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Bipolar Fuzzy k-Ideals in KU-Semigroups

Year 2019, Issue: 29, 71 - 78, 30.12.2019

Fatema Kareem , Elaf Raad Hasan

https://izlik.org/JA75FT69ZZ

Abstract

We have studied some types of ideals in a KU-semigroup by using the concept of a bipolar fuzzy set. Bipolar fuzzy S-ideals and bipolar fuzzy k-ideals are introduced, and some properties are investigated. Also, some relations between a bipolar fuzzy k-ideal and k-ideal are discussed. Moreover, a bipolar fuzzy k-ideal under homomorphism and the product of two bipolar fuzzy k-ideals are studied.

Keywords

KU-algebra KU-semigroup fuzzy S-ideal bipolar fuzzy S-ideal bipolar fuzzy k-ideal

References

  • L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
  • S. M. Mostafa, F. F. Kareem, Fuzzy N-fold KU-ideals of KU-algebras, Annals of Fuzzy Mathematics and Informatics 8(6) (2014) 987-1000.
  • S. M. Mostafa, M. A. Abd-Elnaby and M. M. M. Yousef, Fuzzy Ideals of KU-Algebras, International Mathematical Forum 6(63) (2011) 3139-3149.
  • K. M. Lee, Bipolar-Valued Fuzzy Sets and Their Operations, Proceeding of International Conference on Intelligent Technologies, Bangkok, Thailand, (2000) 307-312.
  • K. M. Lee, Comparison of Interval-Valued Fuzzy Sets, Intuitionistic Fuzzy Sets, and Bipolar-Valued Fuzzy sets, Journal of Fuzzy Logic and Intelligent Systems 14 (2004) 125-129.
  • S. M. Mostafa, F. F. Kareem, Bipolar Fuzzy N-fold KU-Ideals of KU-Algebras, Mathematica Eterna 4 (2014) 633-650.
  • G. Muhiuddin, Bipolar Fuzzy KU-Subalgebras\Ideals of KU-Algebras, Annals of Fuzzy Mathematics and Informatics 8(3) (2014) 409-418.
  • A. B. Saeid, Bipolar-Valued Fuzzy BCK\BCI-Algebras, World Applied Sciences Journal 7(11) (2009) 1404-1411.
  • C. Prabpayak, U. Leerawat, On Ideals and Congruence in KU-Algebras, Scientia Magna Journal 5(1) (2009) 54-57.
  • C. Prabpayak, U. Leerawat, On Isomorphisms of KU-Algebras, Scientia Magna Journal 5(3) (2009) 25-31.
  • F. F. Kareem, E. R. Hasan, On KU-Semigroups, International Journal of Science and Nature 9(1) (2018) 79-84.
  • E. R. Hasan, F. F. Kareem, Fuzzy KU-Semi-Groups and Investigate Some Basic Properties, Journal of Engineering and Applied Science 13(18) (2018) 7739-7744.

Year 2019, Issue: 29, 71 - 78, 30.12.2019

Fatema Kareem , Elaf Raad Hasan

https://izlik.org/JA75FT69ZZ

Abstract

References

  • L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
  • S. M. Mostafa, F. F. Kareem, Fuzzy N-fold KU-ideals of KU-algebras, Annals of Fuzzy Mathematics and Informatics 8(6) (2014) 987-1000.
  • S. M. Mostafa, M. A. Abd-Elnaby and M. M. M. Yousef, Fuzzy Ideals of KU-Algebras, International Mathematical Forum 6(63) (2011) 3139-3149.
  • K. M. Lee, Bipolar-Valued Fuzzy Sets and Their Operations, Proceeding of International Conference on Intelligent Technologies, Bangkok, Thailand, (2000) 307-312.
  • K. M. Lee, Comparison of Interval-Valued Fuzzy Sets, Intuitionistic Fuzzy Sets, and Bipolar-Valued Fuzzy sets, Journal of Fuzzy Logic and Intelligent Systems 14 (2004) 125-129.
  • S. M. Mostafa, F. F. Kareem, Bipolar Fuzzy N-fold KU-Ideals of KU-Algebras, Mathematica Eterna 4 (2014) 633-650.
  • G. Muhiuddin, Bipolar Fuzzy KU-Subalgebras\Ideals of KU-Algebras, Annals of Fuzzy Mathematics and Informatics 8(3) (2014) 409-418.
  • A. B. Saeid, Bipolar-Valued Fuzzy BCK\BCI-Algebras, World Applied Sciences Journal 7(11) (2009) 1404-1411.
  • C. Prabpayak, U. Leerawat, On Ideals and Congruence in KU-Algebras, Scientia Magna Journal 5(1) (2009) 54-57.
  • C. Prabpayak, U. Leerawat, On Isomorphisms of KU-Algebras, Scientia Magna Journal 5(3) (2009) 25-31.
  • F. F. Kareem, E. R. Hasan, On KU-Semigroups, International Journal of Science and Nature 9(1) (2018) 79-84.
  • E. R. Hasan, F. F. Kareem, Fuzzy KU-Semi-Groups and Investigate Some Basic Properties, Journal of Engineering and Applied Science 13(18) (2018) 7739-7744.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Fatema Kareem

Elaf Raad Hasan This is me

Submission Date June 27, 2019
Publication Date December 30, 2019
IZ https://izlik.org/JA75FT69ZZ
Published in Issue Year 2019 Issue: 29

Cite

APA Kareem, F., & Hasan, E. R. (2019). Bipolar Fuzzy k-Ideals in KU-Semigroups. Journal of New Theory, 29, 71-78. https://izlik.org/JA75FT69ZZ
AMA 1.Kareem F, Hasan ER. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT. 2019;(29):71-78. https://izlik.org/JA75FT69ZZ
Chicago Kareem, Fatema, and Elaf Raad Hasan. 2019. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory, nos. 29: 71-78. https://izlik.org/JA75FT69ZZ.
EndNote Kareem F, Hasan ER (December 1, 2019) Bipolar Fuzzy k-Ideals in KU-Semigroups. Journal of New Theory 29 71–78.
IEEE [1]F. Kareem and E. R. Hasan, “Bipolar Fuzzy k-Ideals in KU-Semigroups”, JNT, no. 29, pp. 71–78, Dec. 2019, [Online]. Available: https://izlik.org/JA75FT69ZZ
ISNAD Kareem, Fatema - Hasan, Elaf Raad. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory. 29 (December 1, 2019): 71-78. https://izlik.org/JA75FT69ZZ.
JAMA 1.Kareem F, Hasan ER. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT. 2019;:71–78.
MLA Kareem, Fatema, and Elaf Raad Hasan. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory, no. 29, Dec. 2019, pp. 71-78, https://izlik.org/JA75FT69ZZ.
Vancouver 1.Fatema Kareem, Elaf Raad Hasan. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT [Internet]. 2019 Dec. 1;(29):71-8. Available from: https://izlik.org/JA75FT69ZZ


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