Skip to main content

A Special Sub-algebras of N(2, 2, 0)-Algebras

  • Conference paper
  • First Online:
Quantitative Logic and Soft Computing 2016

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 510))

  • 556 Accesses

Abstract

In this paper, we introduce a subalgebra of N(2, 2, 0)-algebras, investigate the relations between N(2, 2, 0)-algebras and other algebras, such as G-algebra, B-algebra, Q-algebra and CI-algebra. In particular, we find out a class of subalgebras of N(2, 2, 0)-algebras, show some properties of those subalgebras and prove that the subalgebras is G-algebra, B-algebra, Q-algebra and CI-algebra. Finally, we give an important result on N(2, 2, 0)-algebras.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bandru, R.K., Rafi, N.: On \(G\)-algebras. Sci. Manga. 8(3), 1–7 (2012)

    Google Scholar 

  2. Deng, F.A., Chen, L., Tuo, S.H., Ren, S.Z.: Characterizations of N(2; 2; 0) algebras. Algebra, 2016, Article ID 2752681, 1–7 (2016). http://dx.doi.org/10.1155/2016/2752681

  3. Deng, F.A., Xu, Y.: On \(N(2,2,0)\)-algebra. J. Southwest Jiaotong Univ. l31, 457–463 (1996)

    MATH  Google Scholar 

  4. Hu, Q.P., Li, X.: On \(BCH\)-algebras. Math. Semin. Notes 11, 313–320 (1983)

    MathSciNet  MATH  Google Scholar 

  5. Imai, Y., Iseki, K.: On axiom systems of propositional calculi. XIV Proc. Jpn. Acad. 42, 19–22 (1966)

    Article  MathSciNet  MATH  Google Scholar 

  6. Iseki, I.: On \(BCI\)-algebras. Math. Semin. Notes 8, 125–130 (1980)

    MathSciNet  MATH  Google Scholar 

  7. Kim, H.S., Kim, Y.H.: On \(BE\)-algebras. Scientiae Mathematicae Japonica Online. pp. 1299–1302(2006)

    Google Scholar 

  8. Meng, B.L.: \(CI\)-algebra. Scientiae Mathematicae Japonica Online. pp. 695–701 (2009)

    Google Scholar 

  9. Neggers, J., Ahn, S.S.: On \(Q\)-algebras. Int. J. Math. Math. Sci. 27, 749–757 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  10. Neggers, J., Kim, H.S.: On \(B\)-algebras. Mathematichki Vesnik 54, 21–29 (2002)

    MathSciNet  MATH  Google Scholar 

  11. Saeid, A.B.: \(CI\)-algebra is equivalent to dual \(Q\)-algebra. J. Egypt. Math. Soc. 21, 1–2 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  12. Senapati, T.: Translations of Intuitionistic Fuzzy \(B\)-algebras. Fuzzy Inf. Eng. 7, 389–404 (2015)

    Article  MathSciNet  Google Scholar 

  13. Walendziak, A.: Some axiomtizations of \(B\)-algebras. Math. Aslovaca. 56(3), 301–306 (2006)

    MathSciNet  MATH  Google Scholar 

  14. Wu, W.M.: Fuzzy implication algebra. Fuzzy Syst. Math. 1, 56–64 (1990)

    Google Scholar 

Download references

Acknowledgments

The work Partially supported by Qinba Mountains of Bio-Resource Collaborative Innovation Center of Southern Shaanxi province of China (QBXT-Z(Y)-15-4).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fang-An Deng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this paper

Cite this paper

Deng, FA., Chen, L., Tuo, SH., Ren, SZ. (2017). A Special Sub-algebras of N(2, 2, 0)-Algebras. In: Fan, TH., Chen, SL., Wang, SM., Li, YM. (eds) Quantitative Logic and Soft Computing 2016. Advances in Intelligent Systems and Computing, vol 510. Springer, Cham. https://doi.org/10.1007/978-3-319-46206-6_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-46206-6_41

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46205-9

  • Online ISBN: 978-3-319-46206-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics