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Fuzzy Sub Implicative Ideals of KU-Algebras

Yıl 2018, Sayı: 23, 1 - 12, 01.06.2018

Öz

We consider the fuzzification of sub-implicative (sub-commutative) ideals in KU-algebras, and
investigate some related properties. We give conditions for a fuzzy ideal to be a fuzzy sub-implicative (subcommutative)
ideal. We show that any fuzzy sub-implicative (sub-commutative) ideal is a fuzzy ideal, but
the converse is not true. Using a level set of a fuzzy set in a KU-algebra; we give a characterization of a fuzzy
sub-implicative (sub-commutative) ideal. 

Kaynakça

  • [1] Hong S.M. and Jun Y.B. , Fuzzy and level subalgebras of BCK (BCI) algebras Pusan Kyongnam Math. J. (Presently , East Asain Math . J.) , 7(2) (1991) , 185-190 .
  • [2] Iseki. K. On BCI-algebras. Math. Sem. Notes 8 (1980) 125 – 130
  • [3] Jun Y. B., Hong A.M.T, Kim A. T. and Song S. Z., Fuzzy ideals and fuzzy subalgebras of BCK-algebras , J.fuzzy Math ,7(2) (1999) , 411-418 .
  • [4] Liu Y. L, Meng J. and Xu Y., BCI-implicative ideals of BCI-algebras, Information Sciences (2007) 1 - 10.
  • [5] Liu Y. L., S. Y. Liu S. Y., Meng J. FSI-ideals and FSC-ideals of BCl-algebras Bull. Korean Math. Soc. 41 (2004), No.1, pp. 167-179
  • [6] Senapati, T. and Shum K. P., Atanassov’s intuitionistic fuzzy bi-normed KUsubalgebrs of a KU-algebra, Missouri J. Math. Sci., Volume 29, Issue 1 (2017), 92-112.
  • [7] Senapati T.,T-fuzzy KU-ideals of KU-algebras, June 2018, Volume 29, Issue 3–4, pp 591–600 Afrika Matematika.
  • [8] Mostafa S. M., Abd-Elnaby M. and Yousef M. M., Fuzzy ideals of KU-Algebras, International Math.Forum, Vol.6, (2011), no.63, 3139-3149.
  • [9] Mostafa S. M., Kareem F. F., N-Fold Commutative KU-Algebras International Journal of Algebra, Vol. 8, 2014, no. 6, 267 – 275
  • [10] Mostafa S. M., Omar R. A. K, Abd El- Baseer, O. W., Sub implicative ideals of KUAlgebras, International Journal of Modern Science and Technology Vol. 2, No. 5, 2017. Page 223-227.
  • [11] Radwan A. E., Mostafa S. M., Ibrahem F. A. & Kareem F. F., Topology spectrum of a KU-Algebra. Journal of New Theory 5 (2015) Year: 2015, Number: 8, Pages: 78-91
  • [12] Prabpayak C. and Leerawat U., On ideals and congruence in KU-algebras, Scientia Magna Journal, Vol. 5(2009), No.1, 54-57.
  • [13] Prabpayak C. and Leerawat U., On isomorphisms of KU-algebras, Scientia Magna Journal, 5(2009), no. 3, 25-31
  • [14] Xi O. G., Fuzzy BCK-algebras, Math. Japan, 36 (1991) 935-942.
  • [15] Zadeh L. A., Fuzzy sets, Inform. and Control, 8 (1965) 338-353.
Yıl 2018, Sayı: 23, 1 - 12, 01.06.2018

