Further Research of Generated Filters in Lattice Implication Algebra

被引:0
|
作者
Guo, Ling [1 ]
Xu, Yang [1 ]
Du, Shaokun [2 ]
机构
[1] Southwest Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 610031, Peoples R China
[2] Hebei Engn & Tech Coll, Bas Dept, Changzhou 061001, Peoples R China
基金
中国国家自然科学基金;
关键词
Lattice implication algebra; Filters; Generated filters; RESIDUATED LATTICES; BL-ALGEBRAS;
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 combining LHIA research the generated filters of lattice implication algebra. Firstly some new properties of lattice implication algebra are discussed. Then a structure of generated filter of two filters' union is obtained. Finally some elementary properties are given and a simple proof of (F (L), boolean OR, boolean AND) is a complete distributive lattice is also obtained.
引用
收藏
页码:355 / +
页数:3
相关论文
共 50 条
  • [21] (∈,∈ ∨q) -Fuzzy Filters of Lattice Implication Algebras
    Peng Jiayin
    APPLIED INFORMATICS AND COMMUNICATION, PT 4, 2011, 227 : 397 - 404
  • [22] LI-filters in lattice implication algebras
    Liu, YL
    Xu, Y
    Liu, SY
    APPLIED COMPUTATIONAL INTELLIGENCE, 2004, : 71 - 76
  • [23] Lack of associative filters in lattice implication algebras
    Masoud Haveshki
    Mahboobeh Mohamadhasani
    Soft Computing, 2012, 16 : 737 - 738
  • [24] Lack of associative filters in lattice implication algebras
    Haveshki, Masoud
    Mohamadhasani, Mahboobeh
    SOFT COMPUTING, 2012, 16 (04) : 737 - 738
  • [25] (∈,∈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
  • [26] NOTE ON CONGRUENCE LATTICE OF A FINITELY GENERATED ALGEBRA
    RIVAL, I
    SANDS, B
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (03) : 451 - 455
  • [27] 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
  • [28] 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
  • [29] 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
  • [30] 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 - +