| 摘要: |
| 本文研究了模糊拓扑生成序空间与其诱导的I-fuzzy拓扑生成序空间之间的关系.利用三种Lowen映射内在关联的方法,引入了三种I-fuzzy拓扑生成序空间,建立了诱导的I-fuzzy拓扑生成序空间理论.获得了诱导的I-fuzzy拓扑与诱导的I-fuzzy拓扑生成序之间的从属关系. |
| 关键词: 弱诱导的I-fuzzy拓扑生成序空间 诱导的I-fuzzy拓扑生成序空间 满层I-fuzzy拓扑生成序空间 I-fuzzy拓扑空间 |
| DOI： |
| 分类号:O189.13 |
| 基金项目:国家自科基金(10971125);广东省自科基金(01000004);湖南科技学院重点学科建设项目. |
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| ON INDUCED I-FUZZY TOPOGENOUS ORDER SPACES |
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WU Xiu-Yun1,2, BAI Shi-zhong3
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1.Dept. of Mathematics and Computing Science, Institute of Computational Mathematics, Hunan Institute of Science and Engineering, Yongzhong 425100, China;2.Dept. of Mathematics and Computing Science, Xiangtan University, Xiangtan 411105, China;3.Dept. of Mathematics and Computing Science Wuyi university, Jiangmen 529020, China
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| Abstract: |
| In this article, we study the relations between fuzzy topogenous spaces and their induced I-fuzzy topogenous spaces. By using the internal relationships of three Lowen functions, we introduce three I-fuzzy topogenous spaces and establish the theory of induced I-fuzzy topogenous spaces. We obtain the subordinate relations between I-fuzzy topologies and I-fuzzy topogenous orders. |
| Key words: weakly induced I-fuzzy topogenous space induced I-fuzzy topogenous space stratified I-fuzzy topogenous space I-fuzzy topological space |
