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L-拓扑空间的相对近似模糊紧集及其性质
引用本文:李尧龙,阴国富.L-拓扑空间的相对近似模糊紧集及其性质[J].陕西工学院学报,2011(3):40-43.
作者姓名:李尧龙  阴国富
作者单位:渭南师范学院数学与信息科学学院,陕西渭南714000
基金项目:陕西自然科学基础研究基金资助项目(2011JM1010);陕西教育厅科研基金资助项目(11JK0480);渭南师范学院重点科研项目(11YKF011).
摘    要:当L是完备格的DeMorgan代数时定义了L一拓扑空间的相对近似模糊紧性。讨论了相对近似模糊紧性与近似模糊紧性之间的关系,并用网和覆盖等工具对相对近似模糊紧性进行了刻画,研究了相对近似模糊紧性的性质。证明了相对近似模糊紧性的闭遗传性等性质。给出了相对近似模糊紧性的若干等价刻画。

关 键 词:拓扑空间  相对近似模糊紧性  分子  远域

The relative near fuzzy compactness and their properties in L-Topological spaces
LI Yao-Long,YIN Guo-fu.The relative near fuzzy compactness and their properties in L-Topological spaces[J].Journal of Shaanxi Institute of Technology,2011(3):40-43.
Authors:LI Yao-Long  YIN Guo-fu
Affiliation:(School of Mathematics and Information Science, Weinan Teachers College, Weinan 714000, China)
Abstract:The concept of relative near fuzzy compactness is introduced in L-topological spaces. For L, a complete DeMorgan algebra is defined, Relations between relative near fuzzy compactness and near fuzzy compactness were discussed. Some characteristic theorems of relative near compactness were given in term of nets and covers. Finally, some properties of relative near fuzzy compactness were presented.
Keywords:L-topological space  relative near compactness  molecule  remote neighborhood
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