Cubic structures applied to ideals of BCI-algebras

被引：57
|
作者：
Jun, Young Bae [2 ,3 ]
Lee, Kyoung Ja [1 ]
Kang, Min Su [4 ]
机构：
[1] Hannam Univ, Dept Math Educ, Taejon 306791, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[4] Hanyang Univ, Dept Math, Seoul 133791, South Korea
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 09期
关键词：
(Cubic) subalgebra; (Cubic) ideal; (Cubic) q-ideal; (Cubic) a-ideal; (Cubic) p-ideal;
D O I：
10.1016/j.camwa.2011.08.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notions of cubic a-ideals and cubic p-ideals are introduced, and several related properties are investigated. Characterizations of a cubic a-ideal are established. Relations between cubic p-ideals, cubic a-ideals and cubic q-ideals are discussed. The cubic extension property of a cubic a-ideal is discussed. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3334 / 3342
页数：9
相关论文
共 50 条
  • [21] Fuzzy Strongly Implicative Ideals in BCI-Algebras(Ⅱ)
    F. L. Zhang(Department of Mathematics
    [J]. 模糊系统与数学, 1999, (01) : 3 - 5
  • [22] Multipolar fuzzy a-ideals in BCI-algebras
    Rajab Ali Borzooei
    Gholam Reza Rezaei
    G. Muhiuddin
    Young Bae Jun
    [J]. International Journal of Machine Learning and Cybernetics, 2021, 12 : 2339 - 2348
  • [23] New types of fuzzy ideals of BCI-algebras
    Ma, Xueling
    Zhan, Jianming
    Jun, Young Bae
    [J]. NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S19 - S27
  • [24] Fuzzy H-ideals in BCI-algebras
    Khalid, HM
    Ahmad, B
    [J]. FUZZY SETS AND SYSTEMS, 1999, 101 (01) : 153 - 158
  • [25] P-closure ideals in BCI-algebras
    Hosain Moussaei
    Habib Harizavi
    Rajab Ali Borzooei
    [J]. Soft Computing, 2018, 22 : 7901 - 7908
  • [26] TRANSLATIONS OF FUZZY IDEALS IN BCK/BCI-ALGEBRAS
    Jun, Young Bae
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (03): : 349 - 358
  • [27] Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures
    Song, Seok-Zun
    Ozturk, Mehmet Ali
    Jun, Young-Bae
    [J]. MATHEMATICS, 2021, 9 (17)
  • [28] ON (∈, ∈ V q)-FUZZY IDEALS OF BCI-ALGEBRAS
    Zhan, J.
    Jun, Y. B.
    Davvaz, B.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2009, 6 (01): : 81 - 94
  • [29] Some Characterizations of Nil Ideals in BCI-algebras
    黄文平
    徐少贤
    [J]. Chinese Quarterly Journal of Mathematics, 1997, (01) : 65 - 69
  • [30] BIPOLAR FUZZY a-IDEALS OF BCI-ALGEBRAS
    Lee, Kyoung Ja
    Jun, Young Bae
    [J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 26 (04): : 531 - 542
12345