Lattice groups

被引:0
作者
Kurdachenko, L. A. [1 ]
Yashchuk, V. S. [1 ]
Subbotin, I. Ya. [2 ]
机构
[1] Oles Honchar Dnipropetrovsk Natl Univ, Dept Algebra, 72 Gagarin Av, UA-49010 Dnepropetrovsk, Ukraine
[2] Natl Univ, Dept Math & Nat Sci, Los Angeles, CA 90045 USA
来源
ALGEBRA & DISCRETE MATHEMATICS | 2015年 / 20卷 / 01期
关键词
group; lattice; distributive lattice; fuzzy group; semi-group;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semi-group and it appeared as the result of our new approach to the fuzzy groups and L-fuzzy groups where L is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions.
引用
收藏
页码:126 / 141
页数:16
相关论文
共 6 条
  • [1] L-FUZZY SETS
    GOGUEN, JA
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 18 (01) : 145 - &
  • [2] Kurdachenko LA, 2013, ALGEBRA DISCRET MATH, V15, P23
  • [3] Kurdachenko L.A., 2013, SERDICA MATH J, V39, P83
  • [4] Mordeson J, 2001, FUZZY MATH
  • [5] Mordeson J.N., 2005, FUZZY GROUP THEORY
  • [6] FUZZY SETS
    ZADEH, LA
    [J]. INFORMATION AND CONTROL, 1965, 8 (03): : 338 - &