DOUBT BIPOLAR FUZZY SUBALGEBRAS AND IDEALS IN BCK/BCI-ALGEBRAS

被引：0
|
作者：
Al-Masarwah, Anas [1 ]
Ahmad, Abd Ghafur [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Ukm Bangi 43600, Selangor De, Malaysia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS | 2018年 / 9卷 / 03期
关键词：
BCK/BCI-algebras; Fuzzy subalgebras; Fuzzy ideals; Bipolar fuzzy subalgebras; Bipolar fuzzy ideals; Doubt bipolar fuzzy subalgebras; Doubt bipolar fuzzy ideals;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notions of doubt bipolar fuzzy subalgebras and (closed) doubt bipolar fuzzy ideals are introduced, and related properties are investigated. Characterizations of a doubt bipolar fuzzy subalgebra and a doubt bipolar fuzzy ideal are given, and relations between a doubt bipolar fuzzy subalgebra and a doubt bipolar fuzzy ideal are discussed. The concepts of homomorphic preimages and doubt images of doubt bipolar fuzzy ideals in BCK/BCI- algebras are investigated. Conditions for a doubt bipolar fuzzy ideal to be a closed doubt bipolar fuzzy ideal are provided.
引用
收藏
页码：9 / 27
页数：19
相关论文
共 50 条
  • [21] Fuzzy Subalgebras of Type (alpha, beta) in BCK/BCI-Algebras
    Jun, Young Bae
    KYUNGPOOK MATHEMATICAL JOURNAL, 2007, 47 (03): : 403 - 410
  • [22] (inf, sup)-Hesitant Fuzzy Subalgebras of BCK/BCI-Algebras
    Chunsee, Napaporn
    Prasertpong, Rukchart
    Khamrot, Pannawit
    Gaketem, Thiti
    Iampan, Aiyared
    Julatha, Pongpun
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 29 (02): : 142 - 155
  • [23] Subalgebras of BCK/BCI-algebras based on (α, β)-type fuzzy sets
    Muhiuddin, G.
    Al-roqi, Abdullah M.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (06) : 1057 - 1064
  • [24] Subalgebras and ideals in BCK/BCI-algebras based on Uni-hesitant fuzzy set theory
    Muhiuddin, G.
    Aldhafeeri, Shuaa
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (02): : 417 - 430
  • [25] Hyperfuzzy Ideals in BCK/BCI-Algebras
    Song, Seok-Zun
    Kim, Seon Jeong
    Jun, Young Bae
    MATHEMATICS, 2017, 5 (04)
  • [26] Soft subalgebras and ideals of BCK/BCI-algebras based on N-structures
    Bordbar, Hashem
    Borzooei, Rajab Aali
    Saeid, Arsham Borumand
    Jun, Young Bae
    SOFT COMPUTING, 2021, 25 (20) : 12789 - 12795
  • [27] Hybrid Ideals of BCK/BCI-Algebras
    Kang, Kyung-Tae
    Song, Seok-Zun
    Roh, Eun Hwan
    Jun, Young
    AXIOMS, 2020, 9 (03)
  • [28] A Generalization of Semidetached Subalgebras in BCK/BCI-algebras
    Bordbar, Hashem
    Bordbar, Mohammad Rahim
    Jun, Young Bae
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2019, 15 (03) : 489 - 501
  • [29] BIPOLAR FUZZY a-IDEALS OF BCI-ALGEBRAS
    Lee, Kyoung Ja
    Jun, Young Bae
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 26 (04): : 531 - 542
  • [30] m-Polar (α, β)-Fuzzy Ideals in BCK/BCI-Algebras
    Al-Masarwah, Anas
    Ahmad, Abd Ghafur
    SYMMETRY-BASEL, 2019, 11 (01):
12345