Araştırma Makalesi
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Bipolar Fuzzy k-Ideals in KU-Semigroups

Yıl 2019, Sayı: 29, 71 - 78, 30.12.2019

Öz

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.

Kaynakça

  • 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.
Yıl 2019, Sayı: 29, 71 - 78, 30.12.2019

Öz

Kaynakça

  • 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.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Fatema Kareem

Elaf Raad Hasan Bu kişi benim

Yayımlanma Tarihi 30 Aralık 2019
Gönderilme Tarihi 27 Haziran 2019
Yayımlandığı Sayı Yıl 2019 Sayı: 29

Kaynak Göster

APA Kareem, F., & Hasan, E. R. (2019). Bipolar Fuzzy k-Ideals in KU-Semigroups. Journal of New Theory(29), 71-78.
AMA Kareem F, Hasan ER. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT. Aralık 2019;(29):71-78.
Chicago Kareem, Fatema, ve Elaf Raad Hasan. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory, sy. 29 (Aralık 2019): 71-78.
EndNote Kareem F, Hasan ER (01 Aralık 2019) Bipolar Fuzzy k-Ideals in KU-Semigroups. Journal of New Theory 29 71–78.
IEEE F. Kareem ve E. R. Hasan, “Bipolar Fuzzy k-Ideals in KU-Semigroups”, JNT, sy. 29, ss. 71–78, Aralık 2019.
ISNAD Kareem, Fatema - Hasan, Elaf Raad. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory 29 (Aralık 2019), 71-78.
JAMA Kareem F, Hasan ER. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT. 2019;:71–78.
MLA Kareem, Fatema ve Elaf Raad Hasan. “Bipolar Fuzzy K-Ideals in KU-Semigroups”. Journal of New Theory, sy. 29, 2019, ss. 71-78.
Vancouver Kareem F, Hasan ER. Bipolar Fuzzy k-Ideals in KU-Semigroups. JNT. 2019(29):71-8.


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