Research Article
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Year 2018, Volume: 1 Issue: 2, 230 - 244, 31.07.2018

Samy Mostafa

Abstract

References

  • K, Atanassov and G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems31 (1989) 343{349
  • R. A. Borzooei and M. Bakhshi, Some results on hyper BCK-algebras, Quasigroups and Related Systems 11 (2004), 9-24.
  • N. Cagman , S. M. Mostafa .Atanassov’s intuitionistic fuzzy bi-normed hyper KU- ideals(sub algebra) on hyper KU- algebras, submit.
  • Y. B. Jun, X. L. Xin, E. H. Roh, and M. M. Zahedi, Strong hyper BCK-ideals of hyper BCK-algebra, Math. Jap. 51(3) (2000), 493-498.
  • Y. B. Jun, M. M. Zahedi, X. L. Xin, and R. A. Borzooei, On hyper BCK-algebra, Italian J. Pure App. Math., Oxford Ser. 10 (2000), 127-136.
  • Y. B. Jun, C. S.Kim, andK.O. Yang, “Cubic sets,” Annals of Fuzzy Mathematics and Informatics, vol. 4, no. 1, pp. 83–98, 2012
  • F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandinaves, Stockholm (1934), 45-49.
  • S.M. Mostafa, M.A. Abd-Elnaby and M.M.M. Yousef, Fuzzy ideals of KU-Algebras, Int. Math. Forum, 63(6) (2011) 3139-3149.
  • S. M. Mostafa , F.Kareem , B. Davvaz , Hyper structure theory applied to KU-algebras. Journal of Hyper structures .6 (2) (2017), 82-95.
  • C.Prabpayak and U.Leerawat, On ideals and congruence in KU-algebras, scientia Magna Journal, 5(1) (2009), 54-57.
  • C.Prabpayak and U.Leerawat, On isomorphisms of KU-algebras, scientiamagna journal, 5(3) (2009) 25-31.
  • N.Yaqoob, S.M.Mostafa and M.A.Ansari, On cubic KU-ideals of KU-algebras, ISRN Algebra, (2013) Article ID935905, 10 pages.
  • M. M. Zahedi, R. A. Borzoei, Y. B. Jun and A. Hasankhani, Some results on hyper K-algebras,Scientiae Mathematicae

INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS

Year 2018, Volume: 1 Issue: 2, 230 - 244, 31.07.2018

Samy Mostafa

Abstract

It is known
that, the concept of hyper KU-algebras is a generalization of KU-algebras. In
this  paper , the intuitionistic fuzzy
dot theory of the (subalgebra- s-weak – strong) hyper KU-ideals in hyper
KU-algebras  are applied and the
relations among them are obtained.

Keywords

hyper KU-algebra intuitionistic fuzzy dot hyper KU-ideals

References

  • K, Atanassov and G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems31 (1989) 343{349
  • R. A. Borzooei and M. Bakhshi, Some results on hyper BCK-algebras, Quasigroups and Related Systems 11 (2004), 9-24.
  • N. Cagman , S. M. Mostafa .Atanassov’s intuitionistic fuzzy bi-normed hyper KU- ideals(sub algebra) on hyper KU- algebras, submit.
  • Y. B. Jun, X. L. Xin, E. H. Roh, and M. M. Zahedi, Strong hyper BCK-ideals of hyper BCK-algebra, Math. Jap. 51(3) (2000), 493-498.
  • Y. B. Jun, M. M. Zahedi, X. L. Xin, and R. A. Borzooei, On hyper BCK-algebra, Italian J. Pure App. Math., Oxford Ser. 10 (2000), 127-136.
  • Y. B. Jun, C. S.Kim, andK.O. Yang, “Cubic sets,” Annals of Fuzzy Mathematics and Informatics, vol. 4, no. 1, pp. 83–98, 2012
  • F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandinaves, Stockholm (1934), 45-49.
  • S.M. Mostafa, M.A. Abd-Elnaby and M.M.M. Yousef, Fuzzy ideals of KU-Algebras, Int. Math. Forum, 63(6) (2011) 3139-3149.
  • S. M. Mostafa , F.Kareem , B. Davvaz , Hyper structure theory applied to KU-algebras. Journal of Hyper structures .6 (2) (2017), 82-95.
  • C.Prabpayak and U.Leerawat, On ideals and congruence in KU-algebras, scientia Magna Journal, 5(1) (2009), 54-57.
  • C.Prabpayak and U.Leerawat, On isomorphisms of KU-algebras, scientiamagna journal, 5(3) (2009) 25-31.
  • N.Yaqoob, S.M.Mostafa and M.A.Ansari, On cubic KU-ideals of KU-algebras, ISRN Algebra, (2013) Article ID935905, 10 pages.
  • M. M. Zahedi, R. A. Borzoei, Y. B. Jun and A. Hasankhani, Some results on hyper K-algebras,Scientiae Mathematicae
There are 13 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Samy Mostafa

Publication Date July 31, 2018
Submission Date April 17, 2018
Acceptance Date August 5, 2018
Published in Issue Year 2018 Volume: 1 Issue: 2

Cite

APA Mostafa, S. (2018). INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS. Journal of Universal Mathematics, 1(2), 230-244.
AMA Mostafa S. INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS. JUM. July 2018;1(2):230-244.
Chicago Mostafa, Samy. “INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS”. Journal of Universal Mathematics 1, no. 2 (July 2018): 230-44.
EndNote Mostafa S (July 1, 2018) INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS. Journal of Universal Mathematics 1 2 230–244.
IEEE S. Mostafa, “INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS”, JUM, vol. 1, no. 2, pp. 230–244, 2018.
ISNAD Mostafa, Samy. “INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS”. Journal of Universal Mathematics 1/2 (July 2018), 230-244.
JAMA Mostafa S. INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS. JUM. 2018;1:230–244.
MLA Mostafa, Samy. “INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS”. Journal of Universal Mathematics, vol. 1, no. 2, 2018, pp. 230-44.
Vancouver Mostafa S. INTUITIONISTIC FUZZY DOT HYPER KU- (SUB ALGEBRA) IDEALS ON HYPER KU- ALGEBRAS. JUM. 2018;1(2):230-44.
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