On lower bounded lattices

被引：9
|
作者：
Adaricheva, KV
Gorbunov, VA
机构：
[1] Oak Park, IL
来源：
ALGEBRA UNIVERSALIS | 2001年 / 46卷 / 1-2期
关键词：
lower bounded lattice; free lattice; join-semidistributive lattice;
D O I：
10.1007/PL00000337
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the several properties defining the class of finite lower bounded lattices are not equivalent in general. We establish also a new structural property of the class of lower bounded lattices.
引用
收藏
页码：203 / 213
页数：11
相关论文
共 50 条
  • [41] Uni-nullnorms on bounded lattices
    Wang, Ya-Ming
    Zhan, Hang
    Liu, Hua-Wen
    FUZZY SETS AND SYSTEMS, 2020, 386 : 132 - 144
  • [42] On a new class of uninorms on bounded lattices
    Cayli, Gul Deniz
    Karacal, Funda
    Mesiar, Radko
    INFORMATION SCIENCES, 2016, 367 : 221 - 231
  • [43] Condorcet Winners on Bounded and Distributive Lattices
    Cardin, Marta
    NEW TRENDS IN AGGREGATION THEORY, 2019, 981 : 339 - 346
  • [44] Uninorms on Bounded Lattices - Recent Development
    Bodjanova, Slavka
    Kalina, Martin
    ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017, VOL 1, 2018, 641 : 224 - 234
  • [45] On Properties of Internal Uninorms on Bounded Lattices
    Cayli, Gul Deniz
    NEW TRENDS IN AGGREGATION THEORY, 2019, 981 : 115 - 128
  • [46] NOTE ON "CONSTRUCTION OF UNINORMS ON BOUNDED LATTICES"
    Hua, Xiu-Juan
    Zhang, Hua-Peng
    Ouyang, Yao
    KYBERNETIKA, 2021, 57 (02) : 372 - 382
  • [47] New constructions of nullnorms on bounded lattices
    Hua, Xiujuan
    FUZZY SETS AND SYSTEMS, 2022, 439 : 126 - 141
  • [48] New structures for uninorms on bounded lattices
    Xiu, Zhen-Yu
    Jiang, Yu-Xiu
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 45 (02) : 2019 - 2030
  • [49] States on bounded commutative residuated lattices
    Kondo, Michiro
    MATHEMATICA SLOVACA, 2014, 64 (05) : 1093 - 1104
  • [50] On extensions of triangular norms on bounded lattices
    Saminger-Platz, Susanne
    Klement, Erich Peter
    Mesiar, Radko
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2008, 19 (01): : 135 - 150
12345