L-biconvex sets on some fuzzy algebraic substructures

被引：1
|
作者：
Yang, Hui [1 ]
Shi, Yi [1 ,2 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 05期
基金：
中国国家自然科学基金;
关键词：
L-convex structure; L-biconvex set; L-semilattice half-space; L-lattice half-space; L-Boolean lattice half-space; SEPARATION AXIOMS; IDEALS; (L;
D O I：
10.3934/math.2020275
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
With a complete residuated lattice L as the set of truth values, we first introduce the concept of L-biconvex sets. Then we focus on investigating the forms of L-biconvex sets on three fuzzy algebraic substructures which are L-subsemilattices, L-sublattices and L-Boolean sublattices.
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页码：4311 / 4321
页数：11
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