作者：吴亚凤

出处：北京理工大学 2005

摘要：本文目的是在L-拓扑空间中建立滤子的O-收敛理论并给出它的若干应用. 在2003年, 史福贵以邻域为工具建立了一种网的O-收敛理论, 解决了邻域方法遇到的困难. 在这篇文章的第一部分中, 我们首先给出了滤子的O-极限点和O-聚点、O*-聚点以及 -聚点等新定义并讨论了它们的性质. 在此基础上, 讨论 ...

作者：刘静

学位名称：硕士

出处：北京理工大学

作者：Zhang, Zhongxi;Shi, Fu-Gui;Li, Qingguo （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;²School of Computer and Control Engineering, Yantai University, Yantai, 264005, Shandong, China;³College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, China）

出处：Topology and its Applications 2022

摘要：In this paper, we consider a full subcategory R of the category CL0 of T0 closure spaces satisfying certain conditions. We give a construction for the ...

作者：Gamal, Mohamed;Shi, Fu-Gui （¹Department of Mathematics, Faculty of Science, South Valley University, Qena; 83523, Egypt;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 102488, China）

出处：arXiv 2022

摘要：In this article, we investigate some fixed point results satisfying a new generalized - implicit contractive condition in ordered complete multiplicat ...

作者：Xiaowei Wei;Fu-Gui Shi （¹School of Mathematics and Statistics, Beijing Institute of Technology, 102488, Beijing, China）

出处：International Journal of Theoretical Physics 2022

关键词：Effect algebra;Convex structure;Morphism;Net;Convexity property

摘要：In this paper, we obtain that all filters and the empty set of every effect algebra could naturally form a convex structure, which is called a filter ...

作者：Chengyu Liang;Fu-Gui Shi;Jinyan Wang （¹College of Science, North China University of Technology, Beijing 100144, PR China;²School of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China）

出处：Fuzzy Sets and Systems 2023

关键词：( L , M ) -fuzzy bornology;( L , M ) -fuzzy bornological vector space;M-fuzzifying bornology;M-fuzzifying bornological vector space

摘要：In this paper, the notions of ( L , M ) -fuzzy bornological space and ( L , M ) -fuzzy bornological vector space are introduced. Some properties are d ...

作者：Dong, Yanyan;|Shi, Fu-Gui （¹Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology）

出处：Communications in Algebra 2023

关键词：03G20;06D35;52A01;Convex structure;ideal convexity;MV-algebra;paraconvex MV-algebra;separation axiom;weak convex MV-algebra

摘要：The aim of this paper is to introduce convex structures on MV-algebras such that the MV-operations are convexity preserving or weak convexity preservi ...

作者：Shi, Fu-Gui;|Wei, Xiaowei （¹Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology）

出处：Communications in Algebra 2023

关键词：08A05;52A01;Convex filter;DC-net;effect algebra;interval convexity;interval operator

摘要：In this paper, we first propose the concept of DC-nets, where its domain is a DCPO, in convexity spaces and discuss some related properties. And then, ...

作者：陈鹏;史福贵 （Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China）

出处：J. Math. Res. Exposition 2008

关键词：topology on lattice;Erceg\'s metric;pointwise metric;Q-CI.

摘要：In [6],it is proved that Erceg\'s pseudo-metric and pointwise pseudo-metric presented by Shi are equivalent.In this paper,it is proved that Theorem 1 ...

作者：Fu-Gui Shi （¹School of Mathematics and Statistics Beijing Institute of Technology Beijing 102488, P.R. China）

出处：Transactions on Fuzzy Sets and Systems 2022

关键词：$lm$-fuzzy topology;$lm$-fuzzy closure operator;$lm$-fuzzy semiopen operator;$lm$-fuzzy preopen operator;$lm$-fuzzy regular open operator

摘要：In this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator an ...