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
  • [21] Lack of associative filters in lattice implication algebras
    Haveshki, Masoud
    Mohamadhasani, Mahboobeh
    SOFT COMPUTING, 2012, 16 (04) : 737 - 738
  • [22] (∈,∈vq)-fuzzy filters of lattice implication algebras
    Peng Jiayin
    2010 THE 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND INDUSTRIAL APPLICATION (PACIIA2010), VOL IV, 2010, : 220 - 223
  • [23] The (∈,∈∨q(λ,μ)) - Fuzzy Implicative Filter of Lattice Implication Algebra
    Fu, Xiao-Bo
    Liao, Zu-Hua
    Zhu, Chan
    2013 INTERNATIONAL CONFERENCE ON FUZZY THEORY AND ITS APPLICATIONS (IFUZZY 2013), 2013, : 452 - 459
  • [24] LI-ideal Spaces of Lattice Implication Algebra
    CHEN Shu-wei~(1
    2.Institute of Data & Knowledge Engineering
    3.Department of Mathematics
    数学季刊, 2007, (04) : 504 - 511
  • [25] 2-dimension linguistic lattice implication algebra
    Zhu, Hua
    Zhao, Jianbin
    Chang, Wenjing
    Xu, Yang
    2015 10TH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE), 2015, : 128 - 132
  • [26] Sub-algebras of finite lattice implication algebra
    Xu, Yang
    Ma, Jun
    Lai, Jiajun
    THEORETICAL ADVANCES AND APPLICATIONS OF FUZZY LOGIC AND SOFT COMPUTING, 2007, 42 : 813 - +
  • [27] Weak LI-ideal in Lattice Implication Algebra
    Lai Jiajun
    Xu Yang
    Zeng Zhaoyou
    Wu Shuiting
    INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND NETWORK SECURITY, 2006, 6 (9A): : 28 - 32
  • [28] Uncertainty reasoning based on filter of lattice implication algebra
    Ma, J
    Li, TR
    Gao, Y
    2003 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-5, PROCEEDINGS, 2003, : 1578 - 1582
  • [29] The (∈,∈ vq(λ,μ))-Fuzzy Implicative Ideal of Lattice Implication Algebra
    Fu, Xiaobo
    Liao, Zuhua
    INTERNATIONAL JOINT CONFERENCE ON APPLIED MATHEMATICS, STATISTICS AND PUBLIC ADMINISTRATION (AMSPA 2014), 2014, : 124 - 132
  • [30] A method of constructing a quasi-lattice implication algebra
    Zeng, CH
    APPLIED COMPUTATIONAL INTELLIGENCE, 2004, : 41 - 44