Öz

Kaynakça

  • [1] Hong S.M. and Jun Y.B. , Fuzzy and level subalgebras of BCK (BCI) algebras Pusan Kyongnam Math. J. (Presently , East Asain Math . J.) , 7(2) (1991) , 185-190 .
  • [2] Iseki. K. On BCI-algebras. Math. Sem. Notes 8 (1980) 125 – 130
  • [3] Jun Y. B., Hong A.M.T, Kim A. T. and Song S. Z., Fuzzy ideals and fuzzy subalgebras of BCK-algebras , J.fuzzy Math ,7(2) (1999) , 411-418 .
  • [4] Liu Y. L, Meng J. and Xu Y., BCI-implicative ideals of BCI-algebras, Information Sciences (2007) 1 - 10.
  • [5] Liu Y. L., S. Y. Liu S. Y., Meng J. FSI-ideals and FSC-ideals of BCl-algebras Bull. Korean Math. Soc. 41 (2004), No.1, pp. 167-179
  • [6] Senapati, T. and Shum K. P., Atanassov’s intuitionistic fuzzy bi-normed KUsubalgebrs of a KU-algebra, Missouri J. Math. Sci., Volume 29, Issue 1 (2017), 92-112.
  • [7] Senapati T.,T-fuzzy KU-ideals of KU-algebras, June 2018, Volume 29, Issue 3–4, pp 591–600 Afrika Matematika.
  • [8] Mostafa S. M., Abd-Elnaby M. and Yousef M. M., Fuzzy ideals of KU-Algebras, International Math.Forum, Vol.6, (2011), no.63, 3139-3149.
  • [9] Mostafa S. M., Kareem F. F., N-Fold Commutative KU-Algebras International Journal of Algebra, Vol. 8, 2014, no. 6, 267 – 275
  • [10] Mostafa S. M., Omar R. A. K, Abd El- Baseer, O. W., Sub implicative ideals of KUAlgebras, International Journal of Modern Science and Technology Vol. 2, No. 5, 2017. Page 223-227.
  • [11] Radwan A. E., Mostafa S. M., Ibrahem F. A. & Kareem F. F., Topology spectrum of a KU-Algebra. Journal of New Theory 5 (2015) Year: 2015, Number: 8, Pages: 78-91
  • [12] Prabpayak C. and Leerawat U., On ideals and congruence in KU-algebras, Scientia Magna Journal, Vol. 5(2009), No.1, 54-57.
  • [13] Prabpayak C. and Leerawat U., On isomorphisms of KU-algebras, Scientia Magna Journal, 5(2009), no. 3, 25-31
  • [14] Xi O. G., Fuzzy BCK-algebras, Math. Japan, 36 (1991) 935-942.
  • [15] Zadeh L. A., Fuzzy sets, Inform. and Control, 8 (1965) 338-353.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Samy Mohammed Mostafa

Ola Wageeh Baseer Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2018
Gönderilme Tarihi 27 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 23

Kaynak Göster

APA Mostafa, S. M., & Baseer, O. W. (2018). Fuzzy Sub Implicative Ideals of KU-Algebras. Journal of New Theory(23), 1-12.
AMA Mostafa SM, Baseer OW. Fuzzy Sub Implicative Ideals of KU-Algebras. JNT. Haziran 2018;(23):1-12.
Chicago Mostafa, Samy Mohammed, ve Ola Wageeh Baseer. “Fuzzy Sub Implicative Ideals of KU-Algebras”. Journal of New Theory, sy. 23 (Haziran 2018): 1-12.
EndNote Mostafa SM, Baseer OW (01 Haziran 2018) Fuzzy Sub Implicative Ideals of KU-Algebras. Journal of New Theory 23 1–12.
IEEE S. M. Mostafa ve O. W. Baseer, “Fuzzy Sub Implicative Ideals of KU-Algebras”, JNT, sy. 23, ss. 1–12, Haziran 2018.
ISNAD Mostafa, Samy Mohammed - Baseer, Ola Wageeh. “Fuzzy Sub Implicative Ideals of KU-Algebras”. Journal of New Theory 23 (Haziran 2018), 1-12.
JAMA Mostafa SM, Baseer OW. Fuzzy Sub Implicative Ideals of KU-Algebras. JNT. 2018;:1–12.
MLA Mostafa, Samy Mohammed ve Ola Wageeh Baseer. “Fuzzy Sub Implicative Ideals of KU-Algebras”. Journal of New Theory, sy. 23, 2018, ss. 1-12.
Vancouver Mostafa SM, Baseer OW. Fuzzy Sub Implicative Ideals of KU-Algebras. JNT. 2018(23):1-12.


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