L-fuzzy凸子群度及其诱导的L-fuzzy凸结构  

The Degree of L-fuzzy Convex Group and the Induced L-fuzzy Convex Structure

作　　者：韩元良 张晓瑾 文小艳 HAN Yuanliang;ZHANG Xiaojin;WEN Xiaoyan(College of Science, North China Institute of Science and Technology, Langfang 065201, Hebei)

机构地区：[1]华北科技学院理学院,河北廊坊065201

出　　处：《四川师范大学学报（自然科学版）》2019年第1期111-114,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：中央高校基本科研业务资助项目(3142016023和3142015045)

摘　　要：在值格L为完全分配格的条件下,给出L-fuzzy凸子群度的定义,借助模糊子集的水平集,得到L-fuzzy凸子群度的几种等价刻画形式及性质,同时还基于L-fuzzy凸子群度诱导出一种新的L-fuzzy凸结构.Under the condition that lattice L is a completely distributive lattice,the definition of the L-fuzzy convex subgroup degree is given.With the help of the cut sets of fuzzy sets,several equivalent characterizations of the L-fuzzy convex subgroup degree are obtained.Also a new L-fuzzy convex structure is induced on the basis of the L-fuzzy convex subgroup degree.

关 键 词：L-fuzzy凸子群度 L-fuzzy凸结构 水平集 完全分配格 

分 类 号：O159[理学—数学]