Algebraic properties on the cuts of lattice-valued regular languages

被引:2
|
作者
Liang, Changjian [1 ,2 ]
Li, Yongming [1 ,3 ]
机构
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] Shangqiu Normal Univ, Coll Software, Shangqiu 476000, Peoples R China
[3] Shaanxi Normal Univ, Coll Comp Sci, Xian 710062, Peoples R China
基金
中国国家自然科学基金;
关键词
fuzzy languages; lattice-valued regular languages; closure properties; level structure;
D O I
10.1007/s00500-007-0271-y
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, the algebraic operations on the cuts of lattice-valued regular languages are studied. Some sufficient conditions are given to guarantee the family of the cuts of lattice-valued regular languages to be closed under such algebraic operations as union, intersection, complement, quotient, homomorphism, inverse homomorphism, concatennation, reversal, etc.
引用
收藏
页码:1049 / 1057
页数:9
相关论文
共 50 条
  • [21] Lattice-valued continuous convergence is induced by a lattice-valued uniform convergence structure
    Jaeger, Gunther
    FUZZY SETS AND SYSTEMS, 2006, 157 (20) : 2715 - 2724
  • [22] A Bijection between Lattice-Valued Filters and Lattice-Valued Congruences in Residuated Lattices
    Wei, Wei
    Qiang, Yan
    Zhang, Jing
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [23] Lattice-valued betweenness relations and its induced lattice-valued convex structures
    Shi, Yi
    Shi, Fu-Gui
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (06) : 8523 - 8533
  • [24] On the aspects of enriched lattice-valued topological groups and closure of lattice-valued subgroups
    Ahsanullah, T. M. G.
    Al-Thukair, Fawzi
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (03): : 949 - 968
  • [25] Lattice-Valued Topological Systems as a Framework for Lattice-Valued Formal Concept Analysis
    Solovyov, Sergey A.
    JOURNAL OF MATHEMATICS, 2013, 2013
  • [26] On the uniformization of lattice-valued frames
    Gutierrez Garcia, J.
    Mardones-Perez, I.
    Picado, J.
    de Prada Vicente, M. A.
    FUZZY SETS AND SYSTEMS, 2011, 166 (01) : 90 - 100
  • [27] Modifications: Lattice-valued structures
    Losert, B.
    Boustique, H.
    Richardson, G.
    FUZZY SETS AND SYSTEMS, 2013, 210 : 54 - 62
  • [28] A lattice-valued set theory
    Titani, S
    ARCHIVE FOR MATHEMATICAL LOGIC, 1999, 38 (06) : 395 - 421
  • [29] A lattice-valued set theory
    Satoko Titani
    Archive for Mathematical Logic, 1999, 38 : 395 - 421
  • [30] Lattice-valued coarse structures
    Wang, Yongchao
    Pang, Bin
    Shi, Fu-Gui
    FUZZY SETS AND SYSTEMS, 2025, 499