Research Article

Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras)

Volume: 11 Number: 1 June 30, 2019
Turkish Journal of Mathematics and Computer Science Cover
Turkish Journal of Mathematics and Computer Science
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Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras)

Abstract

In this paper, the concepts of $(\sigma,\tau)$- bipolar fuzzy $(T,S)$- norm of the notions (strong, weak, $s$-weak) hyper  $KU$-ideals in hyper $KU$-algebras are introduced and some properties are discussed.

Keywords

References

  1. Jun, Y.B., Xin, X.L., Roh, E.H., Zahedi, M.M., Strong hyper BCK-ideals of hyper BCK-algebra, Math. Jap., 51(3)(2000), 493--498.
  2. Jun, Y.B., Zahedi, M.M., Xin, X.L., Borzooei, R.A., On hyper BCK-algebra, Italian J. Pure App. Math., Oxford Ser., 10(2000), 127--136.
  3. Jun Y.B., Xin, X.L., Fuzzy hyper BCK-ideals of hyper BCK-algebras, Scientiae Mathematicae Japonicae Online, 4(2001), 415--422.
  4. Jun, Y.B., Kang, M.S., Kim, H.S., Bipolar fuzzy hyper BCK-ideals in hyper BCK-algebras, Iranian Journal of Fuzzy Systems, 8(2)(2011), 105--120.
  5. Jun, Y.B., Shim, W.H., Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras, Internat. J. Math. Math. Sci., 29(2)(2002), 63--70.
  6. Jun, Y.B., Xin, X.L., Fuzzy hyper BCK-ideals of hyper BCK-algebras, Sci. Math. Jpn., 53(2)(2001), 353--360.
  7. Jun, Y.B., Zahedi, M.M., Xinand, X.L., Borzooei, R.A., On hyper BCK-algebras, Italian J. of Pure and Appl. Math., 8(2000), 127--136.
  8. Lee, K.M., Bipolar-valued fuzzy sets and their operations, Proc. Int. Conf. on Intelligent Technologies, Bangkok, Thailand, (2000), 307--312.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Naim Cagman
Türkiye

Publication Date

June 30, 2019

Submission Date

May 10, 2018

Acceptance Date

May 26, 2019

Published in Issue

Year 2019 Volume: 11 Number: 1

IZ

https://izlik.org/JA84DD38KR

Cite

RIS / Bibtex
APA
Mostafa, S. M., & Cagman, N. (2019). Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras). Turkish Journal of Mathematics and Computer Science, 11(1), 29-39. https://izlik.org/JA84DD38KR
AMA
1.Mostafa SM, Cagman N. Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras). TJMCS. 2019;11(1):29-39. https://izlik.org/JA84DD38KR
Chicago
Mostafa, Samy M., and Naim Cagman. 2019. “Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras)”. Turkish Journal of Mathematics and Computer Science 11 (1): 29-39. https://izlik.org/JA84DD38KR.
EndNote
Mostafa SM, Cagman N (June 1, 2019) Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras). Turkish Journal of Mathematics and Computer Science 11 1 29–39.
IEEE
[1]S. M. Mostafa and N. Cagman, “Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras)”, TJMCS, vol. 11, no. 1, pp. 29–39, June 2019, [Online]. Available: https://izlik.org/JA84DD38KR
ISNAD
Mostafa, Samy M. - Cagman, Naim. “Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras)”. Turkish Journal of Mathematics and Computer Science 11/1 (June 1, 2019): 29-39. https://izlik.org/JA84DD38KR.
JAMA
1.Mostafa SM, Cagman N. Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras). TJMCS. 2019;11:29–39.
MLA
Mostafa, Samy M., and Naim Cagman. “Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras)”. Turkish Journal of Mathematics and Computer Science, vol. 11, no. 1, June 2019, pp. 29-39, https://izlik.org/JA84DD38KR.
Vancouver
1.Samy M. Mostafa, Naim Cagman. Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras). TJMCS [Internet]. 2019 Jun. 1;11(1):29-3. Available from: https://izlik.org/JA84DD38KR