L-fuzzy凸子群度及其诱导的L-fuzzy凸结构

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英文篇名：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 英文作者：HAN Yuanliang;ZHANG Xiaojin;WEN Xiaoyan;College of Science,North China Institute of Science and Technology; 关键词：L-fuzzy凸子群度 ; L-fuzzy凸结构 ; 水平集 ; 完全分配格 英文关键词：L-fuzzy convex subgroup degree;;L-fuzzy convex structure;;cut sets;;complete distributive lattice 中文刊名：SCSD 英文刊名：Journal of Sichuan Normal University(Natural Science) 机构：华北科技学院理学院; 出版日期：2019-01-11 出版单位：四川师范大学学报(自然科学版) 年：2019 期：v.42 基金：中央高校基本科研业务资助项目(3142016023和3142015045) 语种：中文; 页：SCSD201901018 页数：4 CN：01 ISSN：51-1295/N 分类号：115-118

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.

引文

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