EXISTENCE OF FUZZY IDEALS WITH ADDITIONAL CONDITIONS IN BCK/BCI-ALGEBRAS

被引:0
|
作者
Jun, Young Bae [1 ,2 ]
Park, Chul Hwan [3 ]
机构
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[3] Univ Ulsan, Dept Math, Ulsan 680749, South Korea
关键词
(anti) isotone map; (fuzzy) ideal;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give an answer to the following question: Question. Let S be a subset of [0, 1] containing a maximal element m > 0 and let C := {I-t | t is an element of S} be a decreasing chain of ideals of a BCK/BCI-algebra X. Then does there exists a fuzzy ideal mu of X such that mu(X) = S and C-mu = C?
引用
收藏
页码:223 / 230
页数:8
相关论文
共 50 条
  • [1] On fuzzy ideals in BCK/BCI-algebras
    Meng, J
    Guo, X
    [J]. FUZZY SETS AND SYSTEMS, 2005, 149 (03) : 509 - 525
  • [2] TRANSLATIONS OF FUZZY IDEALS IN BCK/BCI-ALGEBRAS
    Jun, Young Bae
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (03): : 349 - 358
  • [3] New types of fuzzy ideals in BCK/BCI-algebras
    Jun, Young Bae
    Lee, Kyoung Ja
    Park, Chul Hwan
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (03) : 771 - 785
  • [4] Intuitionistic Fuzzy Soft Ideals in BCK/BCI-algebras
    Balamurugan, M.
    Balasubramanian, G.
    Ragavan, C.
    [J]. MATERIALS TODAY-PROCEEDINGS, 2019, 16 : 496 - 503
  • [5] Hyperfuzzy Ideals in BCK/BCI-Algebras
    Song, Seok-Zun
    Kim, Seon Jeong
    Jun, Young Bae
    [J]. MATHEMATICS, 2017, 5 (04)
  • [6] Hybrid Ideals of BCK/BCI-Algebras
    Kang, Kyung-Tae
    Song, Seok-Zun
    Roh, Eun Hwan
    Jun, Young
    [J]. AXIOMS, 2020, 9 (03)
  • [7] m-Polar (α, β)-Fuzzy Ideals in BCK/BCI-Algebras
    Al-Masarwah, Anas
    Ahmad, Abd Ghafur
    [J]. SYMMETRY-BASEL, 2019, 11 (01):
  • [8] CLASSFICATIONS OF (alpha, beta)-FUZZY IDEALS IN BCK/BCI-ALGEBRAS
    Muhiuddin, G.
    Al-Roqi, Abdullah M.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2016, 7 (06): : 89 - 96
  • [9] A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras
    Balamurugan, Manivannan
    Ramesh, Thukkaraman
    Al-Masarwah, Anas
    Alsager, Kholood
    [J]. MATHEMATICS, 2024, 12 (10)
  • [10] (inf, sup)-Hesitant Fuzzy Ideals of BCK/BCI-Algebras
    Ratchakhwan, Noppakao
    Julatha, Pongpun
    Gaketem, Thiti
    Khamrot, Pannawit
    Prasertpong, Rukchart
    Iampan, Aiyared
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20