN

Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras

Abstract

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.

Keywords

References

  1. [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. [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1), 1986,87-96.
  3. [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. [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. [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. [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. [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. [8] F. Smarandache, Neutrosophic set, a generalization of the intuitionistic fuzzy sets,Inter.J.PureAppl.Math., 24,2005,287-297 .

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ola Wageeh El–baseer This is me

Publication Date

October 6, 2018

Submission Date

May 15, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 25

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. https://izlik.org/JA65DB69BH
AMA
1.El–baseer OW, Mostafa SM. Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. JNT. 2018;(25):72-83. https://izlik.org/JA65DB69BH
Chicago
El–baseer, Ola Wageeh, and Samy Mohamed Mostafa. 2018. “Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras”. Journal of New Theory, nos. 25: 72-83. https://izlik.org/JA65DB69BH.
EndNote
El–baseer OW, Mostafa SM (October 1, 2018) Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. Journal of New Theory 25 72–83.
IEEE
[1]O. W. El–baseer and S. M. Mostafa, “Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras”, JNT, no. 25, pp. 72–83, Oct. 2018, [Online]. Available: https://izlik.org/JA65DB69BH
ISNAD
El–baseer, Ola Wageeh - Mostafa, Samy Mohamed. “Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras”. Journal of New Theory. 25 (October 1, 2018): 72-83. https://izlik.org/JA65DB69BH.
JAMA
1.El–baseer OW, Mostafa SM. Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. JNT. 2018;:72–83.
MLA
El–baseer, Ola Wageeh, and Samy Mohamed Mostafa. “Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras”. Journal of New Theory, no. 25, Oct. 2018, pp. 72-83, https://izlik.org/JA65DB69BH.
Vancouver
1.Ola Wageeh El–baseer, Samy Mohamed Mostafa. Single Valued Neutrosophic Sub Implicative Ideals of KU-Algebras. JNT [Internet]. 2018 Oct. 1;(25):72-83. Available from: https://izlik.org/JA65DB69BH

 

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