Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

被引:1
|
作者
Borzooei, Rajab Ali [1 ]
Jun, Young Bae [1 ,2 ]
Takallo, M. Mohseni [1 ]
Ahn, Sun Shin [3 ]
机构
[1] Shahid Beheshti Univ, Dept Math, Tehran, Iran
[2] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
[3] Dongguk Univ, Dept Math Educ, Seoul 04620, South Korea
关键词
Neutrosophic quadruple BCK/BCI-number; (positive implicative) neutrosophic quadruple BCK-algebra; (positive implicative) neutrosophic quadruple ideal; N-IDEALS;
D O I
10.1142/S1793005721500216
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a set X, conditions for the neutrosophic quadruple X-set to be a (positive implicative) neutrosophic quadruple BCK-algebra are considered. The notion of (positive implicative) neutrosophic quadruple ideal is introduced, and the extended neutrosophic quadruple BCK/BCI-algebra is established. Several properties are investigated.
引用
收藏
页码:403 / 423
页数:21
相关论文
共 50 条
  • [31] New remarks regarding positive implicative BCK-algebras
    Vasile, Radu
    [J]. Italian Journal of Pure and Applied Mathematics, 2022, 48 : 996 - 1020
  • [32] New remarks regarding positive implicative BCK-algebras
    Vasile, Radu
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (48): : 996 - 1020
  • [33] Fuzzy strong implicative hyper BCK-ideals of hyper BCK-algebras
    Jun, YB
    Shim, WH
    [J]. INFORMATION SCIENCES, 2005, 170 (2-4) : 351 - 361
  • [34] New remarks regarding positive implicative BCK-algebras
    Mamaia, Radu Vasile
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (48): : 996 - 1020
  • [35] MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras
    Alsubie, Abdelaziz
    Al-Masarwah, Anas
    [J]. AIMS MATHEMATICS, 2021, 6 (06): : 6107 - 6121
  • [36] INT-SOFT IMPLICATIVE HYPER BCK-IDEALS IN HYPER BCK-ALGEBRAS
    Borzooei, Rajab Ali
    Xin, Xiao Long
    Roh, Eun Hwan
    Jun, Young
    [J]. MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2019, 31 (02) : 152 - 163
  • [37] NEUTROSOPHIC N-IDEALS ON SHEFFER STROKE BCK-ALGEBRAS
    Oner, Tahsin
    Katican, Tugce
    Rezaei, Akbar
    [J]. JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2023, 29 (01) : 45 - 63
  • [38] RETRACTED: Bipolar Fuzzy Implicative Ideals of BCK-Algebras (Retracted Article)
    Muhiuddin, G.
    Al-Kadi, D.
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [39] Neutrosophic Quadruple BCI-Positive Implicative Ideals
    Jun, Young Bae
    Song, Seok-Zun
    Kim, Seon Jeong
    [J]. MATHEMATICS, 2019, 7 (05)
  • [40] A FRACTION STRUCTURE ON IMPLICATIVE BCK-ALGEBRAS
    Heubo-Kwegna, Olivier A.
    Nganou, Jean B.
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2015, 36 (01): : 91 - 98