模糊一致Scott拓扑  

Fuzzy uniform scott topology

作　　者：李辉 姜广浩[1] 刘东明 LI Hui;JIANG Guanghao;LIU Dongming(School of Mathematical Science,Huaibei Normal University,Huaibei Anhui 235000,China)

机构地区：[1]淮北师范大学数学科学学院

出　　处：《南昌大学学报（理科版）》2019年第4期313-316,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金地区科学基金项目(11361028);安徽省质量工程项目(2017jxtd146);安徽省高校省级自然科学重点项目(KJ2017A378);淮北师范大学研究生创新基金项目(2017yjscx07);淮北师范大学研究生教育教学研究项目(2017jyxm03)

摘　　要：在模糊一致偏序集上首先引入模糊一致Scott开集和模糊一致Scott拓扑的概念,考察其相关性质,其次给出模糊一致Scott闭集的概念,研究相关等价刻画,最后给出一个US性质,证明当A∈L X为模糊一致Scott开集或模糊下集时均满足此性质。The concepts of fuzzy uniform Scott open set and fuzzy uniform Scott topologyon the fuzzy uniform posets are introduced and some properties are investigated.Also,the definition of fuzzy uniform Scott closed set as well as someequivalent characterizations are given.Furthermore,a property of US ispresented and both the fuzzy uniform Scott open sets and fuzzy lower sets are proved to satisfythis property.

关 键 词：模糊一致完备集 模糊一致Scott开集 模糊一致Scott闭集 

分 类 号：O159[理学—数学]