ON (∈,∈ ∨q)-FUZZY FILTERS OF BL-ALGEBRAS

被引：0
作者：
Xueling MA Jianming ZHAN Department of Mathematics
机构：
来源：
Journal of Systems Science & Complexity | 2008年 / 01期
关键词：
BL-algebra; ∈ ∨q)-fuzzy Boolean (implicative; positive implicative; and fantastic) filter;
D O I：
暂无
中图分类号：
O159 [模糊数学];
学科分类号：
070104 ;
摘要：
The authors introduce the notions of (∈,∈∨q)-fuzzy Boolean (implicative,positive implica- tive,and fantastic) filters in BL-algebras,present some characterizations on these generalized fuzzy filters,and describe the relations among these generalized fuzzy filters.It is proved that an (∈,∈∨q)- fuzzy filter in a BL-algebra is Boolean (implicative) if and only if it is both positive implicative and fantastic.
引用
收藏
页码：144 / 158
页数：15
相关论文
共 9 条
  • [1] 关于BL-代数的模糊滤子与模糊理想(英文)
    张小红
    Jun Young Bae
    Doh Myung Im
    [J]. 模糊系统与数学, 2006, (03) : 8 - 20
  • [2] MV-代数、BL-代数、R0-代数与多值逻辑
    王国俊
    [J]. 模糊系统与数学, 2002, (02) : 1 - 15
  • [3] Some Types of Filters in BL Algebras
    M. Haveshki
    A. Borumand Saeid
    E. Eslami
    [J]. Soft Computing, 2007, 11 (2) : 209 - 209
  • [4] (∈, ∈ ∨ q )-fuzzy subnear-rings and ideals[J] . B. Davvaz.Soft Computing . 2006
  • [5] Compact representations of BL-algebras
    Di Nola, A
    Leustean, L
    [J]. ARCHIVE FOR MATHEMATICAL LOGIC, 2003, 42 (08) : 737 - 761
  • [6] Boolean deductive systems of BL-algebras
    Turunen, E
    [J]. ARCHIVE FOR MATHEMATICAL LOGIC, 2001, 40 (06) : 467 - 473
  • [7] Monoidal t-norm based logic : ＜ce:hsp sp="0.33"/＞ towards a logic for left-continuous t-norms[J] . Fuzzy Sets and Systems . 2001 (3)
  • [8] ( ∈,∈∨q )-fuzzy normal, quasinormal and maximal subgroups[J] . Sandeep Kumar Bhakat.Fuzzy Sets and Systems . 2000
  • [9] Algebraic analysis of many valued logics[J] . C. C. Chang.tran . 1958 (2)
1