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
  • [41] Soft ideals of BCK/BCI-algebras based on fuzzy set theory
    Jun, Young Bae
    Zhan, Jianming
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (12) : 2502 - 2515
  • [42] 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
  • [43] 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
  • [44] Cubic soft ideals in BCK/BCI-algebras
    Jun, Young Bae
    Muhiuddin, G.
    Ozturk, Mehmet Ali
    Roh, Eun Hwan
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (05) : 929 - 940
  • [45] 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
  • [46] Anti-intuitionistic Fuzzy Soft Ideals in BCK/BCI-algebras
    Balamurugan, M.
    Ragavan, C.
    Balasubramanian, G.
    MATERIALS TODAY-PROCEEDINGS, 2019, 16 : 532 - 539
  • [47] Fuzzy ideals in BCI-algebras
    Liu, YL
    Meng, J
    FUZZY SETS AND SYSTEMS, 2001, 123 (02) : 227 - 237
  • [48] Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms
    Al-Masarwah, Anas
    Ahmad, Abd Ghafur
    Neutrosophic Sets and Systems, 2020, 33 : 275 - 289
  • [49] Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms
    Al-Masarwah, Anas
    Ahmad, Abd Ghafur
    NEUTROSOPHIC SETS AND SYSTEMS, 2020, 33 : 275 - 289
  • [50] Some Results in Bipolar-Valued Fuzzy BCK/BCI-Algebras
    Saeid, A. Borumand
    Rafsanjani, M. Kuchaki
    NETWORKED DIGITAL TECHNOLOGIES, PT 1, 2010, 87 : 163 - 168