| I-Fuzzy拓扑空间中的基与子基 |
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| 引用本文： | 方进明,岳跃利. I-Fuzzy拓扑空间中的基与子基[J]. 数学研究及应用, 2006, 26(1): 89-95 |
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| 作者姓名： | 方进明 岳跃利 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛,266071 |
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| 基金项目： | the Natural Science Foundation of Shandong Province (Q99A02) |
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| 摘 要： | 本文给出了I-fuzzy拓扑空间中基与子基的合理定义,对连续映射和开映射进行了刻画。此外,文中界定了乘积空间中基与子基并研究了乘积空间与因子空间的关系。
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| 关 键 词： | I-Fuzzy拓扑 I-Fuzzy重域系统 基 子基 乘积空间 |
| 文章编号： | 1000-341X(2006)01-0089-07 |
| 收稿时间： | 2003-06-17 |
| 修稿时间： | 2003-06-17 |
Base and Subbase in I-Fuzzy Topological Spaces |
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| FANG Jin-ming and YUE Yue-li. Base and Subbase in I-Fuzzy Topological Spaces[J]. Journal of Mathematical Research with Applications, 2006, 26(1): 89-95 |
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| Authors: | FANG Jin-ming and YUE Yue-li |
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| Affiliation: | Dept. of Math.; Ocean University of China; Qingdao; China;Dept. of Math.; Ocean University of China; Qingdao; China |
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| Abstract: | In this paper, we give the concepts of the base and subbase in I-fuzzy topological spaces, and use them to score continuous mapping and open mapping. We also study the base and subbase in the product space of I-fuzzy topological spaces. |
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| Keywords: | I-fuzzy topology I-fuzzy quasi-coincident neighborhood system base subbase product space. |
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