L-fuzzy闭包系统和L-fuzzy弱邻域算子  

L-fuzzy closure systems and L-fuzzy weak neighborhood operators

作　　者：王新奇[1] 

机构地区：[1]西安文理学院数学系,陕西西安710065

出　　处：《云南大学学报（自然科学版）》2011年第5期507-510,共4页Journal of Yunnan University(Natural Sciences Edition)

基　　金：教育部科学技术研究重点项目(209152)资助

摘　　要：进一步研究L-fuzzy闭包系统,运用一一对应的思想和范畴论的方法研究了确定L-fuzzy闭包系统的另一种方法.设X是集合,L是Hutton代数,首先介绍了L-fuzzy弱邻域算子和它们的L-fuzzy连续映射,然后设L-FCSS是L-fuzzy闭包系统空间和它们的L-fuzzy连续映射构成的范畴,L-FWNS是L-fuzzy弱邻域算子空间和它们的L-fuzzy连续映射构成的范畴,证明了L-FCSS和L-FWNS是同构的.To further study L-fuzzy closure system.Another determination of L-fuzzy closure systems are studied with thehelp of idea of one-to-one correspondence and method of category.Let X be a set.L a Hutton algebra,we first introduce definitions of L-fuzzy weak neighborhood operators and their L-fuzzy continuous mappings.Then let L-FCSS be the category L-fuzzy closure system spaces and their L-fuzzy continuous mappings,L-FWNS be the category L-fuzzy weak neighborhood spaces and their continuous mappings,it mainly gives that L-FCSS is isomorphic to L-FWNS

关 键 词：L-fuzzy闭包系统 L-fuzzy弱邻域算子 范畴 

分 类 号：O189.1[理学—数学]