| 基于k阶二元关系的直觉模糊粗糙集 |
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| 引用本文： | 汤小江,李克典.基于k阶二元关系的直觉模糊粗糙集[J].模糊系统与数学,2012,26(1):152-160. |
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| 作者姓名： | 汤小江 李克典 |
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| 作者单位： | 1. 江苏扬中高级中学,江苏镇江212200;漳州师范学院数学与信息科学系,福建漳州 363000
2. 漳州师范学院数学与信息科学系,福建漳州,363000 |
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| 基金项目： | 国家自然科学基金，福建省科技厅资助省属高校项目 |
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| 摘 要： | 利用k阶二元关系定义直觉模糊粗糙集,讨论了分别为串行、自反、对称、传递关系时所对应的上、下近似算子的性质。在有限论域U中,研究了任一自反二元关系所诱导的直觉模糊拓扑空间中直觉模糊闭包、内部算子与相对应的上、下近似算子的关系。
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| 关 键 词： | 直觉模糊集 k阶二元关系 直觉模糊粗糙集 直觉模糊拓扑 |
Intuitionistic Fuzzy Rough Sets Based on k-step-relation |
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| TANG Xiao-jiang
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LI Ke-dian.Intuitionistic Fuzzy Rough Sets Based on k-step-relation[J].Fuzzy Systems and Mathematics,2012,26(1):152-160. |
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| Authors: | TANG Xiao-jiang LI Ke-dian |
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| Institution: | (Department of Math and Information Science,Zhangzhou Normal Univerity,Zhangzhou 363000,China) |
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| Abstract: | In this paper,a kind of intuitionistic fuzzy(IF) rough sets based on k-step-relation is defined.Basic properties of the intuitionistic fuzzy rough approximation operators are then discussed in the case of reflexive,symmetric and transtitive crisp relations.Furthermore,We investigate the topological structures of intuitionistic fuzzy rough sets. And we see that an reflexive crisp relation can also generate IF topological spaces and showes that the lower and upper IF rough approximation operators are,respectively, the interior and closure operators of the IF topological spaces. |
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| Keywords: | Intuitionistic Fuzzy Sets k-step-relation Intuitionistic Fuzzy Rough sets Intuitionistic Fuzzy Topological Spaces |
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