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| L-预拓扑空间中模糊网的O-收敛及其应用 | |
| 引用本文： | 钟晓静,尤飞,李生刚.L-预拓扑空间中模糊网的O-收敛及其应用[J].模糊系统与数学,2010,24(1). |
| 作者姓名： | 钟晓静 尤飞 李生刚 |
| 作者单位： | 1. 西南大学,历史文化学院,民族学院,重庆,400715 2. 榆林学院,计算机与网络工程系,陕西,榆林,719000 3. 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
| 基金项目： | 西南大学科研基金资助项目(SWU208022);;陕西省自然科学基础研究计划项目(SJ8A27);;陕西省教育厅专项科研计划项目(08JK) |
| 摘 要： | 利用L-点的邻域研究了L-预拓扑空间中模糊网的O-收敛性,在此基础上刻画了L-预拓扑空间中的闭集、开集以及模糊紧集,并给出T2L-预拓扑空间的两个判据。 |
| 关 键 词： | L-预拓扑空间 O-聚点 O-极限点 O-收敛 T2L-预拓扑空间 L-预拓扑空间中的模糊紧集 |
O-convergence of Fuzzy Nets in L-pretopological Spaces and Its Applications |
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| ZHONG Xiao-jing,YOU Fei,LI Sheng-gang.O-convergence of Fuzzy Nets in L-pretopological Spaces and Its Applications[J].Fuzzy Systems and Mathematics,2010,24(1). | |
| Authors: | ZHONG Xiao-jing YOU Fei LI Sheng-gang |
| Institution: | 1.School of History/a>;Culture and Ethnology/a>;Southwest University/a>;Chongqing 400715/a>;China/a>;2.Department of Computer and Network Engineering/a>;Yulin College/a>;Yulin 719000/a>;3.College of Mathematics and Information Science/a>;Shaanxi Normal University/a>;Xi'an 710062/a>;China |
| Abstract: | In this paper,an O-convergence theory of L-nets is studied in L-pretogological spaces by means of neigborhoods of L-points.Based on this,closed set,open set and fuzzy compact set are characterized in L-pretogological spaces,and two sufficient conditions of T2 L-pretopological spaces are given. |
| Keywords: | L-pretopological Space O-cluster Point O-limit Point O-covergence T2 L-pretopological Space Fuzzy Compact Set in L-pretopological Space |
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