Generalizations of N-Subalgebras in BCK/BCI-Algebras Based on Point N-Structures

被引:0
|
作者
Jun, Young Bae [2 ,3 ]
Lee, Kyoung Ja [4 ]
Kang, Min Su [1 ]
机构
[1] Hanyang Univ, Dept Math, Seoul 133791, South Korea
[2] Gyengsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea
[3] Gyengsang Natl Univ, RINS, Jinju 660701, South Korea
[4] Hannam Univ, Dept Math Educ, Taejon 306791, South Korea
关键词
D O I
10.1155/2012/938910
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this article is to obtain more general forms than the papers of (Jun et al. (2010); Jun et al. (in press)). The notions of N-subalgebras of types (is an element of,qk), (is an element of,is an element of Vqk), and (q,is an element of Vqk) are introduced, and the concepts of qk-support and is an element of Vqk-support are also introduced. Several related properties are investigated. Characterizations of N-subalgebra of type (is an element of, is an element of Vqk) are discussed, and conditions for an N-subalgebra of type (is an element of, is an element of Vqk) to be an N-subalgebra of type (is an element of, is an element of) are considered.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] N-SUBALGEBRAS OF TYPE (is an element of,is an element of boolean OR q) BASED ON POINT N-STRUCTURES IN BCK/BCI-ALGEBRAS
    Lee, Kyoung Ja
    Jun, Young Bae
    Zhang, Xiaohong
    [J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (03): : 431 - 439
  • [2] Soft subalgebras and ideals of BCK/BCI-algebras based on N-structures
    Bordbar, Hashem
    Borzooei, Rajab Aali
    Saeid, Arsham Borumand
    Jun, Young Bae
    [J]. SOFT COMPUTING, 2021, 25 (20) : 12789 - 12795
  • [3] N-Subalgebras of BCK/BCI-Algebras which are Induced from Hyperfuzzy Structures
    Bordbar, Hashem
    Bordbar, Mohammad Rahim
    Borzooei, Rajab Ali
    Jun, Young Bae
    [J]. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (02): : 179 - 195
  • [4] Coupled N-structures and its application in BCK/BCI-algebras
    Jun, Young Bae
    Ahn, Sun Shin
    Williams, D. R. Prince
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2013, 37 (A2): : 133 - 140
  • [5] Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and N-Structures
    Jun, Young Bae
    Lee, Kyoung Ja
    Kang, Min Su
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [6] Generalizations of (ε, ε ∨ q)-fuzzy subalgebras in BCK/BCI-algebras
    Jun, Young Bae
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (07) : 1383 - 1390
  • [7] Generalizations of Neutrosophic Subalgebras in BCK/BCI-Algebras Based on Neutrosophic Points
    Kim, Seon Jeong
    Song, Seok-Zun
    Jun, Young Bae
    [J]. NEUTROSOPHIC SETS AND SYSTEMS, 2018, 20 : 26 - 35
  • [8] N-Structures Applied to Commutative Ideals of BCI-Algebras
    Muhiuddin, Ghulam
    Elnair, Mohamed E.
    Al-Kadi, Deena
    [J]. SYMMETRY-BASEL, 2022, 14 (10):
  • [9] p-ideals of BCI-algebras based on neutrosophic N-structures
    Muhiuddin, G.
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 40 (01) : 1097 - 1105
  • [10] A Generalization of Semidetached Subalgebras in BCK/BCI-algebras
    Bordbar, Hashem
    Bordbar, Mohammad Rahim
    Jun, Young Bae
    [J]. NEW MATHEMATICS AND NATURAL COMPUTATION, 2019, 15 (03) : 489 - 501