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FURTHER RESULTS OF NEUTROSOPHIC SUBALGEBRAS IN BCK=BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS

Year 2020, Volume: 10 Issue: 1, 232 - 240, 01.01.2020

Abstract

In this paper, we investigate several properties of 2; 2 _q kT ;kI ;kF -neutrosophic subalgebra, 2; q kT ;kI ;kF -neutrosophic subalgebra, q kT ;kI ;kF ; 2 _q kT ;kI ;kF -neutrosophic subalgebra, and q kT ;kI ;kF ; 2 -neutrosophic subalgebra.

References

  • Borumand, S. A. and Jun, Y.B., (2017). Neutrosophic subalgebras of BCK/BCI-algebras based on neutrosophic points, Ann. Fuzzy Math. Inform., 14, pp. 87–97.
  • Huang, Y. S., (2006). BCI-algebra, Science Press, Beijing.
  • Jun, Y.B., (2017). Neutrosophic subalgebras of several types in BCK/BCI-algebras, Ann. Fuzzy Math. Inform., 14 (1), pp. 75–86.
  • Kim, S.J., Song, S.Z. and Jun, Y.B., (2018). Generalizations of neutrosophic subalgebras in BCK/BCI-algebras based on neutrosophic points, Neutrosophic Sets and Systems, 20, pp. 26–35.
  • Meng, J. and Jun, Y. B., (1994). BCK-algebra, Kyungmoon Sa Co. Seoul.
  • Muhiuddin, G., Smarandache, F. and Jun, Y. B., (2019). Neutrosophic quadruple ideals in neutro- sophic quadruple BCI-algebras, Neutrosophic Sets and Systems, 25, pp. 161–173.
  • Muhiuddin, G., Al-Kenani, A. N., Roh, E. H. and Jun, Y. B., (2019). Implicative neutrosophic quadruple BCK-algebras and ideals, Symmetry, 11, 277.
  • Muhiuddin, G., Kim, S. J. and Jun, Y. B., (2019). Implicative N-ideals of BCK-algebras based on neutrosophic N-structures, Discrete Mathematics, Algorithms and Applications, 11(1), 1950011.
  • Muhiuddin, G., Bordbar, H., Smarandache, F. and Jun, Y. B., (2018). Further results on (∈, ∈)- neutrosophic subalgebras and ideals in BCK/BCI-algebras, Neutrosophic Sets and Systems, 20, pp. 36-43.
  • Smarandache, F., (1999). A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Reserch Press, Rehoboth, NM.
  • Smarandache, F., (2005). Neutrosophic set-a generalization of the intuitionistic fuzzy set, Int. J. Pure Appl. Math., 24(3), pp.287–297.
Year 2020, Volume: 10 Issue: 1, 232 - 240, 01.01.2020

Abstract

References

  • Borumand, S. A. and Jun, Y.B., (2017). Neutrosophic subalgebras of BCK/BCI-algebras based on neutrosophic points, Ann. Fuzzy Math. Inform., 14, pp. 87–97.
  • Huang, Y. S., (2006). BCI-algebra, Science Press, Beijing.
  • Jun, Y.B., (2017). Neutrosophic subalgebras of several types in BCK/BCI-algebras, Ann. Fuzzy Math. Inform., 14 (1), pp. 75–86.
  • Kim, S.J., Song, S.Z. and Jun, Y.B., (2018). Generalizations of neutrosophic subalgebras in BCK/BCI-algebras based on neutrosophic points, Neutrosophic Sets and Systems, 20, pp. 26–35.
  • Meng, J. and Jun, Y. B., (1994). BCK-algebra, Kyungmoon Sa Co. Seoul.
  • Muhiuddin, G., Smarandache, F. and Jun, Y. B., (2019). Neutrosophic quadruple ideals in neutro- sophic quadruple BCI-algebras, Neutrosophic Sets and Systems, 25, pp. 161–173.
  • Muhiuddin, G., Al-Kenani, A. N., Roh, E. H. and Jun, Y. B., (2019). Implicative neutrosophic quadruple BCK-algebras and ideals, Symmetry, 11, 277.
  • Muhiuddin, G., Kim, S. J. and Jun, Y. B., (2019). Implicative N-ideals of BCK-algebras based on neutrosophic N-structures, Discrete Mathematics, Algorithms and Applications, 11(1), 1950011.
  • Muhiuddin, G., Bordbar, H., Smarandache, F. and Jun, Y. B., (2018). Further results on (∈, ∈)- neutrosophic subalgebras and ideals in BCK/BCI-algebras, Neutrosophic Sets and Systems, 20, pp. 36-43.
  • Smarandache, F., (1999). A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Reserch Press, Rehoboth, NM.
  • Smarandache, F., (2005). Neutrosophic set-a generalization of the intuitionistic fuzzy set, Int. J. Pure Appl. Math., 24(3), pp.287–297.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

G. Muhiuddin This is me

Y. B. Jun This is me

Publication Date January 1, 2020
Published in Issue Year 2020 Volume: 10 Issue: 1

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