DOKDO STRUCTURE AND ITS APPLICATION IN BCK/BCI-ALGEBRAS

被引：0
|
作者：
Jun, Y. B. [1 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Jinju, Andorra
来源：
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 15卷 / 01期
关键词：
(null; full) Dokdo structure; (positive; negative) internel Dokdo structure; negative) externel Dokdo structure; Dokdo subalgebra; Dokdo ideal; FUZZY IDEALS;
D O I：
10.30546/2219-1259.15.1.2024.1790
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the concepts of soft set, bipolar fuzzy set, and interval -valued fuzzy set, hybrid structure, called "Dokdo structure", is introduced, and it applies to BCK/BCI-algebras. The concepts of (null, full) Dokdo structure, (positive, negative) internel Dokdo structure, (positive, negative) externel Dokdo structure are introduced, and appropriate examples are given. The notions of (closed) Dokdo subalgebra and Dokdo ideal are introduced, and their properties are investigated. Conditions for Dokdo subalgebra to be closed are considered, and conditions for Dokdo structure to be Dokdo subalgebra are provided. Relationship between Dokdo subalgebra and Dokdo ideal is discussed, and conditions for Dokdo structure to be Dokdo ideal in BCK-Dokdo universe are provided. The conditions under which Dokdo ideal can be Dokdo subalgebra in BCI-Dokdo universe are explored.
引用
收藏
页码：79 / 94
页数：16
相关论文
共 50 条
  • [31] INTERNAL AND EXTERNAL CUBIC SUBALGEBRAS OF BCK/BCI-ALGEBRAS
    Bordbar, Hashem
    Zahedi, Mohammad Mehdi
    Jun, Young Bae
    JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2021, 27 (01) : 48 - 63
  • [32] Polarity of generalized neutrosophic subalgebras in BCK/BCI-algebras
    Borzooei R.A.
    Smarandache F.
    Jun Y.B.
    Neutrosophic Sets and Systems, 2020, 32 : 123 - 145
  • [33] Polarity of generalized neutrosophic subalgebras in BCK/BCI-algebras
    Borzooei, Rajab Ali
    Smarandache, Florentin
    Jun, Young Bae
    NEUTROSOPHIC SETS AND SYSTEMS, 2020, 32 : 123 - 145
  • [34] Quotient BCK/BCI-algebras induced by soft sets
    Jun Y.B.
    Song S.Z.
    Afrika Matematika, 2016, 27 (7-8) : 1339 - 1346
  • [35] New types of fuzzy ideals in BCK/BCI-algebras
    Jun, Young Bae
    Lee, Kyoung Ja
    Park, Chul Hwan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (03) : 771 - 785
  • [36] Intuitionistic Fuzzy Soft Ideals in BCK/BCI-algebras
    Balamurugan, M.
    Balasubramanian, G.
    Ragavan, C.
    MATERIALS TODAY-PROCEEDINGS, 2019, 16 : 496 - 503
  • [37] INTERSECTIONAL SOFT SETS AND APPLICATIONS TO BCK/BCI-ALGEBRAS
    Jun, Young Bae
    Kang, Min Su
    Lee, Kyoung Ja
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (01): : 11 - 24
  • [38] A Structure of BCI-Algebras
    Chajda, Ivan
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2014, 53 (10) : 3391 - 3396
  • [39] Further results on fuzzy soft BCK/BCI-algebras
    Al-Kadi, Deena S.
    Muhiuddin, G.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 13 (04): : 939 - 947
  • [40] Generalizations of (ε, ε ∨ q)-fuzzy subalgebras in BCK/BCI-algebras
    Jun, Young Bae
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (07) : 1383 - 1390
12345