OPEN PROBLEM OF PSEUDO BL-ALGEBRAS

被引:0
|
作者
Wang, Wei [1 ,2 ]
Zhao, Kuan-Kuan [1 ]
Xu, Jian-Chao [1 ]
机构
[1] Xian Shiyou Univ, Coll Sci, Xian 710065, Shaanxi, Peoples R China
[2] Southwest Jiaotong Univ, Coll Elect Engn, Chengdu 610031, Sichuan, Peoples R China
基金
中国国家自然科学基金;
关键词
Pseudo BL-algebras; Boolean filter; normal filter; FILTERS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We constructed the equivalent conditions of normal filter of pseudo BL-algebras, then we reveal the relation between Boolean filter and normal filter of pseudo BL-algebras, based on which, we solve an open problem that whether or not every Boolean filter is normal in pseudo BL-algebras.
引用
收藏
页码:515 / 520
页数:6
相关论文
共 50 条
  • [11] On the Structure of Pseudo BL-algebras and Pseudo Hoops in Quantum Logics
    Dvurecenskij, A.
    Giuntini, R.
    Kowalski, T.
    FOUNDATIONS OF PHYSICS, 2010, 40 (9-10) : 1519 - 1542
  • [12] On the Structure of Pseudo BL-algebras and Pseudo Hoops in Quantum Logics
    A. Dvurečenskij
    R. Giuntini
    T. Kowalski
    Foundations of Physics, 2010, 40 : 1519 - 1542
  • [13] Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras
    Liang, Rong
    Zhang, Xiaohong
    MATHEMATICS, 2022, 10 (16)
  • [14] BL-algebras and effect algebras
    Vetterlein, T
    SOFT COMPUTING, 2005, 9 (08) : 557 - 564
  • [15] BL-algebras and effect algebras
    T. Vetterlein
    Soft Computing, 2005, 9 : 557 - 564
  • [16] Classes of pseudo BL-algebras with right Boolean lifting property
    Nia, B. Barani
    Saeid, A. Borumand
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2018, 172 (02) : 146 - 163
  • [17] Quasihyperarchimedean BL-algebras
    Lele, Celestin
    Nganou, Jean B.
    Oumarou, Christian M. S.
    FUZZY SETS AND SYSTEMS, 2023, 463
  • [18] Uniform BL-algebras
    R. Khanegir
    G. R. Rezaei
    N. Kouhestani
    Soft Computing, 2019, 23 : 5991 - 6003
  • [19] Solutions to Open Problems on Fuzzy Filters of BL-algebras
    Wei, Wang
    Saeid, Arsham Borumand
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2015, 8 (01) : 106 - 113
  • [20] Varieties of BL-algebras
    Di Nola, A
    Esteva, F
    Godo, L
    Montagna, F
    SOFT COMPUTING, 2005, 9 (12) : 875 - 888