On relationships of filters in lattice implication algebra

被引:0
|
作者
Lai, Jia-jun [1 ]
Chen, Shu-wei [1 ]
Xu, Yang [1 ]
Qin, Ke-yun [1 ]
Chen, Li [2 ]
机构
[1] Southwest Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 610031, Peoples R China
[2] Jianxi Agr Univ, Dept Mat, Jian, Jiangxi, Peoples R China
基金
美国国家科学基金会;
关键词
FL-filter; NF-filter; lattice implication algebra;
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
In this paper, we introduced the notions of fuzzy lattice filter (briefly, FL-filter), and normal fuzzy filters (briefly, NF-filter) of lattice implication algebras. And we also studied the properties of FL-filters, NF-filters in lattice implication algebra. Several characteristic of FL-filters and NF-filters are given. Respectively the relation between FL-filters and NF-filters, between fuzzy filters and FL-filters are investigated. This article aims at discussing new development of fuzzy filters and its properties.
引用
收藏
页码:1000 / +
页数:3
相关论文
共 50 条
  • [11] On Certain Filters in Lattice Implication Algebras
    刘军
    徐扬
    数学季刊, 1996, (04) : 106 - 110
  • [12] L-fuzzy Lattice Implication Algebra
    SONG Qing-long
    数学季刊, 2006, (02) : 246 - 251
  • [13] On the lattice of filters of a pseudo-BL algebra
    Busneag, Dumitru
    Piciu, Dana
    JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2006, 12 (3-4) : 217 - 248
  • [14] Fuzzy Prime Filters of Lattice Implication Algebras
    Liu, Yi
    Qin, Ke-yun
    Xu, Yang
    FUZZY INFORMATION AND ENGINEERING, 2011, 3 (03) : 235 - 246
  • [15] On fuzzy fantastic filters of lattice implication algebras
    Jun Y.B.
    Song S.Z.
    Journal of Applied Mathematics and Computing, 2004, 14 (1-2) : 137 - 155
  • [16] Hesitant fuzzy filters in lattice implication algebras
    Muhiuddin, G.
    Roh, Eun Hwan
    Ahn, Sun Shin
    Jun, Young Bae
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (06) : 1105 - 1113
  • [17] EQUIVALENT CONDITIONS ON FILTERS OF LATTICE IMPLICATION ALGEBRAS
    Liu, Yi
    Xu, Yang
    Qin, Xiaoyan
    Qin, Ya
    Zhang, Jiafeng
    COMPUTATIONAL INTELLIGENCE: FOUNDATIONS AND APPLICATIONS: PROCEEDINGS OF THE 9TH INTERNATIONAL FLINS CONFERENCE, 2010, 4 : 93 - +
  • [18] (∈,∈ ∨q) -Fuzzy Filters of Lattice Implication Algebras
    Peng Jiayin
    APPLIED INFORMATICS AND COMMUNICATION, PT 4, 2011, 227 : 397 - 404
  • [19] LI-filters in lattice implication algebras
    Liu, YL
    Xu, Y
    Liu, SY
    APPLIED COMPUTATIONAL INTELLIGENCE, 2004, : 71 - 76
  • [20] Lack of associative filters in lattice implication algebras
    Masoud Haveshki
    Mahboobeh Mohamadhasani
    Soft Computing, 2012, 16 : 737 - 738