Linguistic Truth Values Lattice Implication Algebras

被引:0
|
作者
潘小东
徐扬
机构
[1] Chengdu 610031
[2] Department of Mathematics Southwest Jiaotong University
[3] Department of Mathematics Southwest Jiaotong University
基金
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词
linguistic truth value; linguistic variable; computing with words; lattice implication algebra; Subalgebra;
D O I
10.19884/j.1672-5220.2006.06.025
中图分类号
H0-05 [语言与其他学科的关系];
学科分类号
030303 ; 0501 ; 050102 ;
摘要
In order to study uncertainty reasoning and automatic reasoning with linguistic terms, in this paper, the set of basic linguistic truth values and the set of modifiers are defined, according to common sense; partially orderings are defined on them. Based on it, a lattice implication algebra model L18 of linguistic terms is built; furthermore, its some basic properties are discussed.
引用
收藏
页码:101 / 104 +109
页数:5
相关论文
共 50 条
  • [41] Interval valued (∈,∈∨ q)-fuzzy filters of lattice implication algebras
    Peng Jiayin
    2010 THE 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND INDUSTRIAL APPLICATION (PACIIA2010), VOL IV, 2010, : 224 - 227
  • [42] Some kinds of falling fuzzy filters of lattice implication algebras
    Xue-ling Ma
    Jian-ming Zhan
    Young-Bae Jun
    Applied Mathematics-A Journal of Chinese Universities, 2015, 30 : 299 - 316
  • [43] (∈,∈ Vq)-fuzzy LI-ideals in lattice implication algebras
    Peng, Jiayin
    Lecture Notes in Electrical Engineering, 2012, 135 LNEE : 221 - 226
  • [44] Some kinds of falling fuzzy filters of lattice implication algebras
    Ma Xue-ling
    Zhan Jian-ming
    Jun Young-bae
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2015, 30 (03) : 299 - 316
  • [45] Progress and prospect in lattice-valued logic systems based on lattice implication algebras
    Xu, Y
    Ruan, D
    Liu, J
    APPLIED COMPUTATIONAL INTELLIGENCE, 2004, : 29 - 34
  • [46] THE ALGEBRA STRUCTURE OF LINGUISTIC TRUTH-VALUED INTUITIONISTIC FUZZY LATTICE
    Liu, Xin
    Yin, Ming'e
    Zou, Li
    DECISION MAKING AND SOFT COMPUTING, 2014, 9 : 233 - 238
  • [47] A Linguistic-Valued Lattice Implication Algebra Approach for Risk Analysis
    Zou, Li
    Ruan, Da
    Pei, Zheng
    Xu, Yang
    JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2011, 17 (04) : 293 - 303
  • [48] Rough soft lattice implication algebras and corresponding decision making methods
    Hua Zhang
    Jianming Zhan
    International Journal of Machine Learning and Cybernetics, 2017, 8 : 1301 - 1308
  • [49] Rough soft lattice implication algebras and corresponding decision making methods
    Zhang, Hua
    Zhan, Jianming
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (04) : 1301 - 1308
  • [50] Fuzzy positive implicative and fuzzy associative filters of lattice implication algebras
    Jun, YB
    FUZZY SETS AND SYSTEMS, 2001, 121 (02) : 353 - 357