| 李令强,金秋,赵海信.L~*上的“way-below”关系及其应用[J].井冈山大学自然版,2011,(2):4-6 |
| L~*上的“way-below”关系及其应用 |
| THE WAY-BELOW RELATION ON L~* AND ITS APPLICATION |
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| DOI： |
| 中文关键词: way-below关系 Scott拓扑 直觉模糊集 模糊拓扑 |
| 英文关键词: way-below relation Scott topology intuitionistic fuzzy set fuzzy topology |
| 基金项目:国家自然科学基金天元青年基金项目(10926044); 聊城大学博士基金项目(31805) |
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| 摘要点击次数: 2011 |
| 全文下载次数: 0 |
| 中文摘要: |
| 研究了直觉模糊集的真值域L*上的"way-below"关系,利用L*上的"way-below"关系,构造了[0,1]-拓扑范畴[0,1]-Top与oker意义下的直觉模糊拓扑范畴IFTop之间的一对伴随,并证明了[0,1]-Top可以嵌入IFTop作为余反射子范畴。 |
| 英文摘要: |
| In this paper,we study the way-below relation on the truth-value L* of intuitionistic fuzzy set,construct an adjunction between the category of [0,1]-topological spaces(denoted by [0,1]-Top) and that of intuitionistic fuzzy topological spaces(denoted by IFTop) by the way-below relation on L*,and prove that [0,1]-Top can be embed into IFTop as a coreflective subcategory. |
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