Applications of soft sets in ideal theory of BCK/BCI-algebras

被引：372
|
作者：
Jun, Young Bae [2 ]
Park, Chul Hwan [1 ]
机构：
[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ & RINS, Chinju 660701, South Korea
来源：
INFORMATION SCIENCES | 2008年 / 178卷 / 11期
关键词：
soft set; (idealistic) soft BCK/BCI-algebra; soft ideal;
D O I：
10.1016/j.ins.2008.01.017
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The notion of soft ideals and idealistic soft BCK/BCI-algebras is introduced, and several examples are given. Relations between soft BCK/BCI-algebras and idealistic soft BCK/BCI-algebras are provided. The intersection, union, "AND" operation, and "OR" operation of soft ideals and idealistic soft BCK/BCI-algebras are established. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：2466 / 2475
页数：10
相关论文
共 50 条
  • [1] INTERSECTIONAL SOFT SETS AND APPLICATIONS TO BCK/BCI-ALGEBRAS
    Jun, Young Bae
    Kang, Min Su
    Lee, Kyoung Ja
    [J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (01): : 11 - 24
  • [2] Ideal Theory of BCK/BCI-algebras Based on Double-framed Soft Sets
    Jun, Young Bae
    Muhiuddin, G.
    Al-roqi, Abdullah M.
    [J]. APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (05): : 1879 - 1887
  • [3] UNION-SOFT SETS WITH APPLICATIONS IN BCK/BCI-ALGEBRAS
    Jun, Young Bae
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (06) : 1937 - 1956
  • [4] 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
  • [5] Double-Framed Soft Sets with Applications in BCK/BCI-Algebras
    Jun, Young Bae
    Ahn, Sun Shin
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [6] Quotient BCK/BCI-algebras induced by soft sets
    Jun Y.B.
    Song S.Z.
    [J]. Afrika Matematika, 2016, 27 (7-8) : 1339 - 1346
  • [7] Soft BCK/BCI-algebras
    Jun, Young Bae
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) : 1408 - 1413
  • [8] On (α,β)-US Sets in BCK/BCI-Algebras
    Jana, Chiranjibe
    Pal, Madhumangal
    [J]. MATHEMATICS, 2019, 7 (03):
  • [9] Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets
    Muhiuddin, G.
    Feng, Feng
    Jun, Young Bae
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,
  • [10] Ideal theory of BCK/BCI-algebras based on hybrid structures
    Muhiuddin, G.
    Al-Kadi, D.
    Mahboob, Ahsan
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 23 (02): : 136 - 144
12345