FUZZY IDEALS OF PSEUDO-BCK ALGEBRAS

被引：0
|
作者：
Dymek, Grzegorz [1 ]
Walendziak, Andrzej [2 ]
机构：
[1] John Paul II Catholic Univ Lublin, Fac Math & Nat Sci, Konstantynow 1H, PL-20708 Lublin, Poland
[2] Siedlce Univ, Inst Math & Phys, PL-08110 Siedlce, Poland
来源：
DEMONSTRATIO MATHEMATICA | 2012年 / 45卷 / 01期
关键词：
pseudo-BCK algebra; fuzzy ideal; Noetherian (Artinian) pseudo-BCK algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Characterizations of fuzzy ideals of a pseudo-BCK algebra are established. Conditions for a fuzzy set to be a fuzzy ideal are given. Given a fuzzy set mu, the least fuzzy ideal containing mu is constructed. The homomorphic properties of fuzzy ideals of a pseudo-BCK algebra are provided. Finally, characterizations of Noetherian pseudo-BCK algebras and Artinian pseudo-BCK algebras in terms of fuzzy ideals are given.
引用
下载
收藏
页码：1 / 15
页数：15
相关论文
共 50 条
  • [41] Intuitionistic Fuzzy Soft Ideals in BCK/BCI-algebras
    Balamurugan, M.
    Balasubramanian, G.
    Ragavan, C.
    MATERIALS TODAY-PROCEEDINGS, 2019, 16 : 496 - 503
  • [42] 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
  • [43] NEW TYPES OF BIPOLAR FUZZY IDEALS OF BCK-ALGEBRAS
    Muhiuddin, G.
    Al-Kadi, D.
    Mahboob, A.
    Shum, K. P.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (05): : 859 - 875
  • [44] Fuzzy strong implicative hyper BCK-ideals of hyper BCK-algebras
    Jun, YB
    Shim, WH
    INFORMATION SCIENCES, 2005, 170 (2-4) : 351 - 361
  • [45] Characterizations of Noetherian BCK-algebras via fuzzy ideals
    Jun, YB
    FUZZY SETS AND SYSTEMS, 1999, 108 (02) : 231 - 234
  • [46] Rough sets induced by fuzzy ideals in BCK-Algebras
    Moradian, R.
    Shoar, S. Khosravi
    Radfar, A.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (04) : 2397 - 2404
  • [47] FUZZY TRANSLATIONS OF FUZZY H-IDEALS IN BCK/BCI-ALGEBRAS
    Senapati, Tapan
    Bhowmik, Monoranjan
    Pal, Madhumangal
    Davvaz, Bijan
    JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2015, 21 (01) : 45 - 58
  • [48] Bipolar Fuzzy Subalgebras and Bipolar Fuzzy Ideals of BCK/BCI-Algebras
    Lee, Kyoung Ja
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2009, 32 (03) : 361 - 373
  • [49] Fuzzy soft positive implicative hyper BCK-ideals in hyper BCK-algebras
    Khademan, Somayeh
    Zahedi, Mohammad Mehdi
    Jun, Young Bae
    Borzooei, Rajab Ali
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (03) : 2605 - 2613
  • [50] Fuzzy Ideals in Pseudo-Hoop Algebras
    Alemayehu, Teferi Getachew
    INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2022, 2022
12345